Identifier
-
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00209: Permutations —pattern poset⟶ Posets
St000071: Posets ⟶ ℤ
Values
[1] => [1] => ([],1) => 1
[1,2] => [1,2] => ([(0,1)],2) => 1
[2,1] => [2,1] => ([(0,1)],2) => 1
[1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,3,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[2,1,3] => [2,1,3] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[2,3,1] => [3,2,1] => ([(0,2),(2,1)],3) => 1
[3,1,2] => [3,2,1] => ([(0,2),(2,1)],3) => 1
[3,2,1] => [3,2,1] => ([(0,2),(2,1)],3) => 1
[1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,4,3] => [1,2,4,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[1,3,2,4] => [1,3,2,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[1,3,4,2] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[1,4,2,3] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[1,4,3,2] => [1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[2,1,3,4] => [2,1,3,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[2,1,4,3] => [2,1,4,3] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[2,3,1,4] => [3,2,1,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[2,3,4,1] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[2,4,1,3] => [3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[2,4,3,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[3,1,2,4] => [3,2,1,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[3,1,4,2] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[3,2,1,4] => [3,2,1,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[3,2,4,1] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[3,4,1,2] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[3,4,2,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[4,1,2,3] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[4,1,3,2] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
[4,2,1,3] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[4,2,3,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[4,3,1,2] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[4,3,2,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,5,4] => [1,2,3,5,4] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,2,4,3,5] => [1,2,4,3,5] => ([(0,2),(0,3),(0,4),(1,7),(1,9),(2,8),(3,5),(3,8),(4,1),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9),(9,6)],10) => 9
[1,2,4,5,3] => [1,2,5,4,3] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[1,2,5,3,4] => [1,2,5,4,3] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[1,2,5,4,3] => [1,2,5,4,3] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[1,3,2,4,5] => [1,3,2,4,5] => ([(0,2),(0,3),(0,4),(1,7),(1,9),(2,8),(3,5),(3,8),(4,1),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9),(9,6)],10) => 9
[1,3,2,5,4] => [1,3,2,5,4] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 12
[1,3,4,2,5] => [1,4,3,2,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[1,3,4,5,2] => [1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[1,3,5,2,4] => [1,4,5,2,3] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 14
[1,3,5,4,2] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,4,2,3,5] => [1,4,3,2,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[1,4,2,5,3] => [1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[1,4,3,2,5] => [1,4,3,2,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[1,4,3,5,2] => [1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[1,4,5,2,3] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,4,5,3,2] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,5,2,3,4] => [1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[1,5,2,4,3] => [1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[1,5,3,2,4] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,5,3,4,2] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,5,4,2,3] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[1,5,4,3,2] => [1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[2,1,3,4,5] => [2,1,3,4,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[2,1,3,5,4] => [2,1,3,5,4] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[2,1,4,3,5] => [2,1,4,3,5] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 12
[2,1,4,5,3] => [2,1,5,4,3] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[2,1,5,3,4] => [2,1,5,4,3] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[2,1,5,4,3] => [2,1,5,4,3] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[2,3,1,4,5] => [3,2,1,4,5] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[2,3,1,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[2,3,4,1,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[2,3,4,5,1] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[2,3,5,1,4] => [4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[2,3,5,4,1] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[2,4,1,3,5] => [3,4,1,2,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 14
[2,4,1,5,3] => [3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[2,4,3,1,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[2,4,3,5,1] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[2,4,5,1,3] => [4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[2,4,5,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,5,1,3,4] => [3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[2,5,1,4,3] => [3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[2,5,3,1,4] => [4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[2,5,3,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,5,4,1,3] => [4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[2,5,4,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,1,2,4,5] => [3,2,1,4,5] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[3,1,2,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[3,1,4,2,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[3,1,4,5,2] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[3,1,5,2,4] => [4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[3,1,5,4,2] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[3,2,1,4,5] => [3,2,1,4,5] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 6
[3,2,1,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 7
[3,2,4,1,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[3,2,4,5,1] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[3,2,5,1,4] => [4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 30
[3,2,5,4,1] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[3,4,1,2,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[3,4,1,5,2] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[3,4,2,1,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[3,4,2,5,1] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[3,4,5,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,4,5,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,5,1,2,4] => [4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[3,5,1,4,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
>>> Load all 7055 entries. <<<[3,5,2,1,4] => [4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 10
[3,5,2,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,5,4,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,5,4,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,1,2,3,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[4,1,2,5,3] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[4,1,3,2,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 18
[4,1,3,5,2] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[4,1,5,2,3] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,1,5,3,2] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,2,1,3,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[4,2,1,5,3] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,2,3,1,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[4,2,3,5,1] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,2,5,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,2,5,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,3,1,2,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[4,3,1,5,2] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,3,2,1,5] => [4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
[4,3,2,5,1] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[4,3,5,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,3,5,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,1,2,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,1,3,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,2,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,2,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,3,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,3,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,1,2,3,4] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[5,1,2,4,3] => [5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 11
[5,1,3,2,4] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,1,3,4,2] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,1,4,2,3] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,1,4,3,2] => [5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,2,1,3,4] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,2,1,4,3] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => 16
[5,2,3,1,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,2,3,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,2,4,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,2,4,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,1,2,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,1,4,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,2,1,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,2,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,4,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,4,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,1,2,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,1,3,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,2,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,2,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,3,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,3,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 14
[1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,3,6,4,5] => [1,2,3,6,5,4] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 25
[1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 32
[1,2,4,6,5,3] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,5,3,4,6] => [1,2,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,2,5,3,6,4] => [1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,2,5,4,6,3] => [1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[1,2,5,6,3,4] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,5,6,4,3] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,6,3,4,5] => [1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[1,2,6,3,5,4] => [1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[1,2,6,4,3,5] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,6,4,5,3] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,6,5,3,4] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 14
[1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 35
[1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[1,3,2,6,4,5] => [1,3,2,6,5,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[1,3,4,5,6,2] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,3,4,6,5,2] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[1,3,5,2,6,4] => [1,4,6,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[1,3,5,4,2,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,3,5,4,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,3,5,6,2,4] => [1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[1,3,5,6,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,3,6,2,4,5] => [1,4,6,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[1,3,6,2,5,4] => [1,4,6,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[1,3,6,4,2,5] => [1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[1,3,6,4,5,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,3,6,5,2,4] => [1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[1,3,6,5,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,2,3,5,6] => [1,4,3,2,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,4,2,3,6,5] => [1,4,3,2,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[1,4,2,5,3,6] => [1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[1,4,2,5,6,3] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,4,2,6,5,3] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 26
[1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[1,4,3,5,2,6] => [1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[1,4,3,5,6,2] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,4,3,6,5,2] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,4,5,2,3,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,4,5,2,6,3] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,4,5,3,2,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,4,5,3,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,4,5,6,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,5,6,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,6,2,3,5] => [1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[1,4,6,2,5,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,6,3,2,5] => [1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[1,4,6,3,5,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,6,5,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,4,6,5,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,2,3,4,6] => [1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[1,5,2,3,6,4] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,5,2,4,3,6] => [1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,5,2,6,3,4] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,5,2,6,4,3] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,5,3,2,4,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,5,3,2,6,4] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,5,3,4,2,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,5,3,4,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,5,3,6,2,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,3,6,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,4,2,3,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,5,4,2,6,3] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[1,5,4,3,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,5,4,6,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,4,6,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,2,3,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,2,4,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,3,2,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,3,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,4,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,5,6,4,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,2,3,4,5] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,6,2,3,5,4] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[1,6,2,4,3,5] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,6,2,4,5,3] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,6,2,5,3,4] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,6,2,5,4,3] => [1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[1,6,3,2,4,5] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,6,3,2,5,4] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[1,6,3,4,2,5] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,3,4,5,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,3,5,2,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,3,5,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,2,3,5] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,2,5,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,3,2,5] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,3,5,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,5,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,4,5,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,2,3,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,2,4,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,3,2,4] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,3,4,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,4,2,3] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 35
[2,1,3,5,6,4] => [2,1,3,6,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[2,1,3,6,4,5] => [2,1,3,6,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 25
[2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,1,4,5,3,6] => [2,1,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[2,1,4,5,6,3] => [2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 38
[2,1,4,6,5,3] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,5,3,4,6] => [2,1,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[2,1,5,3,6,4] => [2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 30
[2,1,5,4,6,3] => [2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,1,5,6,3,4] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,5,6,4,3] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,6,3,4,5] => [2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,1,6,3,5,4] => [2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,1,6,4,3,5] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,6,4,5,3] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,6,5,3,4] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,3,1,4,5,6] => [3,2,1,4,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[2,3,1,4,6,5] => [3,2,1,4,6,5] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[2,3,1,5,4,6] => [3,2,1,5,4,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[2,3,1,5,6,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[2,3,1,6,4,5] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[2,3,1,6,5,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[2,3,4,1,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[2,3,4,1,6,5] => [4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[2,3,4,5,1,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[2,3,4,5,6,1] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[2,3,4,6,1,5] => [5,2,3,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,3,4,6,5,1] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[2,3,5,1,4,6] => [4,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[2,3,5,1,6,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[2,3,5,4,1,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[2,3,5,4,6,1] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[2,3,5,6,1,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,3,5,6,4,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,3,6,1,4,5] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[2,3,6,1,5,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[2,3,6,4,1,5] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,3,6,4,5,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,3,6,5,1,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,3,6,5,4,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,4,1,3,5,6] => [3,4,1,2,5,6] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 32
[2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 38
[2,4,1,5,6,3] => [3,6,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,4,1,6,3,5] => [3,5,1,6,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[2,4,1,6,5,3] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,4,3,1,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[2,4,3,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[2,4,3,5,1,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[2,4,3,5,6,1] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[2,4,3,6,1,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,4,3,6,5,1] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[2,4,5,1,3,6] => [4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[2,4,5,1,6,3] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,4,5,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[2,4,5,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,4,5,6,1,3] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,4,5,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[2,4,6,1,3,5] => [4,5,6,1,2,3] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[2,4,6,1,5,3] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,4,6,3,1,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,4,6,3,5,1] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[2,4,6,5,1,3] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,4,6,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,5,1,3,6,4] => [3,6,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,5,1,4,6,3] => [3,6,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,5,1,6,3,4] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,5,1,6,4,3] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,5,3,1,4,6] => [4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[2,5,3,1,6,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,5,3,4,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[2,5,3,4,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,5,3,6,1,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,5,3,6,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[2,5,4,1,3,6] => [4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[2,5,4,1,6,3] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,5,4,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[2,5,4,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[2,5,4,6,1,3] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,5,4,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[2,5,6,1,3,4] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,5,6,1,4,3] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,5,6,3,1,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,5,6,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,5,6,4,1,3] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,5,6,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,6,1,3,4,5] => [3,6,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,6,1,3,5,4] => [3,6,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[2,6,1,4,3,5] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,6,1,4,5,3] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,6,1,5,3,4] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,6,1,5,4,3] => [3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[2,6,3,1,4,5] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,6,3,1,5,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[2,6,3,4,1,5] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,6,3,4,5,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[2,6,3,5,1,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[2,6,3,5,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[2,6,4,1,3,5] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,6,4,1,5,3] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,6,4,3,1,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,6,4,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,6,4,5,1,3] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,6,4,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,6,5,1,3,4] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,6,5,1,4,3] => [4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[2,6,5,3,1,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,6,5,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,6,5,4,1,3] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[2,6,5,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,1,2,4,5,6] => [3,2,1,4,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[3,1,2,4,6,5] => [3,2,1,4,6,5] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[3,1,2,5,4,6] => [3,2,1,5,4,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[3,1,2,5,6,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,1,2,6,4,5] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,1,2,6,5,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,1,4,2,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[3,1,4,2,6,5] => [4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[3,1,4,5,2,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[3,1,4,5,6,2] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[3,1,4,6,2,5] => [5,2,3,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[3,1,4,6,5,2] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[3,1,5,2,4,6] => [4,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[3,1,5,2,6,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,1,5,4,2,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[3,1,5,4,6,2] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[3,1,5,6,2,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,1,5,6,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,1,6,2,4,5] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,1,6,2,5,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,1,6,4,2,5] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,1,6,4,5,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,1,6,5,2,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,1,6,5,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 23
[3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 25
[3,2,1,5,6,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,2,1,6,4,5] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 14
[3,2,4,1,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[3,2,4,1,6,5] => [4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[3,2,4,5,1,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[3,2,4,5,6,1] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[3,2,4,6,1,5] => [5,2,3,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[3,2,4,6,5,1] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[3,2,5,1,4,6] => [4,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,19),(2,10),(2,13),(2,19),(2,20),(3,9),(3,13),(3,18),(3,20),(4,12),(4,14),(4,18),(4,19),(4,20),(5,11),(5,14),(5,18),(5,19),(5,20),(6,8),(6,9),(6,10),(6,11),(6,12),(8,21),(8,22),(9,15),(9,21),(9,25),(10,15),(10,22),(10,25),(11,16),(11,21),(11,22),(11,25),(12,16),(12,21),(12,22),(12,25),(13,15),(13,25),(14,16),(14,17),(14,25),(15,24),(16,23),(16,24),(17,23),(18,17),(18,21),(18,25),(19,17),(19,22),(19,25),(20,17),(20,25),(21,23),(21,24),(22,23),(22,24),(23,7),(24,7),(25,23),(25,24)],26) => 128
[3,2,5,1,6,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,2,5,4,1,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[3,2,5,4,6,1] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[3,2,5,6,1,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,2,5,6,4,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,2,6,1,4,5] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,2,6,1,5,4] => [4,2,6,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,16),(1,17),(2,9),(2,13),(2,15),(2,17),(3,12),(3,14),(3,15),(3,17),(4,11),(4,14),(4,16),(4,17),(5,8),(5,11),(5,12),(5,15),(5,16),(6,8),(6,9),(6,10),(6,15),(6,16),(8,19),(8,20),(9,19),(9,22),(9,23),(10,20),(10,22),(10,23),(11,19),(11,22),(11,24),(12,20),(12,22),(12,24),(13,22),(13,23),(14,22),(14,24),(15,19),(15,20),(15,23),(15,24),(16,19),(16,20),(16,23),(16,24),(17,23),(17,24),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21),(23,18),(23,21),(24,18),(24,21)],25) => 140
[3,2,6,4,1,5] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,2,6,4,5,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,2,6,5,1,4] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,2,6,5,4,1] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,4,1,2,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[3,4,1,2,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[3,4,1,5,2,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[3,4,1,5,6,2] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[3,4,1,6,2,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[3,4,1,6,5,2] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[3,4,2,1,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[3,4,2,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[3,4,2,5,1,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[3,4,2,5,6,1] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[3,4,2,6,1,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[3,4,2,6,5,1] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[3,4,5,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,4,5,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,4,5,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,4,5,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,4,5,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,4,5,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,4,6,1,2,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[3,4,6,1,5,2] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[3,4,6,2,1,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[3,4,6,2,5,1] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[3,4,6,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,4,6,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,5,1,2,4,6] => [4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[3,5,1,2,6,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,5,1,4,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,5,1,4,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,5,1,6,2,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,5,1,6,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,5,2,1,4,6] => [4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 46
[3,5,2,1,6,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,5,2,4,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,5,2,4,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,5,2,6,1,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,5,2,6,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,5,4,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,5,4,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,5,4,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[3,5,4,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[3,5,4,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,5,4,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,5,6,1,2,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,5,6,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,5,6,2,1,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,5,6,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,5,6,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,5,6,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,1,2,4,5] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,6,1,2,5,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,6,1,4,2,5] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,6,1,4,5,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,6,1,5,2,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,6,1,5,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,6,2,1,4,5] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,6,2,1,5,4] => [4,6,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[3,6,2,4,1,5] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,6,2,4,5,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,6,2,5,1,4] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[3,6,2,5,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[3,6,4,1,2,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,6,4,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,4,2,1,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,6,4,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,4,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,4,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,5,1,2,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,6,5,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,5,2,1,4] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[3,6,5,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,5,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,6,5,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,1,2,3,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[4,1,2,3,6,5] => [4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[4,1,2,5,3,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[4,1,2,5,6,3] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[4,1,2,6,3,5] => [5,2,3,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[4,1,2,6,5,3] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,1,3,2,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 42
[4,1,3,2,6,5] => [4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 49
[4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[4,1,3,5,6,2] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[4,1,3,6,2,5] => [5,2,3,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,24),(1,25),(2,9),(2,11),(2,13),(2,15),(3,8),(3,10),(3,13),(3,14),(4,8),(4,11),(4,12),(4,16),(5,9),(5,10),(5,12),(5,17),(6,1),(6,14),(6,15),(6,16),(6,17),(8,20),(8,24),(9,20),(9,25),(10,20),(10,23),(10,25),(11,20),(11,23),(11,24),(12,19),(12,20),(13,18),(13,24),(13,25),(14,18),(14,23),(14,24),(15,18),(15,23),(15,25),(16,19),(16,23),(16,24),(16,25),(17,19),(17,23),(17,24),(17,25),(18,22),(19,21),(19,22),(20,21),(21,7),(22,7),(23,21),(23,22),(24,21),(24,22),(25,21),(25,22)],26) => 104
[4,1,3,6,5,2] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,1,5,2,3,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[4,1,5,2,6,3] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[4,1,5,3,2,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[4,1,5,3,6,2] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[4,1,5,6,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,1,5,6,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,1,6,2,3,5] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[4,1,6,2,5,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,1,6,3,2,5] => [5,2,6,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,15),(1,16),(2,8),(2,11),(2,16),(2,18),(3,8),(3,10),(3,15),(3,17),(4,9),(4,13),(4,14),(4,17),(4,18),(5,10),(5,12),(5,13),(5,16),(5,18),(6,11),(6,12),(6,14),(6,15),(6,17),(8,21),(8,25),(9,23),(9,24),(10,21),(10,23),(10,25),(11,21),(11,24),(11,25),(12,23),(12,24),(12,25),(13,19),(13,23),(13,25),(14,19),(14,24),(14,25),(15,24),(15,25),(16,23),(16,25),(17,19),(17,21),(17,23),(17,24),(18,19),(18,21),(18,23),(18,24),(19,20),(19,22),(20,7),(21,20),(21,22),(22,7),(23,20),(23,22),(24,20),(24,22),(25,22)],26) => 130
[4,1,6,3,5,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,1,6,5,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,1,6,5,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,2,1,3,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[4,2,1,3,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[4,2,1,5,3,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[4,2,1,5,6,3] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,2,1,6,3,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[4,2,1,6,5,3] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[4,2,3,1,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[4,2,3,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[4,2,3,5,1,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[4,2,3,5,6,1] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,2,3,6,1,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[4,2,3,6,5,1] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[4,2,5,1,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,2,5,1,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,2,5,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,2,5,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,2,5,6,1,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,2,5,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,2,6,1,3,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[4,2,6,1,5,3] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[4,2,6,3,1,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[4,2,6,3,5,1] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[4,2,6,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,2,6,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,3,1,2,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[4,3,1,2,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[4,3,1,5,2,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[4,3,1,5,6,2] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,3,1,6,2,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[4,3,1,6,5,2] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => 10
[4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => 11
[4,3,2,5,1,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[4,3,2,5,6,1] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[4,3,2,6,1,5] => [5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 88
[4,3,2,6,5,1] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[4,3,5,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,3,5,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,3,5,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,3,5,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,3,5,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,3,5,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,3,6,1,2,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[4,3,6,1,5,2] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[4,3,6,2,1,5] => [5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 42
[4,3,6,2,5,1] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[4,3,6,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,3,6,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,1,2,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,1,2,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,1,3,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,1,3,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,1,6,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,1,6,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,2,1,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,2,1,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,2,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,2,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,2,6,1,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,2,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,3,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,3,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,3,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[4,5,3,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[4,5,3,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,3,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,5,6,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,6,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,6,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,6,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,6,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,5,6,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,1,2,3,5] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[4,6,1,2,5,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,6,1,3,2,5] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 34
[4,6,1,3,5,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,6,1,5,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,6,1,5,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[4,6,2,1,3,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[4,6,2,1,5,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,2,3,1,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[4,6,2,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,2,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,2,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,3,1,2,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[4,6,3,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,3,2,1,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 18
[4,6,3,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,3,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,3,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,6,5,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,1,2,3,4,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[5,1,2,3,6,4] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[5,1,2,4,3,6] => [5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 47
[5,1,2,4,6,3] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[5,1,2,6,3,4] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[5,1,2,6,4,3] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[5,1,3,2,4,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[5,1,3,2,6,4] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[5,1,3,4,2,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[5,1,3,4,6,2] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[5,1,3,6,2,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,3,6,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,4,2,3,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[5,1,4,2,6,3] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[5,1,4,3,2,6] => [5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 74
[5,1,4,3,6,2] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[5,1,4,6,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,4,6,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,2,3,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,2,4,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,3,2,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,3,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,4,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,1,6,4,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,2,1,3,4,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[5,2,1,3,6,4] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[5,2,1,4,3,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 70
[5,2,1,4,6,3] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[5,2,1,6,3,4] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[5,2,1,6,4,3] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[5,2,3,1,4,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,2,3,1,6,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,2,3,4,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,2,3,4,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,2,3,6,1,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,2,3,6,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,2,4,1,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,2,4,1,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,2,4,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,2,4,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,2,4,6,1,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,2,4,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,2,6,1,3,4] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[5,2,6,1,4,3] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[5,2,6,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,2,6,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,2,6,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,2,6,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,1,2,4,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,1,2,6,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,1,4,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,1,4,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,1,6,2,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,1,6,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,2,1,4,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,2,1,6,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,2,4,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,2,4,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,2,6,1,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,2,6,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,4,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,4,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,4,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,3,4,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,3,4,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,4,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,3,6,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,6,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,6,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,6,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,6,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,3,6,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,1,2,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,1,2,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,1,3,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,1,3,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,1,6,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,1,6,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,2,1,3,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,2,1,6,3] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,2,3,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,2,3,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,2,6,1,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,2,6,3,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,3,1,2,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,3,1,6,2] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 5
[5,4,3,2,6,1] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[5,4,3,6,1,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,3,6,2,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,4,6,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,6,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,6,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,6,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,6,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,6,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,1,2,3,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,1,2,4,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,1,3,2,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,1,3,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,1,4,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,1,4,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[5,6,2,1,3,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,2,1,4,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,2,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,2,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,2,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,2,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,3,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,6,4,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,1,2,3,4,5] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[6,1,2,3,5,4] => [6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 19
[6,1,2,4,3,5] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,1,2,4,5,3] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,1,2,5,3,4] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,1,2,5,4,3] => [6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,1,3,2,4,5] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[6,1,3,2,5,4] => [6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 79
[6,1,3,4,2,5] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,3,4,5,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,3,5,2,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,3,5,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,2,3,5] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,2,5,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,3,2,5] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,3,5,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,5,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,4,5,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,2,3,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,2,4,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,3,2,4] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,3,4,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,4,2,3] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,1,5,4,3,2] => [6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,2,1,3,4,5] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,2,1,3,5,4] => [6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 49
[6,2,1,4,3,5] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[6,2,1,4,5,3] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[6,2,1,5,3,4] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[6,2,1,5,4,3] => [6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 60
[6,2,3,1,4,5] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,2,3,1,5,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,2,3,4,1,5] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,2,3,4,5,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,2,3,5,1,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,2,3,5,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,2,4,1,3,5] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[6,2,4,1,5,3] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[6,2,4,3,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,4,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,4,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,4,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,5,1,3,4] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[6,2,5,1,4,3] => [6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 42
[6,2,5,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,5,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,5,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,2,5,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,1,2,4,5] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,3,1,2,5,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,3,1,4,2,5] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,1,4,5,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,1,5,2,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,1,5,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,2,1,4,5] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,3,2,1,5,4] => [6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 35
[6,3,2,4,1,5] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,2,4,5,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,2,5,1,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,2,5,4,1] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,3,4,1,2,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,4,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,4,2,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,4,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,4,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,4,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,3,5,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,1,2,3,5] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,1,2,5,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,1,3,2,5] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,1,3,5,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,1,5,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,1,5,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,4,2,1,3,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,2,1,5,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,2,3,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,2,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,2,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,2,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,1,2,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,2,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,3,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,4,5,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,1,2,3,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,1,2,4,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,1,3,2,4] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,1,3,4,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,1,4,2,3] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,1,4,3,2] => [6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 19
[6,5,2,1,3,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,2,1,4,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,2,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,2,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,2,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,2,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,3,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,6,7,4,5] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,7,5,4,6] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,7,5,6,4] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,7,6,4,5] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[1,2,4,6,7,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,4,7,5,6,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,4,7,6,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,6,7,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,6,7,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,7,3,6,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,7,4,6,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,7,6,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,5,7,6,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,4,7,3,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,4,7,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,5,7,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,5,7,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,3,4,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,3,5,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,4,3,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,4,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,5,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,6,7,5,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,4,5,3,6] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,4,5,6,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,4,6,3,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,4,6,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,3,4,6] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,3,6,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,4,3,6] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,4,6,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,6,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,5,6,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,3,4,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,3,5,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,4,3,5] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,4,5,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,5,3,4] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[1,3,5,4,2,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,3,5,7,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,6,7,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,6,7,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,7,5,4,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,7,5,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,7,6,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,3,7,6,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,5,2,3,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,4,5,3,2,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,4,5,7,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,5,7,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,6,7,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,6,7,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,6,7,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,6,7,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,5,2,6,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,5,3,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,5,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,5,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,6,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,6,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,6,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,4,7,6,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,3,2,4,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,5,3,4,2,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,5,3,7,6,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,3,7,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,4,2,3,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[1,5,4,7,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,4,7,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,6,7,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,3,2,6,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,3,4,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,3,6,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,3,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,4,2,6,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,4,3,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,4,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,4,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,5,7,6,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,3,7,4,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,3,7,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,3,7,5,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,3,7,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,2,3,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,3,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,4,7,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,5,7,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,2,4,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,2,5,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,4,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,5,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,3,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,2,3,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,3,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,4,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,6,7,5,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,5,4,2,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,5,4,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,5,6,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,5,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,6,4,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,6,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,6,5,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,3,6,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,2,3,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,2,6,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,3,2,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,3,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,5,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,2,3,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,3,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,4,6,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,2,4,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,2,6,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,4,2,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,4,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,6,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,3,6,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,2,3,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,2,6,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,3,2,6] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,3,6,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,6,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,4,6,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,5,6,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,2,4,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,2,5,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,4,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,4,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,5,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,3,5,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,2,3,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,2,5,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,3,2,5] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,3,5,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,5,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,4,5,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,2,3,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,2,4,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,3,2,4] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,3,4,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,4,2,3] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,1,3,5,7,6,4] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,6,7,4,5] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,6,7,5,4] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,7,5,4,6] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,7,5,6,4] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,7,6,4,5] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,1,4,6,5,3,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,5,6,3,4,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,5,6,4,3,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,6,4,3,5,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,6,4,5,3,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,6,5,3,4,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 60
[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[2,4,3,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[2,4,3,1,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[2,4,5,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[2,4,6,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,4,6,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,4,7,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,4,7,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,3,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[2,5,4,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[2,5,6,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,5,6,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,5,6,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,6,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,7,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,7,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,7,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,5,7,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,4,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,6,4,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,6,4,7,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,4,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,5,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,6,5,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[2,6,5,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,5,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,6,7,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,4,5,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,4,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,4,6,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,4,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,3,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,4,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,5,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,7,6,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,1,2,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,1,2,5,4,6,7] => [3,2,1,5,4,6,7] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 60
[3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[3,4,1,2,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[3,4,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[3,4,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[3,4,5,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,4,5,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,4,6,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,4,6,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,4,6,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,4,6,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,4,7,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,4,7,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,4,7,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,4,7,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,1,4,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,5,2,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,5,4,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,5,4,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[3,5,6,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,5,6,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,5,6,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,5,6,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,5,6,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,6,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,6,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,6,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,5,7,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,4,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,4,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,4,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,4,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,4,7,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,4,7,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,4,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,4,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,5,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,5,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,5,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,5,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[3,6,5,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,5,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,5,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,5,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,6,7,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,5,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,5,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,6,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,6,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,4,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,1,4,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,2,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,4,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,4,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,5,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,7,6,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,1,3,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[4,2,1,3,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[4,2,3,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[4,2,3,1,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[4,2,5,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,2,5,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,2,6,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,2,6,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,2,6,7,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,6,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,7,5,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,7,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,7,6,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,2,7,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,1,2,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[4,3,1,2,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 20
[4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 44
[4,3,5,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,3,5,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,3,6,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,3,6,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,3,6,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,6,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,7,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,7,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,7,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,7,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,1,2,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,1,3,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,2,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,2,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,3,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,5,6,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,6,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,6,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,6,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,6,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,6,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,5,7,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,2,1,5,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,2,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,2,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,2,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,2,7,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,2,7,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,2,7,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,2,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,3,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,3,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,3,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,3,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,3,7,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,3,7,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,3,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,3,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[4,6,5,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,5,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,6,7,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,5,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,5,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,5,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,6,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,6,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,6,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,2,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,5,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,5,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,6,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,6,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,3,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,1,2,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,1,3,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,2,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,2,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,3,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,3,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,5,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,7,6,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,3,1,4,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,2,3,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,2,4,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,2,4,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,2,6,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,2,6,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,2,6,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,2,6,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,2,6,7,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,6,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,6,7,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,6,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,3,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,4,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,6,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,6,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,2,7,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,1,2,4,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,1,4,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,2,1,4,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,2,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,4,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,4,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,3,6,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,3,6,7,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,6,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,6,7,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,6,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,6,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,6,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,1,6,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,2,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,3,7,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,1,2,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,1,3,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,2,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,2,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,3,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 15
[5,4,6,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,4,6,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,6,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,6,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,6,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,6,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,6,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,7,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,1,3,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,1,4,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,2,7,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,7,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,7,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,7,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,2,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,3,7,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,7,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,3,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[5,6,4,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,4,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,6,7,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,3,1,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,3,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,3,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,4,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,4,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,4,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,2,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,1,2,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,1,4,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,1,6,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,2,1,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,2,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,2,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,4,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,4,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,3,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,1,2,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,1,3,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,2,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,2,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,3,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,3,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,4,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,7,6,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,4,3,1,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,4,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,4,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,4,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,4,7,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,4,7,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,4,7,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,4,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,5,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,5,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,5,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,5,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,2,5,7,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,5,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,5,7,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,5,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,3,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,3,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,4,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,4,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,5,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,5,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,2,7,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,1,2,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,2,1,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,4,7,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,7,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,7,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,7,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,4,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,3,5,7,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,7,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,5,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,1,4,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,1,5,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,2,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,2,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,3,7,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,1,3,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,1,5,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,3,1,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,2,7,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,7,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,7,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,7,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,7,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,2,7,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,1,2,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,2,1,5,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,3,7,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,7,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,7,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,7,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,7,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,3,7,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,4,5,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,5,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,2,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,3,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,4,7,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,1,3,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,1,4,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,2,7,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,7,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,7,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,7,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,7,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,2,7,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,3,7,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,7,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,7,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,7,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,7,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,3,7,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 6
[6,5,4,7,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,7,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,7,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,7,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,7,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,7,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,7,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,1,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,1,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,2,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,2,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,2,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,4,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,5,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,1,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,1,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,3,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,2,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,3,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,4,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,7,5,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,5,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,5,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,5,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,6,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,6,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,6,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,4,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,3,4,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,3,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,3,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,4,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,4,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,4,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,6,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,6,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,5,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,3,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,3,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,4,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,4,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,5,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,5,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,2,6,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,4,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,1,4,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,1,4,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,1,6,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,2,4,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,2,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,2,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,5,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,1,4,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,1,5,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,2,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,2,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,3,6,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,1,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,5,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,2,6,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,5,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,3,6,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,2,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,2,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,3,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,3,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,1,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,5,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,2,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,3,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,4,6,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,1,4,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,1,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,4,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,3,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,1,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,4,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,2,6,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,2,4,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,2,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,4,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,4,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,6,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,1,6,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,1,4,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,1,6,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,4,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,4,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,6,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,2,6,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,4,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,3,6,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,2,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,2,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,3,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,3,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,6,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,1,6,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,1,3,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,1,6,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,3,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,3,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,6,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,2,6,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,1,2,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,1,6,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,2,1,6] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,2,6,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,6,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,3,6,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,4,6,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,5,6,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,1,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,1,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,3,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,4,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,2,5,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,2,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,2,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,4,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,4,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,5,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,1,5,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,1,4,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,1,5,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,4,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,4,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,5,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,2,5,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,4,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,3,5,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,2,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,2,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,3,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,3,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,5,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,1,5,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,1,3,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,1,5,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,3,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,3,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,5,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,2,5,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,1,2,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,1,5,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,2,1,5] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,2,5,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,5,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,3,5,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,4,5,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,2,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,2,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,3,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,3,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,4,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,1,4,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,1,3,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,1,4,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,3,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,3,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,4,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,2,4,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,1,2,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,1,4,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,2,1,4] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,2,4,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,4,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,3,4,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,1,2,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,1,3,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,2,1,3] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,2,3,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,3,1,2] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,2,5,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,5,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,1,3,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,3,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,3,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,3,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,2,5,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,3,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,1,2,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,1,3,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,1,3,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,2,1,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,2,1,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,1,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,1,2,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,1,2,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,3,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,7,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,4,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,6,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,7,8,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,8,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,7,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,7,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,6,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,8,6,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,8,7,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,6,8,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,7,8,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,5,8,7,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,5,7,8,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,5,8,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,5,6,8,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,4,8,7,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,4,7,8,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,4,6,8,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,3,2,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,3,2,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,2,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,2,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,4,3,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,4,3,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,4,3,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,1,4,3,7,8,6,5] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,1,4,3,6,8,7,5] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,5,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,4,6,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,5,6,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,6,5,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,5,6,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,3,6,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,4,6,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,6,5,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,5,6,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,4,6,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[3,4,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,4,3,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,1,4,3,8,6,7,5] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,1,4,8,6,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,4,8,6,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,4,6,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,4,6,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,4,7,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,5,6,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,5,6,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,5,7,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,6,5,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,6,5,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,7,5,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,4,3,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,6,4,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,6,4,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,8,4,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,3,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[4,2,3,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,2,3,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,2,3,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,2,4,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,2,4,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,4,7,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,5,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,6,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,2,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,3,4,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,3,4,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,4,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,6,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,3,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,3,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,3,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,6,8,1,3,5,7] => [5,6,7,8,1,2,3,4] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,1,4,3,7,8,5,6] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[2,1,6,7,8,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,4,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[3,4,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,5,7,8,1,2,4,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[4,5,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,7,8,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,5,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,4,6,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,5,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,4,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,4,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,7,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,6,8,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,6,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,2,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,1,2,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,4,7,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,7,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,8,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,6,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,7,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,6,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,4,1,3,5,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,8,3,4,1,2,5,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,5,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,5,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,7,1,3,4,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,3,7,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,7,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,7,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,3,7,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,1,3,5,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,2,5,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,3,5,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,4,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,1,2,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,1,3,5,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,2,5,1,3,4,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,2,7,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,3,7,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,1,3,5,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,5,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,3,5,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,3,6,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,6,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,3,7,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,2,7,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,3,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,4,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,4,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,3,8,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,3,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,3,7,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,6,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,6,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,6,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,5,6,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,5,6,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,5,6,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,7,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,7,8,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,7,8,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,7,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,2,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,1,2,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,1,6,7,8,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,7,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,7,8,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,7,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,1,2,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,3,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[6,4,5,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,4,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,5,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,4,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,4,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,6,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,7,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,6,8,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,6,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,1,4,3,8,7,5,6] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[3,4,1,2,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,1,6,8,7,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,8,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,6,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,7,6,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,7,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,2,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,5,7,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,2,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[7,8,5,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,1,3,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,3,1,2,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,5,8,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,3,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,3,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,7,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,1,4,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,3,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,2,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,2,4,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,6,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,7,1,5,3,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,7,2,1,4,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,1,3,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,1,5,2,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,3,5,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,6,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,1,4,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,5,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,5,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,6,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,3,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,3,7,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,7,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,8,7,5,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,8,5,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,3,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,7,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,5,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,3,8,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,7,8,4,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,7,4,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,4,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,5,7,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,3,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,3,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,2,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,2,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,2,1,3,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,7,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,2,7,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,5,7,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,3,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,8,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,6,7,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,5,8,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,4,7,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,3,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,5,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,2,1,4,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,2,7,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,7,4,3,6,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,3,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,2,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,1,5,3,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,6,8,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,5,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,5,8,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,2,5,1,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,4,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,5,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,6,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,2,8,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,8,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,5,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,2,1,5,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,3,8,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,5,3,1,4,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[6,7,5,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,6,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,6,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,6,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,3,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,7,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,8,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,4,7,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,7,1,2,4,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[4,6,8,2,7,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,3,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,5,3,8,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,5,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,3,8,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,1,2,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,5,8,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,3,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,2,1,3,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,2,7,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,7,8,4,3,5,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,7,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,1,6,3,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,2,8,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,8,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,8,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,3,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,3,8,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,3,8,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,7,8,3,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,1,4,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,8,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,2,5,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,6,8,4,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,7,8,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,5,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,4,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,6,4,8,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,5,6,8,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,5,8,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,5,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,4,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,5,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,6,5,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,4,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,2,7,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,7,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,6,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,2,8,1,7,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,5,7,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,4,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,4,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,4,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,6,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,6,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,7,6,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,4,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,6,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,6,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,1,2,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,2,1,3,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,6,7,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,3,4,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,2,6,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,2,8,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,7,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,2,8,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,6,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,4,8,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,3,8,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,6,2,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,7,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,1,4,7,8,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,8,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,2,8,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,5,8,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,4,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,2,7,1,4] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,7,3,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,3,4,6,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,8,7,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,5,8,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,1,5,3,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,7,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,7,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,6,7,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,3,5,7,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,3,8,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,3,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,8,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,2,8,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,8,4,7,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,4,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,8,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,3,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,2,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,2,6,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,5,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,7,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,7,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,4,8,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,8,4,7,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,8,4,7,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,8,5,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,5,7,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,6,7,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,6,7,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,7,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,8,4,7,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,8,2,5,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,5,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,2,6,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,6,1,7,3,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,7,4,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,4,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,3,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,4,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,4,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,6,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,6,2,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,3,6,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,5,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,3,5,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,6,3,8,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,3,8,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,7,4,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,7,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,7,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,3,8,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,8,3,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,2,5,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,5,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,4,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,5,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,4,6,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,8,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,7,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,8,6,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,6,8,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,7,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,4,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,6,8,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,5,6,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,1,2,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,5,6,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,1,3,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,2,4,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,4,1,2,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,2,8,1,3,4,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,8,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,3,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,3,8,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,2,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,3,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,3,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,5,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,3,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,6,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,6,8,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,6,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,6,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,5,8,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,5,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,5,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,3,5,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,7,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,4,7,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,7,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,7,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,7,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,7,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,7,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,5,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,7,4,8,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,8,3,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,3,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,2,8,4,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,2,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,6,2,8,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,5,3,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,3,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,3,5,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,4,3,6,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,5,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,3,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,2,4,1,6,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,3,6,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,4,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,7,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,2,6,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,2,6,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,2,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,6,2,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,4,2,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,4,8,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,6,4,8,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,2,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,3,8,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,4,6,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,2,1,5,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,4,3,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,7,8,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,3,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,2,7,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,7,1,6,3,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,8,2,7,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,2,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,6,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,4,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,6,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,5,8,6,4,1,3,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[7,6,5,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,5,8,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,4,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,5,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,1,4,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,5,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,5,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,7,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,1,5,3,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,1,8,6,4,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,7,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,1,3,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[8,5,3,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,2,5,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,4,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,6,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,2,1,3,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,4,3,8,6,5,7] => [2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 172
[4,2,1,3,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,6,8,2,1,3,5,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[2,1,8,6,4,3,5,7] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,4,2,1,3,5,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,8,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,2,6,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,2,7,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,3,4,7,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,7,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,6,4,1,7,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,2,6,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,6,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,1,5,7,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,3,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,4,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,2,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,7,6,1,3,5] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[3,5,8,7,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,3,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,5,8,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,7,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,3,8,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,2,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,7,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,2,8,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,2,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,4,8,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,3,6,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,4,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,3,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,4,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,3,6,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,7,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,6,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,7,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,4,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,4,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,6,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,4,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,8,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,5,4,3,7] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,3,8,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,6,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,6,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,8,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,6,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,8,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,5,8,7,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,5,8,7,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,5,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,8,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,4,8,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,2,1,3,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,7,3,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,2,6,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,3,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,2,7,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,7,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,7,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,3,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,3,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,5,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,6,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,1,5,8,7,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,7,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,1,7,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,8,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,5,6,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,7,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,4,7,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,8,4,7,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,8,6,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,7,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,2,7,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,6,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,2,7,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,6,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,5,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,5,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,8,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,5,6,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,8,7,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,7,8,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,6,8,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,5,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,5,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,6,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,6,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,7,6,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,7,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,4,2,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,6,7,8,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,2,3,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,7,6,8,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,7,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,6,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,4,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,6,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,3,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[7,3,4,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,7,2,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,4,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,2,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,7,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,1,5,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,6,1,4,3,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,7,3,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,7,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,3,7,5,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,7,3,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,8,4,6,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,7,8,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,2,8,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,2,7,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,6,7,1,3,5] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[2,1,8,5,6,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,2,4,8,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,5,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,4,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,3,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,5,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,1,3,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,8,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,1,2,4,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[8,2,5,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,1,2,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,8,3,5,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,5,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,3,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,6,3,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,1,2,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,4,7,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,5,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,5,1,4,3,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,8,2,5,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,8,3,7,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,8,3,7,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,4,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,5,8,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,5,8,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,6,8,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,6,8,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,6,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,4,8,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,7,4,8,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,6,5,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,6,5,8,4,7,1,3] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,6,5,8,3,7,1,4] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,6,4,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,4,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,2,5,7,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,8,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,5,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,5,7,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,6,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,4,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,5,8,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,8,5,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,3,6,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,6,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,2,6,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,5,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,8,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,2,4,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,5,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,2,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,3,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,5,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,2,5,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,6,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,6,4,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,7,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,8,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,7,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,1,2,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,2,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[7,6,5,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,6,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,4,8,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,4,1,3,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[6,5,7,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,7,8,2,1,4,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[6,5,7,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,3,1,4,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[4,6,7,8,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,7,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,7,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,5,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,5,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,3,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[3,4,2,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[6,3,8,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,2,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,5,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,5,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,6,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,4,8,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,3,7,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,2,8,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,7,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,2,5,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,1,2,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[7,8,4,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,2,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,3,5,7,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,3,7,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,4,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,2,8,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,7,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,5,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,8,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,6,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,7,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,4,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,4,3,1,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,1,3,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,2,1,3,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,8,6,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,1,3,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,7,8,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,1,3,6,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,8,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,4,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,4,8,7,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,6,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,3,1,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,3,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,2,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,4,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,2,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,6,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,7,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,6,8,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,8,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,1,6,8,4,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,8,6,4,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,7,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,6,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,4,8,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,5,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,5,8,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,5,6,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,1,4,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,6,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,2,1,5,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[4,8,2,6,5,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,5,4,1,3,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[6,4,8,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,8,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,6,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,6,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,7,4,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,7,4,3,5,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,6,5,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,6,5,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,7,5,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,8,5,1,2,4,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[5,7,6,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,8,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,2,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,6,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,5,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,5,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,5,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,4,6,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,4,8,7,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,5,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,2,5,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,3,8,6,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,5,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,4,8,6,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,8,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,4,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,3,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,7,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,2,4,3,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,7,4,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,4,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,3,8,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,3,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,3,4,2,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,6,4,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,6,4,2,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,7,8,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,5,6,4,3,7] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,7,8,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,6,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,3,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,6,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,3,7,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,2,8,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,6,2,1,5,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,6,7,8,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,5,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,6,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,4,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,4,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,8,6,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,7,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,5,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,3,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,2,8,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,5,8,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,2,8,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,2,1,5,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[2,7,8,4,3,5,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,4,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,2,6,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,6,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,6,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,7,6,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,3,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,6,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,4,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,6,4,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,8,4,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,8,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,4,8,3,6,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,5,8,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,4,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,1,4,3,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,3,8,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,5,6,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,6,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,4,6,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,7,8,6,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,2,3,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,7,2,6,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,7,8,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,5,7,8,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,4,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,4,8,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,4,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,1,4,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,7,4,8,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,8,4,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,5,8,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,3,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,2,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,6,3,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,7,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,7,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,1,4,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,7,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,7,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,3,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,8,6,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,4,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,8,5,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,3,5,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,5,4,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,7,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,6,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,2,8,1,7,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,3,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,6,7,8,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,5,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,6,8,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,4,6,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,3,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,3,7,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,4,8,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,5,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,2,7,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,5,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,4,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,3,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,6,5,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,7,4,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,7,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,6,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,2,6,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,3,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,7,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,8,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,7,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,3,1,5,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,4,6,5,3,7] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,2,6,3,5,1,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,6,5,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,4,8,6,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,2,8,6,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,1,5,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,4,3,7,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,7,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,1,7,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,7,4,8,3,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,7,4,8,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,2,8,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,7,8,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,7,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,7,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,3,1,5,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,2,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,6,8,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,7,8,3,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,3,7,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,3,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,6,5,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,3,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,7,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,4,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,8,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,3,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[8,6,4,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,4,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,5,8,6,3,1,4,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[6,3,8,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,5,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,1,5,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,2,1,7,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,3,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,2,1,6,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,6,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,7,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,8,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,8,6,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,4,3,7,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,6,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,3,6,4,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,7,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,4,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,4,7,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,1,2,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,8,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,6,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,4,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,5,7,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,5,7,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,7,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,2,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,7,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,3,1,5,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,2,8,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,2,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,1,2,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,7,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,2,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,4,2,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,2,7,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,5,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,6,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,7,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,7,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,3,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,2,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,3,4,8,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,4,8,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,4,3,8,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,3,8,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,3,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,7,3,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,3,6,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,8,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,2,4,1,3,7,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,5,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,4,7,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,1,5,2,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,5,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,4,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,6,1,5,2,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,6,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,7,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,3,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,7,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,8,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,6,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,3,5,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,6,8,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,4,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,2,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,7,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,6,4,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,4,8,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,4,6,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,5,7,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,6,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,5,8,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,2,4,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,5,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,3,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,5,2,1,3,4,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,5,2,7,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,4,3,5,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,3,7,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,7,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,3,8,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,5,8,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,7,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,1,3,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,1,3,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,5,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,1,7,2,4] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,6,2,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,4,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,4,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,6,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,5,6,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,6,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,4,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,8,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,3,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,4,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,4,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,8,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,8,6,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,8,4,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,7,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,3,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,5,8,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,1,3,7,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,8,4,7,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,1,5,3,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,6,3,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,6,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,2,7,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,5,8,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,7,3,8,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,8,4,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,6,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,6,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,7,8,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,6,7,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,5,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,2,7,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,7,6,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,6,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,8,7,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,5,8,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,8,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,4,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,8,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,8,7,5,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,3,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,3,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,1,6,8,7,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,8,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,6,3,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,4,1,3,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[8,7,4,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,4,6,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,4,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,2,6,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,6,3,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,6,8,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,4,7,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,8,6,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,8,4,6,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,6,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,3,8,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,2,8,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,7,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,5,8,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,2,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,6,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,6,4,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,6,8,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,3,8,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,5,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,4,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,8,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,5,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,5,8,6,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[5,3,8,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[3,8,5,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,6,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,3,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,7,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,3,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,3,6,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,8,2,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,1,7,2,4] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[7,5,4,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,8,4,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,7,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,6,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,6,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,7,5,8,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,3,8,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,4,8,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,4,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,8,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,6,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,4,6,8,5,7,1,3] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[2,4,6,8,7,1,3,5] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[2,4,6,8,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,5,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,6,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,3,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,4,8,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,5,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,2,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,8,4,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,7,8,6,1,3,5] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[3,7,8,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,4,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,2,4,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,2,6,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,6,3,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,7,8,5,1,3,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[5,7,6,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,4,8,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,2,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,7,8,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,7,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,8,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,6,8,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,7,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,7,5,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,8,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,1,2,6,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,3,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[4,3,1,2,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 50
[2,8,7,5,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,8,7,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,3,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,7,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,8,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,4,8,6,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[2,1,5,8,6,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,6,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,5,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,5,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,5,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,4,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,7,8,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,7,8,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,4,7,8,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,8,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,2,6,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,7,4,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,2,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,4,8,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[4,7,3,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,4,2,8,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,2,8,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,5,2,8,4,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,4,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,3,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,1,6,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,2,7,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,4,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,6,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,3,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,6,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,1,5,2,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,3,5,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,4,7,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,7,5,1,3,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[2,8,6,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,1,4,3,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[5,8,2,7,1,4,3,6] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,6,7,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,4,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,1,5,2,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,2,4,6,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,4,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,4,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,3,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,4,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,5,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,3,1,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,3,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,2,1,3,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,5,8,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,3,8,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,4,8,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,7,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,5,7,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,2,7,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,5,8,1,7,4,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,7,4,8,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,8,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,4,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,8,6,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,5,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,4,7,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,7,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,2,1,4,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,7,8,4,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,6,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,7,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,7,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,8,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,2,8,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,8,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,7,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,7,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,4,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,3,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,3,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,2,8,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,7,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,5,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,4,7,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,7,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,7,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,5,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,6,7,8,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,4,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,6,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,3,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,6,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,1,2,5,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[4,7,8,5,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,7,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,3,5,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,7,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,6,3,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,1,4,6,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,8,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,5,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,6,3,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[6,5,8,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,8,5,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,8,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,2,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[6,5,7,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,7,6,8,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,7,4,8,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,7,8,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,4,8,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,7,8,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,5,7,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,6,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,4,7,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,7,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,6,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,6,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,6,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,5,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,3,8,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,2,5,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,2,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,2,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,1,4,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,3,8,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,5,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,5,2,8,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,6,7,8,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,2,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,8,3,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,1,3,6,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,3,5,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,6,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,2,5,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,2,8,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,7,6,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,5,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,5,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,2,1,4,7] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[8,7,2,4,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,3,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,7,4,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,8,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,4,8,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,4,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,5,8,7,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,2,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,5,7,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,5,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,6,3,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,2,5,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,7,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,5,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,4,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,3,5,1,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,7,8,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,5,6,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,3,8,6,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,5,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,1,7,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,8,4,7,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,4,2,7,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,7,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,7,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,4,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,8,7,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,8,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,3,8,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,2,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,5,8,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,5,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,6,1,5,2,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,4,3,6,2,5,1,7] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,5,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,4,1,7,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,5,2,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,6,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,7,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,2,5,1,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,5,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,2,6,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,4,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,2,8,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,6,8,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,7,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,8,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,7,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,7,8,6,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,5,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,4,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,4,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,3,7,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,7,2,8,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,3,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,10),(1,12),(1,29),(2,7),(2,10),(2,11),(2,29),(3,7),(3,9),(3,12),(3,29),(4,8),(4,9),(4,11),(4,29),(6,5),(7,17),(7,19),(7,27),(8,18),(8,20),(8,28),(9,17),(9,18),(9,26),(10,19),(10,20),(10,27),(10,28),(11,17),(11,20),(11,26),(11,27),(12,18),(12,19),(12,26),(12,28),(13,14),(13,15),(14,6),(14,16),(15,6),(15,16),(16,5),(17,22),(17,23),(18,22),(18,24),(19,22),(19,23),(19,25),(20,22),(20,24),(20,25),(21,16),(22,21),(23,14),(23,21),(24,15),(24,21),(25,14),(25,15),(25,21),(26,13),(26,23),(26,24),(27,13),(27,23),(27,25),(28,13),(28,24),(28,25),(29,26),(29,27),(29,28)],30) => 496
[8,5,2,6,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,7,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,2,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,6,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,2,8,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,6,4,8,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,8,6,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,2,8,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,7,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,6,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,5,6,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,1,4,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,8,4,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,8,7,4,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,4,5,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,3,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,3,8,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,6,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,6,4,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,7,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,5,8,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,3,8,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,2,6,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,5,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,5,8,3,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,7,2,8,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,8,6,4,7,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[2,1,7,4,8,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[7,8,5,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,7,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,6,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,2,6,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,7,8,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,3,6,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,6,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,3,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,2,4,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,3,7,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,3,4,7,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,7,3,6,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,7,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,4,8,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,4,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[3,8,6,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,8,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,7,4,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,5,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,2,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,4,6,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,2,6,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,4,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[6,8,4,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,5,8,1,7,4,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,4,7,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,3,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,5,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,2,7,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,4,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,4,7,8,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,7,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,6,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,4,1,2,7,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,5,8,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,6,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,4,8,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,5,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,6,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[3,8,4,6,1,5,7,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[8,4,2,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,4,7,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,3,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,6,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,5,7,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,2,8,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,4,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,4,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,7,8,2,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,7,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,8,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,6,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,4,8,6,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,7,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,2,6,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,7,3,8,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[3,6,7,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,4,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,8,6,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,3,7,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,3,4,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[6,8,5,3,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,5,8,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,8,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,3,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,3,8,5,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,6,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,3,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,7,8,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,8,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,3,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,2,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[7,6,2,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,8,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,4,7,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,7,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,8,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,8,6,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,5,8,1,7,3,2] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[2,5,8,7,3,1,4,6] => [6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 162
[8,4,7,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,7,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,6,8,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,5,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,7,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,4,6,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,6,7,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,6,3,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,3,5,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,8,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,5,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,6,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,7,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,8,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,6,4,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,3,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,6,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,5,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,5,7,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,7,4,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,1,6,5,8,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[8,6,7,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,6,3,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 22
[4,8,3,6,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,4,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,4,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,3,7,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,2,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,6,3,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,3,6,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,5,8,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,3,6,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,8,7,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,6,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[4,8,2,7,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,2,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,4,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,6,2,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,7,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,7,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,4,7,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,2,6,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,2,8,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,4,7,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[5,8,7,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,6,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,7,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,5,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[7,4,5,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,3,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,2,6,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,8,5,7,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[2,5,7,8,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[8,7,4,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,6,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,5,8,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,4,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,7,3,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,2,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,7,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,4,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,7,3,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,4,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,4,8,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,4,6,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,5,4,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,5,8,2,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,6,2,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,6,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,8,7,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,6,8,7,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 40
[4,8,2,6,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,3,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[3,7,8,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[4,8,7,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,4,8,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,2,8,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,2,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[8,3,6,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,2,4,8,3,5,1,6] => [8,7,5,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,10),(1,13),(1,26),(2,9),(2,12),(2,25),(3,11),(3,15),(3,28),(4,11),(4,16),(4,28),(5,2),(5,15),(5,17),(5,28),(6,1),(6,16),(6,17),(6,28),(8,20),(8,21),(9,18),(9,29),(10,19),(10,29),(11,24),(12,8),(12,18),(12,23),(13,8),(13,19),(13,23),(14,7),(15,9),(15,24),(15,25),(16,10),(16,24),(16,26),(17,12),(17,13),(17,25),(17,26),(18,20),(18,27),(19,21),(19,27),(20,14),(20,22),(21,14),(21,22),(22,7),(23,20),(23,21),(23,27),(24,29),(25,18),(25,23),(25,29),(26,19),(26,23),(26,29),(27,22),(28,24),(28,25),(28,26),(29,27)],30) => 268
[5,8,6,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,2 8,0,8,2,6 36,0,0,16,0,6,6,0,2,6,10,2,0,2,0,18,0,10,0,0,0,0,0,0,0,0,0,0,0,6
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 8\ q^{3} + 2\ q^{4} + 6\ q^{5}$
$F_{5} = 36\ q + 16\ q^{4} + 6\ q^{6} + 6\ q^{7} + 2\ q^{9} + 6\ q^{10} + 10\ q^{11} + 2\ q^{12} + 2\ q^{14} + 18\ q^{16} + 10\ q^{18} + 6\ q^{30}$
Description
The number of maximal chains in a poset.
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
Map
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
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