Identifier
-
Mp00065:
Permutations
—permutation poset⟶
Posets
Mp00306: Posets —rowmotion cycle type⟶ Integer partitions
St001586: Integer partitions ⟶ ℤ
Values
[1] => ([],1) => [2] => 0
[1,2] => ([(0,1)],2) => [3] => 0
[2,1] => ([],2) => [2,2] => 0
[1,2,3] => ([(0,2),(2,1)],3) => [4] => 0
[1,3,2] => ([(0,1),(0,2)],3) => [3,2] => 0
[2,1,3] => ([(0,2),(1,2)],3) => [3,2] => 0
[2,3,1] => ([(1,2)],3) => [6] => 0
[3,1,2] => ([(1,2)],3) => [6] => 0
[3,2,1] => ([],3) => [2,2,2,2] => 0
[1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => [5] => 0
[1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => [4,2] => 0
[1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => [4,2] => 0
[1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => [7] => 0
[1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => [7] => 0
[1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => [3,2,2,2] => 0
[2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => [4,2] => 0
[2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => [3,2,2] => 0
[2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => [7] => 0
[2,3,4,1] => ([(1,2),(2,3)],4) => [4,4] => 0
[2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => [5,3] => 0
[2,4,3,1] => ([(1,2),(1,3)],4) => [6,2,2] => 0
[3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => [7] => 0
[3,1,4,2] => ([(0,3),(1,2),(1,3)],4) => [5,3] => 0
[3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => [3,2,2,2] => 0
[3,2,4,1] => ([(1,3),(2,3)],4) => [6,2,2] => 0
[3,4,1,2] => ([(0,3),(1,2)],4) => [3,3,3] => 0
[3,4,2,1] => ([(2,3)],4) => [6,6] => 0
[4,1,2,3] => ([(1,2),(2,3)],4) => [4,4] => 0
[4,1,3,2] => ([(1,2),(1,3)],4) => [6,2,2] => 0
[4,2,1,3] => ([(1,3),(2,3)],4) => [6,2,2] => 0
[4,2,3,1] => ([(2,3)],4) => [6,6] => 0
[4,3,1,2] => ([(2,3)],4) => [6,6] => 0
[4,3,2,1] => ([],4) => [2,2,2,2,2,2,2,2] => 0
[1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => [6] => 0
[1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => [5,2] => 0
[1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [5,2] => 0
[1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => [8] => 0
[1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => [8] => 0
[1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => [4,2,2,2] => 0
[1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [5,2] => 0
[1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [4,2,2] => 0
[1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [8] => 0
[1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => [5,4] => 0
[1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [5,4] => 0
[1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => [7,2,2] => 0
[1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [8] => 0
[1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [5,4] => 0
[1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [4,2,2,2] => 0
[1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [7,2,2] => 0
[1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => [4,3,3] => 2
[1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => [7,6] => 0
[1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => [5,4] => 0
[1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => [7,2,2] => 0
[1,5,3,2,4] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [7,2,2] => 0
[1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => [7,6] => 0
[1,5,4,2,3] => ([(0,2),(0,3),(0,4),(4,1)],5) => [7,6] => 0
[1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => [3,2,2,2,2,2,2,2] => 0
[2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => [5,2] => 0
[2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => [4,2,2] => 0
[2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [4,2,2] => 0
[2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [7,2] => 0
[2,1,5,3,4] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [7,2] => 0
[2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [3,2,2,2,2] => 0
[2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => [8] => 0
[2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [7,2] => 0
[2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => [5,4] => 0
[2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => [10] => 0
[2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => [10] => 0
[2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => [4,4,2,2] => 0
[2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [5,4] => 0
[2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [10] => 0
[2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [7,2,2] => 0
[2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5) => [4,4,2,2] => 0
[2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => [8,3] => 1
[2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => [14] => 0
[2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => [10] => 0
[2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [5,3,2,2] => 0
[2,5,3,1,4] => ([(0,4),(1,2),(1,3),(3,4)],5) => [10,2] => 0
[2,5,3,4,1] => ([(1,3),(1,4),(4,2)],5) => [14] => 0
[2,5,4,1,3] => ([(0,4),(1,2),(1,3),(1,4)],5) => [6,5,3] => 2
[3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => [8] => 0
[3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [7,2] => 0
[3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [5,4] => 0
[3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5) => [10] => 0
[3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [10] => 0
[3,1,5,4,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [5,3,2,2] => 0
[3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => [4,2,2,2] => 0
[3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2,2,2,2] => 0
[3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => [7,2,2] => 0
[3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => [4,4,2,2] => 0
[3,2,5,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5,3,2,2] => 0
[3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => [6,2,2,2,2] => 0
[3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => [4,3,3] => 2
[3,4,1,5,2] => ([(0,3),(1,2),(1,4),(3,4)],5) => [8,3] => 1
[3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => [7,6] => 0
[3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => [14] => 0
[3,4,5,1,2] => ([(0,3),(1,4),(4,2)],5) => [12] => 0
[3,4,5,2,1] => ([(2,3),(3,4)],5) => [4,4,4,4] => 0
[3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => [8,3] => 1
[3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => [8,3,2] => 1
[3,5,2,1,4] => ([(0,4),(1,4),(2,3),(2,4)],5) => [6,5,3] => 2
>>> Load all 1551 entries. <<<[3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5) => [10,6] => 0
[3,5,4,1,2] => ([(0,4),(1,2),(1,3)],5) => [6,3,3,3] => 3
[4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => [5,4] => 0
[4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => [10] => 0
[4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [7,2,2] => 0
[4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => [10,2] => 0
[4,1,5,2,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => [8,3] => 1
[4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5) => [6,5,3] => 2
[4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => [7,2,2] => 0
[4,2,1,5,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5,3,2,2] => 0
[4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => [7,6] => 0
[4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5) => [14] => 0
[4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => [8,3,2] => 1
[4,2,5,3,1] => ([(1,4),(2,3),(2,4)],5) => [10,6] => 0
[4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => [7,6] => 0
[4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5) => [6,5,3] => 2
[4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => [3,2,2,2,2,2,2,2] => 0
[4,3,5,1,2] => ([(0,4),(1,4),(2,3)],5) => [6,3,3,3] => 3
[4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5) => [12] => 0
[4,5,1,3,2] => ([(0,4),(1,2),(1,3)],5) => [6,3,3,3] => 3
[4,5,2,1,3] => ([(0,4),(1,4),(2,3)],5) => [6,3,3,3] => 3
[5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5) => [10] => 0
[5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5) => [4,4,2,2] => 0
[5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5) => [4,4,2,2] => 0
[5,1,3,4,2] => ([(1,3),(1,4),(4,2)],5) => [14] => 0
[5,1,4,2,3] => ([(1,3),(1,4),(4,2)],5) => [14] => 0
[5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5) => [4,4,2,2] => 0
[5,2,1,4,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => [6,2,2,2,2] => 0
[5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5) => [14] => 0
[5,2,3,4,1] => ([(2,3),(3,4)],5) => [4,4,4,4] => 0
[5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5) => [10,6] => 0
[5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5) => [14] => 0
[5,3,1,4,2] => ([(1,4),(2,3),(2,4)],5) => [10,6] => 0
[5,4,1,2,3] => ([(2,3),(3,4)],5) => [4,4,4,4] => 0
[1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [7] => 0
[1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [6,2] => 0
[1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [6,2] => 0
[1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [9] => 0
[1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [9] => 0
[1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [5,2,2,2] => 0
[1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [6,2] => 0
[1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [5,2,2] => 0
[1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [9] => 0
[1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [6,4] => 0
[1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [5,5] => 0
[1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8,2,2] => 0
[1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [9] => 0
[1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [5,5] => 0
[1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [5,2,2,2] => 0
[1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8,2,2] => 0
[1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [5,3,3] => 0
[1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [8,6] => 0
[1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [6,4] => 0
[1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8,2,2] => 0
[1,2,6,4,3,5] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8,2,2] => 0
[1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [8,6] => 0
[1,2,6,5,3,4] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [8,6] => 0
[1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [6,2] => 0
[1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [5,2,2] => 0
[1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [5,2,2] => 0
[1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [8,2] => 0
[1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [8,2] => 0
[1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [4,2,2,2,2] => 0
[1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [9] => 0
[1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [8,2] => 0
[1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [6,4] => 0
[1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [11] => 0
[1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [11] => 0
[1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,4,2,2] => 0
[1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [5,5] => 0
[1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [11] => 0
[1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8,2,2] => 0
[1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,4,2,2] => 0
[1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [9,3] => 0
[1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [15] => 0
[1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [11] => 0
[1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [5,4,2,2] => 0
[1,3,6,4,2,5] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [11,2] => 0
[1,3,6,4,5,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [15] => 0
[1,3,6,5,2,4] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [6,5,4] => 1
[1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [9] => 0
[1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [8,2] => 0
[1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [5,5] => 0
[1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [11] => 0
[1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [11] => 0
[1,4,2,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [5,4,2,2] => 0
[1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [5,2,2,2] => 0
[1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2,2,2,2] => 0
[1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8,2,2] => 0
[1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,4,2,2] => 0
[1,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,4,2,2] => 0
[1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2,2] => 0
[1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [5,3,3] => 0
[1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [9,3] => 0
[1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [8,6] => 0
[1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [15] => 0
[1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [13] => 0
[1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [5,4,4,4] => 0
[1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [9,3] => 0
[1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => [8,4,2] => 0
[1,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [6,5,4] => 1
[1,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [10,7] => 1
[1,4,6,5,2,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => [6,4,3,3] => 2
[1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [6,4] => 0
[1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [11] => 0
[1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8,2,2] => 0
[1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [11,2] => 0
[1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [9,3] => 0
[1,5,2,6,4,3] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [6,5,4] => 1
[1,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8,2,2] => 0
[1,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,4,2,2] => 0
[1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [8,6] => 0
[1,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [15] => 0
[1,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => [8,4,2] => 0
[1,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [10,7] => 1
[1,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [8,6] => 0
[1,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [6,5,4] => 1
[1,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => [6,4,3,3] => 2
[1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [13] => 0
[1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => [6,4,3,3] => 2
[1,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => [6,4,3,3] => 2
[1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [11] => 0
[1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,4,2,2] => 0
[1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,4,2,2] => 0
[1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [15] => 0
[1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [15] => 0
[1,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,4,2,2] => 0
[1,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2,2] => 0
[1,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [15] => 0
[1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [5,4,4,4] => 0
[1,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [10,7] => 1
[1,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [15] => 0
[1,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [10,7] => 1
[1,6,5,2,3,4] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [5,4,4,4] => 0
[2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => 0
[2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [5,2,2] => 0
[2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,2,2] => 0
[2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [8,2] => 0
[2,1,3,6,4,5] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [8,2] => 0
[2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [4,2,2,2,2] => 0
[2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [5,2,2] => 0
[2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [4,2,2,2] => 0
[2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [8,2] => 0
[2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [5,4,2] => 0
[2,1,4,6,3,5] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [5,4,2] => 0
[2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [7,2,2,2] => 0
[2,1,5,3,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [8,2] => 0
[2,1,5,3,6,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [5,4,2] => 0
[2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [4,2,2,2,2] => 0
[2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [7,2,2,2] => 0
[2,1,5,6,3,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,3,3,2] => 2
[2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [7,6,2] => 0
[2,1,6,3,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [5,4,2] => 0
[2,1,6,3,5,4] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [7,2,2,2] => 0
[2,1,6,4,3,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [7,2,2,2] => 0
[2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [7,6,2] => 0
[2,1,6,5,3,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [7,6,2] => 0
[2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [9] => 0
[2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [8,2] => 0
[2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [8,2] => 0
[2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [11] => 0
[2,3,1,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [11] => 0
[2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [7,2,2,2] => 0
[2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [6,4] => 0
[2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [5,4,2] => 0
[2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [11] => 0
[2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => [6,6] => 0
[2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [7,5] => 0
[2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => [10,2,2] => 0
[2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [11] => 0
[2,3,5,1,6,4] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [7,5] => 0
[2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,4,2,2] => 0
[2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [10,2,2] => 0
[2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [5,5,3] => 0
[2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => [8,8] => 0
[2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [6,6] => 0
[2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => [10,2,2] => 0
[2,3,6,4,1,5] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => [8,4,2] => 0
[2,3,6,4,5,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => [8,8] => 0
[2,3,6,5,1,4] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => [10,6] => 0
[2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [5,5] => 0
[2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [5,4,2] => 0
[2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [11] => 0
[2,4,1,5,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [7,5] => 0
[2,4,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => [8,4] => 0
[2,4,1,6,5,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => [10,2,2] => 0
[2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8,2,2] => 0
[2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => 0
[2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,4,2,2] => 0
[2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [10,2,2] => 0
[2,4,3,6,1,5] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [10,2,2] => 0
[2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2,2,2] => 0
[2,4,5,1,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [9,3] => 0
[2,4,5,1,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => [13] => 0
[2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [15] => 0
[2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [8,8] => 0
[2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [9,5] => 0
[2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [6,4,3] => 1
[2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => [13,2] => 0
[2,4,6,3,1,5] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [11,5] => 0
[2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => [8,6,3] => 1
[2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [11] => 0
[2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => [8,4] => 0
[2,5,1,4,3,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [5,4,2,2] => 0
[2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => [7,5,2] => 0
[2,5,1,6,3,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => [6,4,3] => 1
[2,5,1,6,4,3] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => [10,6] => 0
[2,5,3,1,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [11,2] => 0
[2,5,3,1,6,4] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [7,5,2] => 0
[2,5,3,4,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [15] => 0
[2,5,3,4,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [8,8] => 0
[2,5,3,6,1,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [13,2] => 0
[2,5,4,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,5,4] => 1
[2,5,4,1,6,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [10,6] => 0
[2,5,4,6,1,3] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [8,6,3] => 1
[2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => [10,4] => 0
[2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => [8,6,3] => 1
[2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [11,3,3] => 0
[2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [7,5] => 0
[2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => [10,2,2] => 0
[2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => [10,2,2] => 0
[2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [9,7] => 0
[2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [9,7] => 0
[2,6,3,1,4,5] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => [8,4,2] => 0
[2,6,3,1,5,4] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => [10,2,2,2] => 0
[2,6,3,4,1,5] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => [11,5] => 0
[2,6,4,1,3,5] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [11,5] => 0
[3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [9] => 0
[3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [8,2] => 0
[3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [8,2] => 0
[3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [11] => 0
[3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [11] => 0
[3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [7,2,2,2] => 0
[3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [5,5] => 0
[3,1,4,2,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [5,4,2] => 0
[3,1,4,5,2,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [11] => 0
[3,1,4,5,6,2] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [7,5] => 0
[3,1,4,6,2,5] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => [8,4] => 0
[3,1,4,6,5,2] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => [10,2,2] => 0
[3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [11] => 0
[3,1,5,2,6,4] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => [8,4] => 0
[3,1,5,4,2,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [5,4,2,2] => 0
[3,1,5,4,6,2] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => [10,2,2] => 0
[3,1,5,6,2,4] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => [6,4,3] => 1
[3,1,5,6,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [9,7] => 0
[3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [7,5] => 0
[3,1,6,2,5,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => [10,2,2] => 0
[3,1,6,4,2,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => [7,5,2] => 0
[3,1,6,4,5,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [9,7] => 0
[3,1,6,5,2,4] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => [10,6] => 0
[3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [5,2,2,2] => 0
[3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [4,2,2,2,2] => 0
[3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [4,2,2,2,2] => 0
[3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [7,2,2,2] => 0
[3,2,1,6,4,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [7,2,2,2] => 0
[3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,2,2,2,2,2] => 0
[3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8,2,2] => 0
[3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => 0
[3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,4,2,2] => 0
[3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => [10,2,2] => 0
[3,2,4,6,1,5] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => [10,2,2] => 0
[3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => [4,4,2,2,2,2] => 0
[3,2,5,1,4,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [5,4,2,2] => 0
[3,2,5,1,6,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => [10,2,2] => 0
[3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7,2,2,2,2] => 0
[3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [4,4,2,2,2,2] => 0
[3,2,5,6,1,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => [8,3,2,2] => 1
[3,2,6,1,4,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [10,2,2] => 0
[3,2,6,1,5,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [5,3,2,2,2,2] => 0
[3,2,6,4,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => [10,2,2,2] => 0
[3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [5,3,3] => 0
[3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,3,3,2] => 2
[3,4,1,5,2,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [9,3] => 0
[3,4,1,5,6,2] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [5,5,3] => 0
[3,4,1,6,2,5] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => [6,4,3] => 1
[3,4,1,6,5,2] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => [8,3,2,2] => 1
[3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [8,6] => 0
[3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [7,6,2] => 0
[3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [15] => 0
[3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => [8,8] => 0
[3,4,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [9,7] => 0
[3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [13] => 0
[3,4,5,1,6,2] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [9,5] => 0
[3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5,4,4,4] => 0
[3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => [15] => 0
[3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => [10,4] => 0
[3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => [8,6,2] => 0
[3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [9,3] => 0
[3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => [6,4,3] => 1
[3,5,1,4,2,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => [8,4,2] => 0
[3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [13,2] => 0
[3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => [10,4] => 0
[3,5,1,6,4,2] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => [17] => 0
[3,5,2,1,4,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [6,5,4] => 1
[3,5,2,1,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [10,6] => 0
[3,5,2,4,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,7] => 1
[3,5,2,6,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [17] => 0
[3,5,4,1,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6,4,3,3] => 2
[3,5,4,1,6,2] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => [8,6,3] => 1
[3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [7,4,4] => 0
[3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [5,5,3] => 0
[3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => [8,3,2,2] => 1
[3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [13,2] => 0
[3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => [7,5,5] => 0
[3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => [17] => 0
[3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => [10,6] => 0
[3,6,4,1,2,5] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [11,3,3] => 0
[4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [6,4] => 0
[4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [5,4,2] => 0
[4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [11] => 0
[4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [6,6] => 0
[4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [7,5] => 0
[4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => [10,2,2] => 0
[4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8,2,2] => 0
[4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => 0
[4,1,3,5,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [11,2] => 0
[4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => [8,4,2] => 0
[4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [7,5,2] => 0
[4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => [10,2,2,2] => 0
[4,1,5,2,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [9,3] => 0
[4,1,5,2,6,3] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [6,4,3] => 1
[4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,5,4] => 1
[4,1,5,3,6,2] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [11,5] => 0
[4,1,5,6,2,3] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => [10,4] => 0
[4,1,6,2,3,5] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => [13] => 0
[4,1,6,2,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => [13,2] => 0
[4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [10,6] => 0
[4,1,6,5,2,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => [8,6,3] => 1
[4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8,2,2] => 0
[4,2,1,3,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [7,2,2,2] => 0
[4,2,1,5,3,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [5,4,2,2] => 0
[4,2,1,5,6,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [10,2,2] => 0
[4,2,1,6,3,5] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => [10,2,2] => 0
[4,2,1,6,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [5,3,2,2,2,2] => 0
[4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [8,6] => 0
[4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [7,6,2] => 0
[4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [15] => 0
[4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => [8,8] => 0
[4,2,3,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [9,7] => 0
[4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [8,4,2] => 0
[4,2,5,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => [13,2] => 0
[4,2,5,3,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,7] => 1
[4,2,5,6,1,3] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => [8,6,2] => 0
[4,2,6,1,3,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => [13,2] => 0
[4,2,6,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => [5,5,3,2,2] => 0
[4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [8,6] => 0
[4,3,1,2,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [7,6,2] => 0
[4,3,1,5,2,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [6,5,4] => 1
[4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => [10,6] => 0
[4,3,1,6,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [10,6] => 0
[4,3,5,1,2,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => [6,4,3,3] => 2
[4,3,5,1,6,2] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => [8,6,3] => 1
[4,3,6,1,2,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => [8,6,3] => 1
[4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [13] => 0
[4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => [10,4] => 0
[4,5,1,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6,4,3,3] => 2
[4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [11,3,3] => 0
[4,5,1,6,2,3] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [7,4,4] => 0
[4,5,2,1,3,6] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => [6,4,3,3] => 2
[4,5,2,1,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => [8,6,3] => 1
[4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => [4,4,4,4] => 0
[4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [9,5] => 0
[4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => [8,6,2] => 0
[4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => [8,6,3] => 1
[4,6,2,1,3,5] => ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => [8,6,3] => 1
[5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [11] => 0
[5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [7,5] => 0
[5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,4,2,2] => 0
[5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => [8,4,2] => 0
[5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [5,5,3] => 0
[5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => [10,6] => 0
[5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,4,2,2] => 0
[5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [10,2,2] => 0
[5,1,3,4,2,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [15] => 0
[5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => [11,5] => 0
[5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [13,2] => 0
[5,1,4,2,3,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [15] => 0
[5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [11,5] => 0
[5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [11,3,3] => 0
[5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [9,5] => 0
[5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => [8,6,3] => 1
[5,1,6,3,2,4] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [8,6,3] => 1
[5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,4,2,2] => 0
[5,2,1,3,6,4] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => [10,2,2] => 0
[5,2,1,4,3,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [7,2,2,2,2] => 0
[5,2,1,4,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => [10,2,2,2] => 0
[5,2,1,6,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => [8,3,2,2] => 1
[5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [15] => 0
[5,2,3,1,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [9,7] => 0
[5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5,4,4,4] => 0
[5,2,3,6,1,4] => ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => [7,5,5] => 0
[5,2,4,1,3,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,7] => 1
[5,2,6,1,3,4] => ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => [8,6,2] => 0
[5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [15] => 0
[5,3,1,2,6,4] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [9,7] => 0
[5,3,1,4,2,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [10,7] => 1
[5,3,1,6,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [17] => 0
[5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5,4,4,4] => 0
[5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => [15] => 0
[6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6) => [6,6] => 0
[6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6) => [10,2,2] => 0
[6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [10,2,2] => 0
[6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6) => [8,8] => 0
[6,1,2,5,3,4] => ([(1,5),(4,3),(5,2),(5,4)],6) => [8,8] => 0
[6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [10,2,2] => 0
[6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2,2,2] => 0
[6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [8,8] => 0
[6,1,4,2,3,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [8,8] => 0
[6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6) => [10,2,2] => 0
[6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6) => [4,4,2,2,2,2] => 0
[6,2,1,4,3,5] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [4,4,2,2,2,2] => 0
[6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => [8,8] => 0
[6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6) => [8,8] => 0
[1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [8] => 0
[1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [7,2] => 0
[1,2,3,4,6,5,7] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [7,2] => 0
[1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [10] => 0
[1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [10] => 0
[1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [6,2,2,2] => 0
[1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [7,2] => 0
[1,2,3,5,4,7,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [6,2,2] => 0
[1,2,3,5,6,4,7] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [10] => 0
[1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [7,4] => 0
[1,2,3,5,7,4,6] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [6,5] => 1
[1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [9,2,2] => 0
[1,2,3,6,4,5,7] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [10] => 0
[1,2,3,6,4,7,5] => ([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [6,5] => 1
[1,2,3,6,5,4,7] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [6,2,2,2] => 0
[1,2,3,6,5,7,4] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [9,2,2] => 0
[1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [6,3,3] => 2
[1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [9,6] => 0
[1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [7,4] => 0
[1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [9,2,2] => 0
[1,2,3,7,5,4,6] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [9,2,2] => 0
[1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [9,6] => 0
[1,2,3,7,6,4,5] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [9,6] => 0
[1,2,4,3,5,6,7] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [7,2] => 0
[1,2,4,3,5,7,6] => ([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [6,2,2] => 0
[1,2,4,3,6,5,7] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [6,2,2] => 0
[1,2,4,3,6,7,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [9,2] => 0
[1,2,4,3,7,5,6] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [9,2] => 0
[1,2,4,3,7,6,5] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [5,2,2,2,2] => 0
[1,2,4,5,3,6,7] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [10] => 0
[1,2,4,5,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [9,2] => 0
[1,2,4,5,6,3,7] => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [7,4] => 0
[1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [12] => 0
[1,2,4,5,7,3,6] => ([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [12] => 0
[1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [6,4,2,2] => 0
[1,2,4,6,3,5,7] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [6,5] => 1
[1,2,4,6,3,7,5] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [12] => 0
[1,2,4,6,5,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [9,2,2] => 0
[1,2,4,6,5,7,3] => ([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [6,4,2,2] => 0
[1,2,4,6,7,3,5] => ([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [10,3] => 1
[1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [16] => 0
[1,2,4,7,3,5,6] => ([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [12] => 0
[1,2,4,7,3,6,5] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,2,2] => 0
[1,2,4,7,5,3,6] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [12,2] => 0
[1,2,4,7,5,6,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [16] => 0
[1,2,4,7,6,3,5] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => [6,5,5] => 2
[1,2,5,3,4,6,7] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [10] => 0
[1,2,5,3,4,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [9,2] => 0
[1,2,5,3,6,4,7] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [6,5] => 1
[1,2,5,3,6,7,4] => ([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [12] => 0
[1,2,5,3,7,4,6] => ([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [12] => 0
[1,2,5,3,7,6,4] => ([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,2,2] => 0
[1,2,5,4,3,6,7] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [6,2,2,2] => 0
[1,2,5,4,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,2,2,2,2] => 0
[1,2,5,4,6,3,7] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [9,2,2] => 0
[1,2,5,4,6,7,3] => ([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => 0
[1,2,5,4,7,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,5,2,2] => 0
[1,2,5,4,7,6,3] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [8,2,2,2,2] => 0
[1,2,5,6,3,4,7] => ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [6,3,3] => 2
[1,2,5,6,3,7,4] => ([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [10,3] => 1
[1,2,5,6,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [9,6] => 0
[1,2,5,6,4,7,3] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [16] => 0
[1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [14] => 0
[1,2,5,7,3,4,6] => ([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [10,3] => 1
[1,2,5,7,3,6,4] => ([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => [8,5,2] => 1
[1,2,5,7,4,3,6] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => [6,5,5] => 2
[1,2,5,7,6,3,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => [6,5,3,3] => 3
[1,2,6,3,4,5,7] => ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [7,4] => 0
[1,2,6,3,4,7,5] => ([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [12] => 0
[1,2,6,3,5,4,7] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [9,2,2] => 0
[1,2,6,3,5,7,4] => ([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [12,2] => 0
[1,2,6,3,7,4,5] => ([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [10,3] => 1
[1,2,6,3,7,5,4] => ([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => [6,5,5] => 2
[1,2,6,4,3,5,7] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [9,2,2] => 0
[1,2,6,4,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [5,5,2,2] => 0
[1,2,6,4,5,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [9,6] => 0
[1,2,6,4,5,7,3] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [16] => 0
[1,2,6,4,7,3,5] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [8,5,2] => 1
[1,2,6,5,3,4,7] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [9,6] => 0
[1,2,6,5,3,7,4] => ([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => [6,5,5] => 2
[1,2,6,5,7,3,4] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => [6,5,3,3] => 3
[1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [14] => 0
[1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => [6,5,3,3] => 3
[1,2,6,7,4,3,5] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => [6,5,3,3] => 3
[1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [12] => 0
[1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [6,4,2,2] => 0
[1,2,7,3,5,4,6] => ([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [6,4,2,2] => 0
[1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [16] => 0
[1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [16] => 0
[1,2,7,4,3,5,6] => ([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => 0
[1,2,7,4,3,6,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [8,2,2,2,2] => 0
[1,2,7,4,5,3,6] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [16] => 0
[1,2,7,5,3,4,6] => ([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [16] => 0
[1,3,2,4,5,6,7] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [7,2] => 0
[1,3,2,4,5,7,6] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [6,2,2] => 0
[1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [6,2,2] => 0
[1,3,2,4,6,7,5] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [9,2] => 0
[1,3,2,4,7,5,6] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [9,2] => 0
[1,3,2,4,7,6,5] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [5,2,2,2,2] => 0
[1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [6,2,2] => 0
[1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => 0
[1,3,2,5,6,4,7] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [9,2] => 0
[1,3,2,5,6,7,4] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [6,4,2] => 0
[1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [5,5,2] => 0
[1,3,2,5,7,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [8,2,2,2] => 0
[1,3,2,6,4,5,7] => ([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [9,2] => 0
[1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [5,5,2] => 0
[1,3,2,6,5,4,7] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,2,2,2,2] => 0
[1,3,2,6,5,7,4] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [8,2,2,2] => 0
[1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [5,3,3,2] => 0
[1,3,2,6,7,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [8,6,2] => 0
[1,3,2,7,4,5,6] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [6,4,2] => 0
[1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [8,2,2,2] => 0
[1,3,2,7,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [8,2,2,2] => 0
[1,3,2,7,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [8,6,2] => 0
[1,3,2,7,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [8,6,2] => 0
[1,3,4,2,5,6,7] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [10] => 0
[1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [9,2] => 0
[1,3,4,2,6,5,7] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [9,2] => 0
[1,3,4,2,6,7,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [12] => 0
[1,3,4,2,7,5,6] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [12] => 0
[1,3,4,2,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [8,2,2,2] => 0
[1,3,4,5,2,6,7] => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [7,4] => 0
[1,3,4,5,2,7,6] => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [6,4,2] => 0
[1,3,4,5,6,2,7] => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [12] => 0
[1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [7,6] => 0
[1,3,4,5,7,2,6] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [7,6] => 0
[1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => [11,2,2] => 0
[1,3,4,6,2,5,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [12] => 0
[1,3,4,6,2,7,5] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [7,6] => 0
[1,3,4,6,5,2,7] => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [6,4,2,2] => 0
[1,3,4,6,5,7,2] => ([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => [11,2,2] => 0
[1,3,4,6,7,2,5] => ([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => [6,5,3] => 2
[1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [9,8] => 0
[1,3,4,7,2,5,6] => ([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [7,6] => 0
[1,3,4,7,2,6,5] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => [11,2,2] => 0
[1,3,4,7,5,2,6] => ([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [9,4,2] => 0
[1,3,4,7,5,6,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [9,8] => 0
[1,3,4,7,6,2,5] => ([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => [11,6] => 0
[1,3,5,2,4,6,7] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [6,5] => 1
[1,3,5,2,4,7,6] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [5,5,2] => 0
[1,3,5,2,6,4,7] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [12] => 0
[1,3,5,2,6,7,4] => ([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [7,6] => 0
[1,3,5,2,7,4,6] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => [8,5] => 1
[1,3,5,2,7,6,4] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => [11,2,2] => 0
[1,3,5,4,2,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,2,2] => 0
[1,3,5,4,2,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,2,2,2] => 0
[1,3,5,4,6,2,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [6,4,2,2] => 0
[1,3,5,4,6,7,2] => ([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => [11,2,2] => 0
[1,3,5,4,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [11,2,2] => 0
[1,3,5,4,7,6,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => [5,4,2,2,2,2] => 0
[1,3,5,6,2,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [10,3] => 1
[1,3,5,6,2,7,4] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => [14] => 0
[1,3,5,6,4,2,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [16] => 0
[1,3,5,6,4,7,2] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [9,8] => 0
[1,3,5,6,7,2,4] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [10,5] => 1
[1,3,5,7,2,4,6] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [6,5,3] => 2
[1,3,5,7,2,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => [14,2] => 0
[1,3,5,7,4,2,6] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => [12,5] => 1
[1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [12] => 0
[1,3,6,2,4,7,5] => ([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => [8,5] => 1
[1,3,6,2,5,4,7] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [5,5,2,2] => 0
[1,3,6,2,5,7,4] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => [8,5,2] => 1
[1,3,6,2,7,4,5] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => [6,5,3] => 2
[1,3,6,2,7,5,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => [11,6] => 0
[1,3,6,4,2,5,7] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [12,2] => 0
[1,3,6,4,2,7,5] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,5,2] => 1
[1,3,6,4,5,2,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [16] => 0
[1,3,6,4,5,7,2] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [9,8] => 0
[1,3,6,4,7,2,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [14,2] => 0
[1,3,6,5,2,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [6,5,5] => 2
[1,3,6,5,2,7,4] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => [11,6] => 0
[1,3,6,7,2,4,5] => ([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => [10,5] => 1
[1,3,7,2,4,5,6] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [7,6] => 0
[1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => [11,2,2] => 0
[1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2] => 0
[1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [9,8] => 0
[1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [9,8] => 0
[1,3,7,4,2,5,6] => ([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,4,2] => 0
[1,3,7,4,2,6,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [11,2,2,2] => 0
[1,3,7,4,5,2,6] => ([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [11,6] => 0
[1,3,7,5,2,4,6] => ([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [12,5] => 1
[1,4,2,3,5,6,7] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [10] => 0
[1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [9,2] => 0
[1,4,2,3,6,5,7] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [9,2] => 0
[1,4,2,3,6,7,5] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [12] => 0
[1,4,2,3,7,5,6] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [12] => 0
[1,4,2,3,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [8,2,2,2] => 0
[1,4,2,5,3,6,7] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [6,5] => 1
[1,4,2,5,3,7,6] => ([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [5,5,2] => 0
[1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [12] => 0
[1,4,2,5,6,7,3] => ([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [7,6] => 0
[1,4,2,5,7,3,6] => ([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => [8,5] => 1
[1,4,2,5,7,6,3] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => [11,2,2] => 0
[1,4,2,6,3,5,7] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [12] => 0
[1,4,2,6,3,7,5] => ([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => [8,5] => 1
[1,4,2,6,5,3,7] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [5,5,2,2] => 0
[1,4,2,6,5,7,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2] => 0
[1,4,2,6,7,3,5] => ([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => [6,5,3] => 2
[1,4,2,6,7,5,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [9,8] => 0
[1,4,2,7,3,5,6] => ([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [7,6] => 0
[1,4,2,7,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => [11,2,2] => 0
[1,4,2,7,5,3,6] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => [8,5,2] => 1
[1,4,2,7,5,6,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [9,8] => 0
[1,4,2,7,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => [11,6] => 0
[1,4,3,2,5,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [6,2,2,2] => 0
[1,4,3,2,5,7,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [5,2,2,2,2] => 0
[1,4,3,2,6,5,7] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,2,2,2,2] => 0
[1,4,3,2,6,7,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [8,2,2,2] => 0
[1,4,3,2,7,5,6] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [8,2,2,2] => 0
[1,4,3,2,7,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,2,2,2,2,2,2] => 0
[1,4,3,5,2,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [9,2,2] => 0
[1,4,3,5,2,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8,2,2,2] => 0
[1,4,3,5,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [6,4,2,2] => 0
[1,4,3,5,6,7,2] => ([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => [11,2,2] => 0
[1,4,3,5,7,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => [11,2,2] => 0
[1,4,3,5,7,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => [5,4,2,2,2,2] => 0
[1,4,3,6,2,5,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [5,5,2,2] => 0
[1,4,3,6,2,7,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [11,2,2] => 0
[1,4,3,6,5,2,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8,2,2,2,2] => 0
[1,4,3,6,5,7,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[1,4,3,6,7,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => [9,3,2,2] => 0
[1,4,3,7,2,5,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [11,2,2] => 0
[1,4,3,7,2,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2,2] => 0
[1,4,3,7,5,2,6] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [11,2,2,2] => 0
[1,4,5,2,3,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [6,3,3] => 2
[1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [5,3,3,2] => 0
[1,4,5,2,6,3,7] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [10,3] => 1
[1,4,5,2,6,7,3] => ([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => [6,5,3] => 2
[1,4,5,2,7,3,6] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => [6,5,3] => 2
[1,4,5,2,7,6,3] => ([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => [9,3,2,2] => 0
[1,4,5,3,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [9,6] => 0
[1,4,5,3,2,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [8,6,2] => 0
[1,4,5,3,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [16] => 0
[1,4,5,3,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [9,8] => 0
[1,4,5,3,7,2,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [9,8] => 0
[1,4,5,6,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [14] => 0
[1,4,5,6,2,7,3] => ([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => [10,5] => 1
[1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [16] => 0
[1,4,5,7,2,3,6] => ([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => [10,5] => 1
[1,4,5,7,2,6,3] => ([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => [9,6,2] => 0
[1,4,6,2,3,5,7] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [10,3] => 1
[1,4,6,2,3,7,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => [6,5,3] => 2
[1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => [8,5,2] => 1
[1,4,6,2,5,7,3] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [14,2] => 0
[1,4,6,2,7,3,5] => ([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => [10,5] => 1
[1,4,6,3,2,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => [6,5,5] => 2
[1,4,6,3,2,7,5] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [11,6] => 0
[1,4,6,5,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [6,5,3,3] => 3
[1,4,6,7,2,3,5] => ([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => [7,5,4] => 0
[1,4,7,2,3,5,6] => ([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => [6,5,3] => 2
[1,4,7,2,3,6,5] => ([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => [9,3,2,2] => 0
[1,4,7,2,5,3,6] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [14,2] => 0
[1,4,7,3,2,5,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => [11,6] => 0
[1,5,2,3,4,6,7] => ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [7,4] => 0
[1,5,2,3,4,7,6] => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [6,4,2] => 0
[1,5,2,3,6,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [12] => 0
[1,5,2,3,6,7,4] => ([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [7,6] => 0
[1,5,2,3,7,4,6] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [7,6] => 0
[1,5,2,3,7,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => [11,2,2] => 0
[1,5,2,4,3,6,7] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,2,2] => 0
[1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,2,2,2] => 0
[1,5,2,4,6,3,7] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [12,2] => 0
[1,5,2,4,6,7,3] => ([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [9,4,2] => 0
[1,5,2,4,7,3,6] => ([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,5,2] => 1
[1,5,2,4,7,6,3] => ([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [11,2,2,2] => 0
[1,5,2,6,3,4,7] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [10,3] => 1
[1,5,2,6,3,7,4] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [6,5,3] => 2
[1,5,2,6,4,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [6,5,5] => 2
[1,5,2,6,4,7,3] => ([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [12,5] => 1
[1,5,2,6,7,3,4] => ([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => [10,5] => 1
[1,5,2,7,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => [14] => 0
[1,5,2,7,3,6,4] => ([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => [14,2] => 0
[1,5,2,7,4,3,6] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => [11,6] => 0
[1,5,3,2,4,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [9,2,2] => 0
[1,5,3,2,4,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8,2,2,2] => 0
[1,5,3,2,6,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [5,5,2,2] => 0
[1,5,3,2,6,7,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [11,2,2] => 0
[1,5,3,2,7,4,6] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [11,2,2] => 0
[1,5,3,2,7,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2,2] => 0
[1,5,3,4,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [9,6] => 0
[1,5,3,4,2,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [8,6,2] => 0
[1,5,3,4,6,2,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [16] => 0
[1,5,3,4,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [9,8] => 0
[1,5,3,4,7,2,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [9,8] => 0
[1,5,3,6,2,4,7] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [8,5,2] => 1
[1,5,3,6,2,7,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [14,2] => 0
[1,5,3,6,7,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => [9,6,2] => 0
[1,5,3,7,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [14,2] => 0
[1,5,4,2,3,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [9,6] => 0
[1,5,4,2,3,7,6] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [8,6,2] => 0
[1,5,4,2,6,3,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => [6,5,5] => 2
[1,5,4,2,6,7,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => [11,6] => 0
[1,5,4,2,7,3,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [11,6] => 0
[1,5,4,6,2,3,7] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => [6,5,3,3] => 3
[1,5,6,2,3,4,7] => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [14] => 0
[1,5,6,2,3,7,4] => ([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => [10,5] => 1
[1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [6,5,3,3] => 3
[1,5,6,2,7,3,4] => ([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => [7,5,4] => 0
[1,5,6,3,2,4,7] => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => [6,5,3,3] => 3
[1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => [5,4,4,4] => 0
[1,5,7,2,3,4,6] => ([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => [10,5] => 1
[1,5,7,2,3,6,4] => ([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => [9,6,2] => 0
[1,6,2,3,4,5,7] => ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [12] => 0
[1,6,2,3,4,7,5] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [7,6] => 0
[1,6,2,3,5,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [6,4,2,2] => 0
[1,6,2,3,5,7,4] => ([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [9,4,2] => 0
[1,6,2,3,7,4,5] => ([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => [6,5,3] => 2
[1,6,2,3,7,5,4] => ([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => [11,6] => 0
[1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [6,4,2,2] => 0
[1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [11,2,2] => 0
[1,6,2,4,5,3,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [16] => 0
[1,6,2,4,5,7,3] => ([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [11,6] => 0
[1,6,2,4,7,3,5] => ([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [14,2] => 0
[1,6,2,5,3,4,7] => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [16] => 0
[1,6,2,5,3,7,4] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => [12,5] => 1
[1,6,2,7,3,4,5] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [10,5] => 1
[1,6,3,2,4,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [6,4,2,2] => 0
[1,6,3,2,4,7,5] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => [11,2,2] => 0
[1,6,3,2,5,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [8,2,2,2,2] => 0
[1,6,3,2,5,7,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [11,2,2,2] => 0
[1,6,3,2,7,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => [9,3,2,2] => 0
[1,6,3,4,2,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [16] => 0
[1,6,3,4,2,7,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [9,8] => 0
[1,6,3,7,2,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => [9,6,2] => 0
[1,6,4,2,3,5,7] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [16] => 0
[1,6,4,2,3,7,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [9,8] => 0
[1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [16] => 0
[1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [7,6] => 0
[1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => [11,2,2] => 0
[1,7,2,3,5,4,6] => ([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => [11,2,2] => 0
[1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [9,8] => 0
[1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [9,8] => 0
[1,7,2,4,3,5,6] => ([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => [11,2,2] => 0
[1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => [5,4,2,2,2,2] => 0
[1,7,2,4,5,3,6] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [9,8] => 0
[1,7,2,5,3,4,6] => ([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [9,8] => 0
[1,7,3,2,4,5,6] => ([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => [11,2,2] => 0
[1,7,3,2,4,6,5] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => [5,4,2,2,2,2] => 0
[1,7,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[1,7,3,4,2,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [9,8] => 0
[1,7,4,2,3,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [9,8] => 0
[2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [7,2] => 0
[2,1,3,4,5,7,6] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [6,2,2] => 0
[2,1,3,4,6,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [6,2,2] => 0
[2,1,3,4,6,7,5] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [9,2] => 0
[2,1,3,4,7,5,6] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [9,2] => 0
[2,1,3,4,7,6,5] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [5,2,2,2,2] => 0
[2,1,3,5,4,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [6,2,2] => 0
[2,1,3,5,4,7,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [5,2,2,2] => 0
[2,1,3,5,6,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [9,2] => 0
[2,1,3,5,6,7,4] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [6,4,2] => 0
[2,1,3,5,7,4,6] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [5,5,2] => 0
[2,1,3,5,7,6,4] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[2,1,3,6,4,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [9,2] => 0
[2,1,3,6,4,7,5] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [5,5,2] => 0
[2,1,3,6,5,4,7] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [5,2,2,2,2] => 0
[2,1,3,6,5,7,4] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [8,2,2,2] => 0
[2,1,3,6,7,4,5] => ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [5,3,3,2] => 0
[2,1,3,6,7,5,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [8,6,2] => 0
[2,1,3,7,4,5,6] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [6,4,2] => 0
[2,1,3,7,4,6,5] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[2,1,3,7,5,4,6] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [8,2,2,2] => 0
[2,1,3,7,5,6,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [8,6,2] => 0
[2,1,3,7,6,4,5] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [8,6,2] => 0
[2,1,4,3,5,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [6,2,2] => 0
[2,1,4,3,5,7,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [5,2,2,2] => 0
[2,1,4,3,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => 0
[2,1,4,3,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => 0
[2,1,4,3,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => 0
[2,1,4,3,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [4,2,2,2,2,2] => 0
[2,1,4,5,3,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [9,2] => 0
[2,1,4,5,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [8,2,2] => 0
[2,1,4,5,6,3,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [6,4,2] => 0
[2,1,4,5,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [11,2] => 0
[2,1,4,5,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => [11,2] => 0
[2,1,4,5,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => [5,4,2,2,2] => 0
[2,1,4,6,3,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [5,5,2] => 0
[2,1,4,6,3,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => [11,2] => 0
[2,1,4,6,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [8,2,2,2] => 0
[2,1,4,6,5,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => [5,4,2,2,2] => 0
[2,1,4,6,7,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => [9,3,2] => 0
[2,1,4,6,7,5,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [15,2] => 0
[2,1,4,7,3,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => [11,2] => 0
[2,1,4,7,3,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [5,4,2,2,2] => 0
[2,1,4,7,5,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => [11,2,2] => 0
[2,1,4,7,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [15,2] => 0
[2,1,4,7,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => [6,5,4,2] => 1
[2,1,5,3,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [9,2] => 0
[2,1,5,3,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [8,2,2] => 0
[2,1,5,3,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [5,5,2] => 0
[2,1,5,3,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => [11,2] => 0
[2,1,5,3,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => [11,2] => 0
[2,1,5,3,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [5,4,2,2,2] => 0
[2,1,5,4,3,6,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [5,2,2,2,2] => 0
[2,1,5,4,3,7,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,2,2,2,2] => 0
[2,1,5,4,6,3,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [8,2,2,2] => 0
[2,1,5,4,6,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => [5,4,2,2,2] => 0
[2,1,5,4,7,3,6] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => [5,4,2,2,2] => 0
[2,1,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => [7,2,2,2,2,2] => 0
[2,1,5,6,3,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [5,3,3,2] => 0
[2,1,5,6,3,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => [9,3,2] => 0
[2,1,5,6,4,3,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [8,6,2] => 0
[2,1,5,6,4,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [15,2] => 0
[2,1,5,6,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [13,2] => 0
[2,1,5,7,3,4,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => [9,3,2] => 0
[2,1,5,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => [8,4,2,2] => 0
[2,1,5,7,4,3,6] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [6,5,4,2] => 1
[2,1,6,3,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [6,4,2] => 0
[2,1,6,3,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => [11,2] => 0
[2,1,6,3,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [8,2,2,2] => 0
[2,1,6,3,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => [11,2,2] => 0
[2,1,6,3,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => [9,3,2] => 0
[2,1,6,3,7,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => [6,5,4,2] => 1
[2,1,6,4,3,5,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [8,2,2,2] => 0
[2,1,6,4,3,7,5] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => [5,4,2,2,2] => 0
[2,1,6,4,5,3,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [8,6,2] => 0
[2,1,6,4,5,7,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [15,2] => 0
[2,1,6,4,7,3,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => [8,4,2,2] => 0
[2,1,6,5,3,4,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [8,6,2] => 0
[2,1,6,5,3,7,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [6,5,4,2] => 1
[2,1,6,7,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [13,2] => 0
[2,1,7,3,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [11,2] => 0
[2,1,7,3,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => [5,4,2,2,2] => 0
[2,1,7,3,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => [5,4,2,2,2] => 0
[2,1,7,3,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [15,2] => 0
[2,1,7,3,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [15,2] => 0
[2,1,7,4,3,5,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => [5,4,2,2,2] => 0
[2,1,7,4,3,6,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => [7,2,2,2,2,2] => 0
[2,1,7,4,5,3,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [15,2] => 0
[2,1,7,5,3,4,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [15,2] => 0
[2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [10] => 0
[2,3,1,4,5,7,6] => ([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [9,2] => 0
[2,3,1,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [9,2] => 0
[2,3,1,4,6,7,5] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [12] => 0
[2,3,1,4,7,5,6] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [12] => 0
[2,3,1,4,7,6,5] => ([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[2,3,1,5,4,6,7] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [9,2] => 0
[2,3,1,5,4,7,6] => ([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => 0
[2,3,1,5,6,4,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [12] => 0
[2,3,1,5,6,7,4] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [9,4] => 0
[2,3,1,5,7,4,6] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [8,5] => 1
[2,3,1,5,7,6,4] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [11,2,2] => 0
[2,3,1,6,4,5,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [12] => 0
[2,3,1,6,4,7,5] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [8,5] => 1
[2,3,1,6,5,4,7] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8,2,2,2] => 0
[2,3,1,6,5,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [11,2,2] => 0
[2,3,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => [8,3,3] => 2
[2,3,1,6,7,5,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[2,3,1,7,4,5,6] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [9,4] => 0
[2,3,1,7,4,6,5] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [11,2,2] => 0
[2,3,1,7,5,4,6] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [11,2,2] => 0
[2,3,1,7,5,6,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[2,3,1,7,6,4,5] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[2,3,4,1,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [7,4] => 0
[2,3,4,1,5,7,6] => ([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [6,4,2] => 0
[2,3,4,1,6,5,7] => ([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [6,4,2] => 0
[2,3,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [9,4] => 0
[2,3,4,1,7,5,6] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [9,4] => 0
[2,3,4,1,7,6,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2] => 0
[2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [12] => 0
[2,3,4,5,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [11,2] => 0
[2,3,4,5,6,1,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [7,6] => 0
[2,3,4,5,6,7,1] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [14] => 0
[2,3,4,5,7,1,6] => ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => [14] => 0
[2,3,4,5,7,6,1] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [6,6,2,2] => 0
[2,3,4,6,1,5,7] => ([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [7,6] => 0
[2,3,4,6,1,7,5] => ([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => [14] => 0
[2,3,4,6,5,1,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [11,2,2] => 0
[2,3,4,6,5,7,1] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [6,6,2,2] => 0
[2,3,4,6,7,1,5] => ([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => [12,3] => 1
[2,3,4,7,1,5,6] => ([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => [14] => 0
[2,3,4,7,1,6,5] => ([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => [7,5,2,2] => 0
[2,3,4,7,5,1,6] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => [14,2] => 0
[2,3,5,1,4,6,7] => ([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [12] => 0
[2,3,5,1,4,7,6] => ([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2] => 0
[2,3,5,1,6,4,7] => ([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [7,6] => 0
[2,3,5,1,6,7,4] => ([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => [14] => 0
[2,3,5,1,7,4,6] => ([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => [14] => 0
[2,3,5,1,7,6,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [7,5,2,2] => 0
[2,3,5,4,1,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => 0
[2,3,5,4,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,4,2,2,2] => 0
[2,3,5,4,6,1,7] => ([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => [11,2,2] => 0
[2,3,5,4,6,7,1] => ([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,6,2,2] => 0
[2,3,5,4,7,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [7,5,2,2] => 0
[2,3,5,6,1,4,7] => ([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => [6,5,3] => 2
[2,3,5,6,1,7,4] => ([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => [10,5] => 1
[2,3,5,6,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [9,8] => 0
[2,3,5,6,7,1,4] => ([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => [16] => 0
[2,3,5,7,1,4,6] => ([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => [12,3] => 1
[2,3,5,7,1,6,4] => ([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => [10,5,2] => 1
[2,3,6,1,4,5,7] => ([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [7,6] => 0
[2,3,6,1,4,7,5] => ([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => [14] => 0
[2,3,6,1,5,4,7] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [11,2,2] => 0
[2,3,6,1,5,7,4] => ([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => [14,2] => 0
[2,3,6,1,7,4,5] => ([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => [12,3] => 1
[2,3,6,4,1,5,7] => ([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => [9,4,2] => 0
[2,3,6,4,1,7,5] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,4,2] => 0
[2,3,6,4,5,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [9,8] => 0
[2,3,6,4,7,1,5] => ([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => [10,5,2] => 1
[2,3,6,5,1,4,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => [11,6] => 0
[2,3,6,7,1,4,5] => ([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => [16] => 0
[2,3,7,1,4,5,6] => ([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => [14] => 0
[2,3,7,1,4,6,5] => ([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => [6,6,2,2] => 0
[2,3,7,1,5,4,6] => ([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => [6,6,2,2] => 0
[2,3,7,4,1,5,6] => ([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,4,2] => 0
[2,4,1,3,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [6,5] => 1
[2,4,1,3,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [5,5,2] => 0
[2,4,1,3,6,5,7] => ([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [5,5,2] => 0
[2,4,1,3,6,7,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [8,5] => 1
[2,4,1,3,7,5,6] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [8,5] => 1
[2,4,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[2,4,1,5,3,6,7] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [12] => 0
[2,4,1,5,3,7,6] => ([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => [11,2] => 0
[2,4,1,5,6,3,7] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [7,6] => 0
[2,4,1,5,6,7,3] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => [14] => 0
[2,4,1,5,7,3,6] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => [14] => 0
[2,4,1,5,7,6,3] => ([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => [7,5,2,2] => 0
[2,4,1,6,3,5,7] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => [8,5] => 1
[2,4,1,6,3,7,5] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => [14] => 0
[2,4,1,6,5,3,7] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [11,2,2] => 0
[2,4,1,6,5,7,3] => ([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => [7,5,2,2] => 0
[2,4,1,6,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => [12,3] => 1
[2,4,1,7,3,5,6] => ([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => [14] => 0
[2,4,1,7,3,6,5] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [8,4,2,2] => 0
[2,4,1,7,5,3,6] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => [14,2] => 0
[2,4,3,1,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [9,2,2] => 0
[2,4,3,1,5,7,6] => ([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [8,2,2,2] => 0
[2,4,3,1,6,5,7] => ([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,2,2,2] => 0
[2,4,3,1,6,7,5] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [11,2,2] => 0
[2,4,3,1,7,5,6] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [11,2,2] => 0
[2,4,3,1,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7,2,2,2,2,2] => 0
[2,4,3,5,1,6,7] => ([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [6,4,2,2] => 0
[2,4,3,5,1,7,6] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[2,4,3,5,6,1,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => [11,2,2] => 0
[2,4,3,5,6,7,1] => ([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [6,6,2,2] => 0
[2,4,3,5,7,1,6] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => [7,5,2,2] => 0
[2,4,3,6,1,5,7] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [11,2,2] => 0
[2,4,3,6,1,7,5] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [7,5,2,2] => 0
[2,4,3,6,5,1,7] => ([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[2,4,3,6,7,1,5] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [5,5,3,2,2] => 0
[2,4,3,7,1,5,6] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [6,6,2,2] => 0
[2,4,5,1,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [10,3] => 1
[2,4,5,1,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => 0
[2,4,5,1,6,3,7] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => [14] => 0
[2,4,5,1,6,7,3] => ([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => [10,5] => 1
[2,4,5,1,7,3,6] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => [9,6] => 0
[2,4,5,1,7,6,3] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => [13,2,2] => 0
[2,4,5,3,1,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [16] => 0
[2,4,5,3,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [15,2] => 0
[2,4,5,3,6,1,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [9,8] => 0
[2,4,5,6,1,3,7] => ([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => [10,5] => 1
[2,4,5,6,1,7,3] => ([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => [6,5,5] => 2
[2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [11,6] => 0
[2,4,5,7,1,3,6] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => [16] => 0
[2,4,6,1,3,5,7] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [6,5,3] => 2
[2,4,6,1,3,7,5] => ([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => [12,3] => 1
[2,4,6,1,5,3,7] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [14,2] => 0
[2,4,6,1,5,7,3] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => [10,5,2] => 1
[2,4,6,1,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => [16] => 0
[2,4,6,3,1,5,7] => ([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => [12,5] => 1
[2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [10,7] => 1
[2,4,7,1,3,5,6] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => [12,3] => 1
[2,4,7,1,3,6,5] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => [6,4,3,2,2] => 1
[2,4,7,1,5,3,6] => ([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => [9,6,2] => 0
[2,5,1,3,4,6,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [12] => 0
[2,5,1,3,4,7,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => [11,2] => 0
[2,5,1,3,6,4,7] => ([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => [8,5] => 1
[2,5,1,3,6,7,4] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => [14] => 0
[2,5,1,3,7,4,6] => ([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => [14] => 0
[2,5,1,3,7,6,4] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => [8,4,2,2] => 0
[2,5,1,4,3,6,7] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => [5,5,2,2] => 0
[2,5,1,4,3,7,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,4,2,2,2] => 0
[2,5,1,4,6,3,7] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => [8,5,2] => 1
[2,5,1,4,6,7,3] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => [5,5,4,2] => 0
[2,5,1,4,7,3,6] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => [5,5,4,2] => 0
[2,5,1,6,3,4,7] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => [6,5,3] => 2
[2,5,1,6,3,7,4] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => [12,3] => 1
[2,5,1,6,4,3,7] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [11,6] => 0
[2,5,1,6,7,3,4] => ([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => [16] => 0
[2,5,1,7,3,4,6] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => [9,6] => 0
[2,5,1,7,3,6,4] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => [11,4,2] => 0
[2,5,3,1,4,6,7] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [12,2] => 0
[2,5,3,1,4,7,6] => ([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2,2] => 0
[2,5,3,1,6,4,7] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,5,2] => 1
[2,5,3,1,6,7,4] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => [14,2] => 0
[2,5,3,1,7,4,6] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [14,2] => 0
[2,5,3,4,1,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [16] => 0
[2,5,3,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [15,2] => 0
[2,5,3,4,6,1,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [9,8] => 0
[2,5,3,6,1,4,7] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [14,2] => 0
[2,5,3,6,1,7,4] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => [10,5,2] => 1
[2,5,3,7,1,4,6] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => [9,6,2] => 0
[2,5,4,1,3,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,5] => 2
[2,5,4,1,3,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,5,4,2] => 1
[2,5,4,1,6,3,7] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [11,6] => 0
[2,5,6,1,3,4,7] => ([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => [10,5] => 1
[2,5,6,1,3,7,4] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => [16] => 0
[2,5,6,1,7,3,4] => ([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => [13,4] => 0
[2,5,7,1,3,4,6] => ([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => [16] => 0
[2,6,1,3,4,5,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [7,6] => 0
[2,6,1,3,4,7,5] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => [14] => 0
[2,6,1,3,5,4,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => 0
[2,6,1,3,5,7,4] => ([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => [14,2] => 0
[2,6,1,3,7,4,5] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => [12,3] => 1
[2,6,1,4,3,5,7] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => [11,2,2] => 0
[2,6,1,4,3,7,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => [8,4,2,2] => 0
[2,6,1,4,5,3,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [9,8] => 0
[2,6,1,4,7,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => [11,4,2] => 0
[2,6,1,5,3,4,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [9,8] => 0
[2,6,1,7,3,4,5] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => [16] => 0
[2,6,3,1,4,5,7] => ([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => [9,4,2] => 0
[2,6,3,1,4,7,5] => ([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => [14,2] => 0
[2,6,3,1,5,4,7] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2,2] => 0
[2,6,3,1,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [12,3,2] => 1
[2,6,3,4,1,5,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [11,6] => 0
[2,6,4,1,3,5,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [12,5] => 1
[2,6,7,1,3,4,5] => ([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => [10,7] => 1
[2,7,1,3,4,5,6] => ([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => [14] => 0
[2,7,1,3,4,6,5] => ([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => [7,5,2,2] => 0
[2,7,1,3,5,4,6] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => [7,5,2,2] => 0
[2,7,1,4,3,5,6] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => [7,5,2,2] => 0
[2,7,3,1,4,5,6] => ([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => [14,2] => 0
[3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [10] => 0
[3,1,2,4,5,7,6] => ([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [9,2] => 0
[3,1,2,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [9,2] => 0
[3,1,2,4,6,7,5] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [12] => 0
[3,1,2,4,7,5,6] => ([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [12] => 0
[3,1,2,4,7,6,5] => ([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[3,1,2,5,4,6,7] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [9,2] => 0
[3,1,2,5,4,7,6] => ([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [8,2,2] => 0
[3,1,2,5,6,4,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [12] => 0
[3,1,2,5,6,7,4] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [9,4] => 0
[3,1,2,5,7,4,6] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [8,5] => 1
[3,1,2,5,7,6,4] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [11,2,2] => 0
[3,1,2,6,4,5,7] => ([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [12] => 0
[3,1,2,6,4,7,5] => ([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [8,5] => 1
[3,1,2,6,5,4,7] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [8,2,2,2] => 0
[3,1,2,6,5,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [11,2,2] => 0
[3,1,2,6,7,4,5] => ([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => [8,3,3] => 2
[3,1,2,6,7,5,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[3,1,2,7,4,5,6] => ([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [9,4] => 0
[3,1,2,7,4,6,5] => ([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [11,2,2] => 0
[3,1,2,7,5,4,6] => ([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [11,2,2] => 0
[3,1,2,7,5,6,4] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[3,1,2,7,6,4,5] => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [11,6] => 0
[3,1,4,2,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [6,5] => 1
[3,1,4,2,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [5,5,2] => 0
[3,1,4,2,6,5,7] => ([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [5,5,2] => 0
[3,1,4,2,6,7,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [8,5] => 1
[3,1,4,2,7,5,6] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [8,5] => 1
[3,1,4,2,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[3,1,4,5,2,6,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [12] => 0
[3,1,4,5,2,7,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => [11,2] => 0
[3,1,4,5,6,2,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [7,6] => 0
[3,1,4,5,6,7,2] => ([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => [14] => 0
[3,1,4,5,7,2,6] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => [14] => 0
[3,1,4,5,7,6,2] => ([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => [7,5,2,2] => 0
[3,1,4,6,2,5,7] => ([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => [8,5] => 1
[3,1,4,6,2,7,5] => ([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => [14] => 0
[3,1,4,6,5,2,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => 0
[3,1,4,6,5,7,2] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => [7,5,2,2] => 0
[3,1,4,6,7,2,5] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => [12,3] => 1
[3,1,4,7,2,5,6] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => [14] => 0
[3,1,4,7,2,6,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => [8,4,2,2] => 0
[3,1,4,7,5,2,6] => ([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => [14,2] => 0
[3,1,5,2,4,6,7] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [12] => 0
[3,1,5,2,4,7,6] => ([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => [11,2] => 0
[3,1,5,2,6,4,7] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => [8,5] => 1
[3,1,5,2,6,7,4] => ([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => [14] => 0
[3,1,5,2,7,4,6] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => [14] => 0
[3,1,5,2,7,6,4] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [8,4,2,2] => 0
[3,1,5,4,2,6,7] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => [5,5,2,2] => 0
[3,1,5,4,2,7,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,4,2,2,2] => 0
[3,1,5,4,6,2,7] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => [11,2,2] => 0
[3,1,5,4,6,7,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => [7,5,2,2] => 0
[3,1,5,4,7,2,6] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => [8,4,2,2] => 0
[3,1,5,6,2,4,7] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => [6,5,3] => 2
[3,1,5,6,2,7,4] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => [9,6] => 0
[3,1,5,6,4,2,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [9,8] => 0
[3,1,5,6,7,2,4] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => [16] => 0
[3,1,5,7,2,4,6] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => [12,3] => 1
[3,1,5,7,2,6,4] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => [11,4,2] => 0
[3,1,6,2,4,5,7] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [7,6] => 0
[3,1,6,2,4,7,5] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => [14] => 0
[3,1,6,2,5,4,7] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [11,2,2] => 0
[3,1,6,2,5,7,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => [14,2] => 0
[3,1,6,2,7,4,5] => ([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => [12,3] => 1
[3,1,6,4,2,5,7] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => [8,5,2] => 1
[3,1,6,4,2,7,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => [5,5,4,2] => 0
[3,1,6,4,5,2,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [9,8] => 0
[3,1,6,4,7,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => [11,4,2] => 0
[3,1,6,5,2,4,7] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [11,6] => 0
[3,1,6,7,2,4,5] => ([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => [16] => 0
[3,1,7,2,4,5,6] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => [14] => 0
[3,1,7,2,4,6,5] => ([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => [7,5,2,2] => 0
[3,1,7,2,5,4,6] => ([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => [7,5,2,2] => 0
[3,1,7,4,2,5,6] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => [5,5,4,2] => 0
[3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [6,2,2,2] => 0
[3,2,1,4,5,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [5,2,2,2,2] => 0
[3,2,1,4,6,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [5,2,2,2,2] => 0
[3,2,1,4,6,7,5] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [8,2,2,2] => 0
[3,2,1,4,7,5,6] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [8,2,2,2] => 0
[3,2,1,4,7,6,5] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [4,2,2,2,2,2,2] => 0
[3,2,1,5,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [5,2,2,2,2] => 0
[3,2,1,5,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [4,2,2,2,2,2] => 0
[3,2,1,5,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [8,2,2,2] => 0
[3,2,1,5,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [5,4,2,2,2] => 0
[3,2,1,5,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => [5,4,2,2,2] => 0
[3,2,1,5,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [7,2,2,2,2,2] => 0
[3,2,1,6,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [8,2,2,2] => 0
[3,2,1,6,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => [5,4,2,2,2] => 0
[3,2,1,6,5,4,7] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => [4,2,2,2,2,2,2] => 0
[3,2,1,6,5,7,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [7,2,2,2,2,2] => 0
[3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [4,3,3,2,2,2] => 2
[3,2,1,7,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [5,4,2,2,2] => 0
[3,2,1,7,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [7,2,2,2,2,2] => 0
[3,2,1,7,5,4,6] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [7,2,2,2,2,2] => 0
[3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [9,2,2] => 0
[3,2,4,1,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [8,2,2,2] => 0
[3,2,4,1,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[3,2,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [11,2,2] => 0
[3,2,4,1,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [11,2,2] => 0
[3,2,4,1,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [7,2,2,2,2,2] => 0
[3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [6,4,2,2] => 0
[3,2,4,5,1,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => [5,4,2,2,2] => 0
[3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => [11,2,2] => 0
[3,2,4,5,6,7,1] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [6,6,2,2] => 0
[3,2,4,5,7,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => [7,5,2,2] => 0
[3,2,4,6,1,5,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => 0
[3,2,4,6,1,7,5] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => [7,5,2,2] => 0
[3,2,4,6,5,1,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [5,4,2,2,2,2] => 0
[3,2,4,6,7,1,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [5,5,3,2,2] => 0
[3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => [6,6,2,2] => 0
[3,2,5,1,4,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => [5,5,2,2] => 0
[3,2,5,1,4,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[3,2,5,1,6,4,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => [11,2,2] => 0
[3,2,5,1,6,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => [7,5,2,2] => 0
[3,2,5,1,7,4,6] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [8,4,2,2] => 0
[3,2,5,4,1,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [8,2,2,2,2] => 0
[3,2,5,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,2,2,2,2,2] => 0
[3,2,5,4,6,1,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [5,4,2,2,2,2] => 0
[3,2,5,6,1,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => [9,3,2,2] => 0
[3,2,5,6,1,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => [13,2,2] => 0
[3,2,5,7,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => [6,4,3,2,2] => 1
[3,2,6,1,4,5,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => [11,2,2] => 0
[3,2,6,1,4,7,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [8,4,2,2] => 0
[3,2,6,1,5,4,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[3,2,6,1,7,4,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [6,4,3,2,2] => 1
[3,2,6,4,1,5,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [11,2,2,2] => 0
[3,2,7,1,4,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [7,5,2,2] => 0
[3,4,1,2,5,6,7] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [6,3,3] => 2
[3,4,1,2,5,7,6] => ([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [5,3,3,2] => 0
[3,4,1,2,6,5,7] => ([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,3,3,2] => 0
[3,4,1,2,6,7,5] => ([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [8,3,3] => 2
[3,4,1,2,7,5,6] => ([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [8,3,3] => 2
[3,4,1,2,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3,3,2,2,2] => 2
[3,4,1,5,2,6,7] => ([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [10,3] => 1
[3,4,1,5,2,7,6] => ([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => 0
[3,4,1,5,6,2,7] => ([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => [6,5,3] => 2
[3,4,1,5,6,7,2] => ([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => [12,3] => 1
[3,4,1,5,7,2,6] => ([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => [12,3] => 1
[3,4,1,5,7,6,2] => ([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [5,5,3,2,2] => 0
[3,4,1,6,2,5,7] => ([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,5,3] => 2
[3,4,1,6,2,7,5] => ([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => [12,3] => 1
[3,4,1,6,5,2,7] => ([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9,3,2,2] => 0
[3,4,1,6,5,7,2] => ([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,5,3,2,2] => 0
[3,4,1,6,7,2,5] => ([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => [10,3,3] => 2
[3,4,1,7,2,5,6] => ([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => [12,3] => 1
[3,4,1,7,2,6,5] => ([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,4,3,2,2] => 1
[3,4,1,7,5,2,6] => ([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [12,3,2] => 1
[3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [9,6] => 0
[3,4,2,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [8,6,2] => 0
[3,4,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [8,6,2] => 0
[3,4,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[3,4,2,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[3,4,2,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [16] => 0
[3,4,2,5,1,7,6] => ([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [15,2] => 0
[3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [9,8] => 0
[3,4,2,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [9,8] => 0
[3,4,5,1,2,6,7] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [14] => 0
[3,4,5,1,2,7,6] => ([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [13,2] => 0
[3,4,5,1,6,2,7] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [10,5] => 1
[3,4,5,1,6,7,2] => ([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => [16] => 0
[3,4,5,1,7,2,6] => ([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [16] => 0
[3,4,5,6,1,2,7] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [16] => 0
[3,4,5,6,1,7,2] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [11,6] => 0
[3,4,5,7,1,2,6] => ([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => [10,7] => 1
[3,4,6,1,2,5,7] => ([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [10,5] => 1
[3,4,6,1,2,7,5] => ([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [16] => 0
[3,4,6,1,5,2,7] => ([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [9,6,2] => 0
[3,4,6,1,7,2,5] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [10,7] => 1
[3,4,7,1,2,5,6] => ([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => [16] => 0
[3,5,1,2,4,6,7] => ([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [10,3] => 1
[3,5,1,2,4,7,6] => ([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => 0
[3,5,1,2,6,4,7] => ([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,5,3] => 2
[3,5,1,2,6,7,4] => ([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => [12,3] => 1
[3,5,1,2,7,4,6] => ([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => [12,3] => 1
[3,5,1,2,7,6,4] => ([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,4,3,2,2] => 1
[3,5,1,4,2,6,7] => ([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [8,5,2] => 1
[3,5,1,4,2,7,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [8,4,2,2] => 0
[3,5,1,4,6,2,7] => ([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [14,2] => 0
[3,5,1,4,6,7,2] => ([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [10,5,2] => 1
[3,5,1,4,7,2,6] => ([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11,4,2] => 0
[3,5,1,6,2,4,7] => ([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => [10,5] => 1
[3,5,1,6,2,7,4] => ([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => [16] => 0
[3,5,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => [10,7] => 1
[3,5,1,7,2,4,6] => ([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => [16] => 0
[3,5,2,1,4,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => [6,5,5] => 2
[3,5,2,1,4,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [6,5,4,2] => 1
[3,5,2,1,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => [11,6] => 0
[3,5,4,1,2,6,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => 3
[3,5,6,1,2,4,7] => ([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => [7,5,4] => 0
[3,5,6,1,2,7,4] => ([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => [13,4] => 0
[3,5,7,1,2,4,6] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [10,7] => 1
[3,6,1,2,4,5,7] => ([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => [6,5,3] => 2
[3,6,1,2,4,7,5] => ([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => [12,3] => 1
[3,6,1,2,5,4,7] => ([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [9,3,2,2] => 0
[3,6,1,2,5,7,4] => ([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [12,3,2] => 1
[3,6,1,2,7,4,5] => ([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => [10,3,3] => 2
[3,6,1,4,2,5,7] => ([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [14,2] => 0
[3,6,1,4,2,7,5] => ([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [11,4,2] => 0
[3,6,1,7,2,4,5] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => [10,7] => 1
[3,6,2,1,4,5,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => [11,6] => 0
[3,7,1,2,4,5,6] => ([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => [12,3] => 1
[3,7,1,2,4,6,5] => ([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [5,5,3,2,2] => 0
[3,7,1,2,5,4,6] => ([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,5,3,2,2] => 0
[3,7,1,4,2,5,6] => ([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [10,5,2] => 1
[4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [7,4] => 0
[4,1,2,3,5,7,6] => ([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [6,4,2] => 0
[4,1,2,3,6,5,7] => ([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [6,4,2] => 0
[4,1,2,3,6,7,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [9,4] => 0
[4,1,2,3,7,5,6] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [9,4] => 0
[4,1,2,3,7,6,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [5,4,2,2,2] => 0
[4,1,2,5,3,6,7] => ([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [12] => 0
[4,1,2,5,3,7,6] => ([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2] => 0
[4,1,2,5,6,3,7] => ([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [7,6] => 0
[4,1,2,5,6,7,3] => ([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => [14] => 0
[4,1,2,5,7,3,6] => ([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => [14] => 0
[4,1,2,5,7,6,3] => ([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => [6,6,2,2] => 0
[4,1,2,6,3,5,7] => ([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [7,6] => 0
[4,1,2,6,3,7,5] => ([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => [14] => 0
[4,1,2,6,5,3,7] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [11,2,2] => 0
[4,1,2,6,5,7,3] => ([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => [6,6,2,2] => 0
[4,1,2,6,7,3,5] => ([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => [12,3] => 1
[4,1,2,7,3,5,6] => ([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => [14] => 0
[4,1,2,7,3,6,5] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [7,5,2,2] => 0
[4,1,2,7,5,3,6] => ([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => [14,2] => 0
[4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [9,2,2] => 0
[4,1,3,2,5,7,6] => ([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [8,2,2,2] => 0
[4,1,3,2,6,5,7] => ([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,2,2,2] => 0
[4,1,3,2,6,7,5] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [11,2,2] => 0
[4,1,3,2,7,5,6] => ([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [11,2,2] => 0
[4,1,3,2,7,6,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7,2,2,2,2,2] => 0
[4,1,3,5,2,6,7] => ([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [12,2] => 0
[4,1,3,5,2,7,6] => ([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [11,2,2] => 0
[4,1,3,5,6,2,7] => ([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => [9,4,2] => 0
[4,1,3,5,6,7,2] => ([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => [14,2] => 0
[4,1,3,5,7,2,6] => ([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => [14,2] => 0
[4,1,3,6,2,5,7] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,5,2] => 1
[4,1,3,6,2,7,5] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [14,2] => 0
[4,1,3,6,5,2,7] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [11,2,2,2] => 0
[4,1,3,6,7,2,5] => ([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [12,3,2] => 1
[4,1,3,7,2,5,6] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => [14,2] => 0
[4,1,5,2,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [10,3] => 1
[4,1,5,2,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => [9,3,2] => 0
[4,1,5,2,6,3,7] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [6,5,3] => 2
[4,1,5,2,6,7,3] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => [12,3] => 1
[4,1,5,2,7,3,6] => ([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => [12,3] => 1
[4,1,5,2,7,6,3] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => [6,4,3,2,2] => 1
[4,1,5,3,2,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,5] => 2
[4,1,5,3,2,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,5,4,2] => 1
[4,1,5,3,6,2,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [12,5] => 1
[4,1,5,6,2,3,7] => ([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => [10,5] => 1
[4,1,5,6,2,7,3] => ([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => [16] => 0
[4,1,5,6,7,2,3] => ([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => [10,7] => 1
[4,1,5,7,2,3,6] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => [16] => 0
[4,1,6,2,3,5,7] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => [14] => 0
[4,1,6,2,3,7,5] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => [9,6] => 0
[4,1,6,2,5,3,7] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [14,2] => 0
[4,1,6,2,5,7,3] => ([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => [9,6,2] => 0
[4,1,6,2,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => [16] => 0
[4,1,6,3,2,5,7] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [11,6] => 0
[4,1,6,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => [13,4] => 0
[4,1,7,2,3,5,6] => ([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => [10,5] => 1
[4,1,7,2,3,6,5] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => [13,2,2] => 0
[4,1,7,2,5,3,6] => ([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => [10,5,2] => 1
[4,2,1,3,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [9,2,2] => 0
[4,2,1,3,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [8,2,2,2] => 0
[4,2,1,3,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [8,2,2,2] => 0
[4,2,1,3,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [11,2,2] => 0
[4,2,1,3,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [11,2,2] => 0
[4,2,1,3,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [7,2,2,2,2,2] => 0
[4,2,1,5,3,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => [5,5,2,2] => 0
[4,2,1,5,3,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[4,2,1,5,6,3,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => [11,2,2] => 0
[4,2,1,5,6,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [7,5,2,2] => 0
[4,2,1,5,7,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [8,4,2,2] => 0
[4,2,1,6,3,5,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => [11,2,2] => 0
[4,2,1,6,3,7,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [8,4,2,2] => 0
[4,2,1,6,5,3,7] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[4,2,1,6,7,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [6,4,3,2,2] => 1
[4,2,1,7,3,5,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => [7,5,2,2] => 0
[4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [9,6] => 0
[4,2,3,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [8,6,2] => 0
[4,2,3,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [8,6,2] => 0
[4,2,3,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[4,2,3,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[4,2,3,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [16] => 0
[4,2,3,5,1,7,6] => ([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [15,2] => 0
[4,2,3,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [9,8] => 0
[4,2,3,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [9,8] => 0
[4,2,5,1,3,6,7] => ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [8,5,2] => 1
[4,2,5,1,3,7,6] => ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [8,4,2,2] => 0
[4,2,5,1,6,3,7] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [14,2] => 0
[4,2,5,1,6,7,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => [10,5,2] => 1
[4,2,5,1,7,3,6] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [11,4,2] => 0
[4,2,5,6,1,3,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [9,6,2] => 0
[4,2,6,1,3,5,7] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [14,2] => 0
[4,2,6,1,3,7,5] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [11,4,2] => 0
[4,2,7,1,3,5,6] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => [10,5,2] => 1
[4,3,1,2,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [9,6] => 0
[4,3,1,2,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [8,6,2] => 0
[4,3,1,2,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [8,6,2] => 0
[4,3,1,2,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[4,3,1,2,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [11,6] => 0
[4,3,1,5,2,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => [6,5,5] => 2
[4,3,1,5,2,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [6,5,4,2] => 1
[4,3,1,5,6,2,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => [11,6] => 0
[4,3,1,6,2,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => [11,6] => 0
[4,3,5,1,2,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => 3
[4,5,1,2,3,6,7] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [14] => 0
[4,5,1,2,3,7,6] => ([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [13,2] => 0
[4,5,1,2,6,3,7] => ([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [10,5] => 1
[4,5,1,2,6,7,3] => ([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => [16] => 0
[4,5,1,2,7,3,6] => ([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [16] => 0
[4,5,1,3,2,6,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => 3
[4,5,1,6,2,3,7] => ([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => [7,5,4] => 0
[4,5,1,6,2,7,3] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [10,7] => 1
[4,5,1,7,2,3,6] => ([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => [13,4] => 0
[4,5,2,1,3,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => [6,5,3,3] => 3
[4,5,6,1,2,3,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => [5,4,4,4] => 0
[4,6,1,2,3,5,7] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [10,5] => 1
[4,6,1,2,3,7,5] => ([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [16] => 0
[4,6,1,2,5,3,7] => ([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [9,6,2] => 0
[4,6,1,2,7,3,5] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [10,7] => 1
[4,7,1,2,3,5,6] => ([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => [16] => 0
[5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [12] => 0
[5,1,2,3,4,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [11,2] => 0
[5,1,2,3,6,4,7] => ([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [7,6] => 0
[5,1,2,3,6,7,4] => ([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => [14] => 0
[5,1,2,3,7,4,6] => ([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => [14] => 0
[5,1,2,3,7,6,4] => ([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => [7,5,2,2] => 0
[5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,2,2] => 0
[5,1,2,4,3,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,4,2,2,2] => 0
[5,1,2,4,6,3,7] => ([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => [9,4,2] => 0
[5,1,2,4,6,7,3] => ([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => [6,4,4,2] => 0
[5,1,2,4,7,3,6] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [5,5,4,2] => 0
[5,1,2,6,3,4,7] => ([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => [6,5,3] => 2
[5,1,2,6,3,7,4] => ([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => [12,3] => 1
[5,1,2,6,4,3,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => [11,6] => 0
[5,1,2,6,7,3,4] => ([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => [16] => 0
[5,1,2,7,3,4,6] => ([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => [10,5] => 1
[5,1,2,7,3,6,4] => ([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => [10,5,2] => 1
[5,1,3,2,4,6,7] => ([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [6,4,2,2] => 0
[5,1,3,2,4,7,6] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => [5,4,2,2,2] => 0
[5,1,3,2,6,4,7] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [11,2,2] => 0
[5,1,3,2,6,7,4] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [6,6,2,2] => 0
[5,1,3,2,7,4,6] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [7,5,2,2] => 0
[5,1,3,4,2,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [16] => 0
[5,1,3,4,2,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [15,2] => 0
[5,1,3,4,6,2,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [11,6] => 0
[5,1,3,6,2,4,7] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [14,2] => 0
[5,1,3,6,2,7,4] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => [9,6,2] => 0
[5,1,3,7,2,4,6] => ([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => [10,5,2] => 1
[5,1,4,2,3,6,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [16] => 0
[5,1,4,2,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [15,2] => 0
[5,1,4,2,6,3,7] => ([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => [12,5] => 1
[5,1,6,2,3,4,7] => ([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => [10,5] => 1
[5,1,6,2,3,7,4] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => [16] => 0
[5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [10,7] => 1
[5,1,7,2,3,4,6] => ([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => [6,5,5] => 2
[5,2,1,3,4,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [6,4,2,2] => 0
[5,2,1,3,4,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => [5,4,2,2,2] => 0
[5,2,1,3,6,4,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => [11,2,2] => 0
[5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => [6,6,2,2] => 0
[5,2,1,3,7,4,6] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => [7,5,2,2] => 0
[5,2,1,4,3,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [8,2,2,2,2] => 0
[5,2,1,4,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,2,2,2,2,2] => 0
[5,2,1,4,6,3,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [11,2,2,2] => 0
[5,2,1,6,3,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => [9,3,2,2] => 0
[5,2,1,6,3,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => [6,4,3,2,2] => 1
[5,2,1,7,3,4,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => [13,2,2] => 0
[5,2,3,1,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [16] => 0
[5,2,3,1,4,7,6] => ([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [15,2] => 0
[5,2,3,1,6,4,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [9,8] => 0
[5,2,6,1,3,4,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [9,6,2] => 0
[5,3,1,2,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [16] => 0
[5,3,1,2,4,7,6] => ([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [15,2] => 0
[5,3,1,2,6,4,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [9,8] => 0
[5,6,1,2,3,4,7] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [16] => 0
[5,6,1,2,3,7,4] => ([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => [10,7] => 1
[5,7,1,2,3,4,6] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [11,6] => 0
[6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [7,6] => 0
[6,1,2,3,4,7,5] => ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => [14] => 0
[6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [11,2,2] => 0
[6,1,2,3,5,7,4] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => [14,2] => 0
[6,1,2,3,7,4,5] => ([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => [12,3] => 1
[6,1,2,4,3,5,7] => ([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => [11,2,2] => 0
[6,1,2,4,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [7,5,2,2] => 0
[6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [9,8] => 0
[6,1,2,4,7,3,5] => ([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => [10,5,2] => 1
[6,1,2,5,3,4,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [9,8] => 0
[6,1,2,7,3,4,5] => ([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => [16] => 0
[6,1,3,2,4,5,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => [11,2,2] => 0
[6,1,3,2,4,7,5] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => [7,5,2,2] => 0
[6,1,3,2,5,4,7] => ([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [5,4,2,2,2,2] => 0
[6,1,3,2,7,4,5] => ([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [5,5,3,2,2] => 0
[6,1,3,4,2,5,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [9,8] => 0
[6,1,4,2,3,5,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [9,8] => 0
[6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [11,6] => 0
[6,2,1,3,4,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => [11,2,2] => 0
[6,2,1,3,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => [7,5,2,2] => 0
[6,2,1,3,5,4,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [5,4,2,2,2,2] => 0
[6,2,1,3,7,4,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [5,5,3,2,2] => 0
[6,2,1,4,3,5,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [5,4,2,2,2,2] => 0
[6,2,3,1,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [9,8] => 0
[6,3,1,2,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [9,8] => 0
[7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [14] => 0
[7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [6,6,2,2] => 0
[7,1,2,3,5,4,6] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [6,6,2,2] => 0
[7,1,2,4,3,5,6] => ([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [6,6,2,2] => 0
[7,1,3,2,4,5,6] => ([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [6,6,2,2] => 0
[7,2,1,3,4,5,6] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [6,6,2,2] => 0
[1,2,3,5,7,4,6,8] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [7,5] => 0
[1,2,3,6,4,7,5,8] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [7,5] => 0
[1,2,6,4,7,3,5,8] => ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => [8,6,2] => 0
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Generating function
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 6$
$F_{4} = 24$
Description
The number of odd parts smaller than the largest even part in an integer partition.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
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