Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00248: Permutations —DEX composition⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St000264: Graphs ⟶ ℤ
Values
[+,4,+,2] => [1,4,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[-,4,+,2] => [1,4,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[+,4,-,2] => [1,4,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[-,4,-,2] => [1,4,3,2] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[4,3,2,1] => [4,3,2,1] => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 3
[+,+,5,+,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,+,5,+,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,-,5,+,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,+,5,-,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,-,5,+,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,+,5,-,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,-,5,-,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,-,5,-,3] => [1,2,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,3,2,5,4] => [1,3,2,5,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,3,2,5,4] => [1,3,2,5,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,3,5,+,2] => [1,3,5,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,3,5,+,2] => [1,3,5,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,3,5,-,2] => [1,3,5,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,3,5,-,2] => [1,3,5,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,2,5,3] => [1,4,2,5,3] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,2,5,3] => [1,4,2,5,3] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,+,2,+] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,+,2,+] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,-,2,+] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,+,2,-] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,-,2,+] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,+,2,-] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,-,2,-] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,-,2,-] => [1,4,3,2,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,+,5,2] => [1,4,3,5,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,+,5,2] => [1,4,3,5,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,-,5,2] => [1,4,3,5,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,-,5,2] => [1,4,3,5,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,4,5,3,2] => [1,4,5,3,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,5,3,2] => [1,4,5,3,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,2,+,3] => [1,5,2,4,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,2,+,3] => [1,5,2,4,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,2,-,3] => [1,5,2,4,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,2,-,3] => [1,5,2,4,3] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,+,2,4] => [1,5,3,2,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,+,2,4] => [1,5,3,2,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,-,2,4] => [1,5,3,2,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,-,2,4] => [1,5,3,2,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,+,+,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,+,+,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,-,+,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,+,-,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,-,+,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,+,-,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,-,-,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,-,-,2] => [1,5,3,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,5,4,2,3] => [1,5,4,2,3] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[-,5,4,2,3] => [1,5,4,2,3] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,5,4,3,2] => [1,5,4,3,2] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,4,3,2] => [1,5,4,3,2] => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,1,5,+,3] => [2,1,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,1,5,-,3] => [2,1,5,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,5,4,3,1] => [2,5,4,3,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,1,5,+,2] => [3,1,5,4,2] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,1,5,-,2] => [3,1,5,4,2] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,+,1,5,4] => [3,2,1,5,4] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,1,5,4] => [3,2,1,5,4] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,+,5,+,1] => [3,2,5,4,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,5,+,1] => [3,2,5,4,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,+,5,-,1] => [3,2,5,4,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,5,-,1] => [3,2,5,4,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,5,4,2,1] => [3,5,4,2,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,1,5,3,2] => [4,1,5,3,2] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,+,1,5,3] => [4,2,1,5,3] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,-,1,5,3] => [4,2,1,5,3] => [2,1,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,+,5,3,1] => [4,2,5,3,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,-,5,3,1] => [4,2,5,3,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,1,5,2] => [4,3,1,5,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,2,1,+] => [4,3,2,1,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,2,1,-] => [4,3,2,1,5] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,2,5,1] => [4,3,2,5,1] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,5,2,1] => [4,3,5,2,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,5,+,2,1] => [4,5,3,2,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,5,-,2,1] => [4,5,3,2,1] => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,1,4,3,2] => [5,1,4,3,2] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,+,1,+,3] => [5,2,1,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,-,1,+,3] => [5,2,1,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,+,1,-,3] => [5,2,1,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,-,1,-,3] => [5,2,1,4,3] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,+,4,3,1] => [5,2,4,3,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,-,4,3,1] => [5,2,4,3,1] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,1,+,2] => [5,3,1,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,1,-,2] => [5,3,1,4,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,2,1,4] => [5,3,2,1,4] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,2,+,1] => [5,3,2,4,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,2,-,1] => [5,3,2,4,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,3,4,2,1] => [5,3,4,2,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,1,3,2] => [5,4,1,3,2] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,2,1,3] => [5,4,2,1,3] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,2,3,1] => [5,4,2,3,1] => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,+,1,2] => [5,4,3,1,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,-,1,2] => [5,4,3,1,2] => [1,2,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,+,2,1] => [5,4,3,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,4,-,2,1] => [5,4,3,2,1] => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,+,+,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,+,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
>>> Load all 1184 entries. <<<[+,-,+,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,-,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,+,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,+,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,-,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,+,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,-,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,+,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,-,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,-,6,+,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,+,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,-,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,-,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,-,6,-,4] => [1,2,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,4,3,6,5] => [1,2,4,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,4,3,6,5] => [1,2,4,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,4,3,6,5] => [1,2,4,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,4,3,6,5] => [1,2,4,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,4,6,+,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,4,6,+,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,4,6,+,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,4,6,-,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,4,6,+,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,4,6,-,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,4,6,-,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,4,6,-,3] => [1,2,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,3,6,4] => [1,2,5,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,3,6,4] => [1,2,5,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,3,6,4] => [1,2,5,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,3,6,4] => [1,2,5,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,+,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,+,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,+,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,-,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,+,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,+,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,-,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,+,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,-,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,+,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,-,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,-,3,+] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,+,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,-,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,-,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,-,3,-] => [1,2,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,+,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,+,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,+,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,-,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,+,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,-,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,-,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,-,6,3] => [1,2,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,5,6,4,3] => [1,2,5,6,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,6,4,3] => [1,2,5,6,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,6,4,3] => [1,2,5,6,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,6,4,3] => [1,2,5,6,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,3,+,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,3,+,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,3,+,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,3,-,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,3,+,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,3,-,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,3,-,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,3,-,4] => [1,2,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,+,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,+,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,+,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,-,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,+,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,-,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,-,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,-,3,5] => [1,2,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,+,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,+,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,+,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,-,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,+,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,+,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,-,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,+,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,-,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,+,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,-,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,-,+,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,+,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,-,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,-,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,-,-,3] => [1,2,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,5,3,4] => [1,2,6,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,5,3,4] => [1,2,6,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,5,3,4] => [1,2,6,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,5,3,4] => [1,2,6,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,6,5,4,3] => [1,2,6,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,5,4,3] => [1,2,6,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,5,4,3] => [1,2,6,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,5,4,3] => [1,2,6,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,+,6,5] => [1,3,2,4,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,+,6,5] => [1,3,2,4,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,-,6,5] => [1,3,2,4,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,-,6,5] => [1,3,2,4,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,5,4,+] => [1,3,2,5,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,5,4,+] => [1,3,2,5,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,5,4,-] => [1,3,2,5,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,5,4,-] => [1,3,2,5,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,5,6,4] => [1,3,2,5,6,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,5,6,4] => [1,3,2,5,6,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,6,4,5] => [1,3,2,6,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,6,4,5] => [1,3,2,6,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,6,+,4] => [1,3,2,6,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,6,+,4] => [1,3,2,6,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,2,6,-,4] => [1,3,2,6,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,6,-,4] => [1,3,2,6,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,4,2,6,5] => [1,3,4,2,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,4,2,6,5] => [1,3,4,2,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,4,6,+,2] => [1,3,4,6,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,4,6,+,2] => [1,3,4,6,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,4,6,-,2] => [1,3,4,6,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,4,6,-,2] => [1,3,4,6,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,2,6,4] => [1,3,5,2,6,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,2,6,4] => [1,3,5,2,6,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,+,2,+] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,+,2,+] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,-,2,+] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,+,2,-] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,-,2,+] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,+,2,-] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,-,2,-] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,-,2,-] => [1,3,5,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,+,6,2] => [1,3,5,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,+,6,2] => [1,3,5,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,-,6,2] => [1,3,5,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,-,6,2] => [1,3,5,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,5,6,4,2] => [1,3,5,6,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,6,4,2] => [1,3,5,6,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,2,+,4] => [1,3,6,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,2,+,4] => [1,3,6,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,2,-,4] => [1,3,6,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,2,-,4] => [1,3,6,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,+,2,5] => [1,3,6,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,+,2,5] => [1,3,6,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,-,2,5] => [1,3,6,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,-,2,5] => [1,3,6,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,+,+,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,+,+,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,-,+,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,+,-,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,-,+,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,+,-,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,-,-,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,-,-,2] => [1,3,6,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,5,2,4] => [1,3,6,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,5,2,4] => [1,3,6,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,5,4,2] => [1,3,6,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,5,4,2] => [1,3,6,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,3,6,5] => [1,4,2,3,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,3,6,5] => [1,4,2,3,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,5,3,+] => [1,4,2,5,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,5,3,+] => [1,4,2,5,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,5,3,-] => [1,4,2,5,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,5,3,-] => [1,4,2,5,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,5,6,3] => [1,4,2,5,6,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,5,6,3] => [1,4,2,5,6,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,6,3,5] => [1,4,2,6,3,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,6,3,5] => [1,4,2,6,3,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,6,+,3] => [1,4,2,6,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,6,+,3] => [1,4,2,6,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,2,6,-,3] => [1,4,2,6,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,6,-,3] => [1,4,2,6,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,2,+,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,+,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,+,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,2,-,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,2,+,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,+,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,-,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,+,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,-,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,+,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,2,-,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,-,+] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,+,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,-,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,-,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,-,-] => [1,4,3,2,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,2,6,5] => [1,4,3,2,6,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,6,5] => [1,4,3,2,6,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,6,5] => [1,4,3,2,6,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,6,5] => [1,4,3,2,6,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,5,2,+] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,5,2,+] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,5,2,+] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,5,2,-] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,5,2,+] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,5,2,-] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,5,2,-] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,5,2,-] => [1,4,3,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,5,6,2] => [1,4,3,5,6,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,5,6,2] => [1,4,3,5,6,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,5,6,2] => [1,4,3,5,6,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,5,6,2] => [1,4,3,5,6,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,6,2,5] => [1,4,3,6,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,6,2,5] => [1,4,3,6,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,6,2,5] => [1,4,3,6,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,6,2,5] => [1,4,3,6,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,6,+,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,6,+,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,6,+,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,+,6,-,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,6,+,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,6,-,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,6,-,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,6,-,2] => [1,4,3,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,5,2,6,3] => [1,4,5,2,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,2,6,3] => [1,4,5,2,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,5,3,2,+] => [1,4,5,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,3,2,+] => [1,4,5,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,5,3,2,-] => [1,4,5,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,3,2,-] => [1,4,5,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,5,3,6,2] => [1,4,5,3,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,3,6,2] => [1,4,5,3,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,5,6,3,2] => [1,4,5,6,3,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,6,3,2] => [1,4,5,6,3,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,2,+,3] => [1,4,6,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,2,+,3] => [1,4,6,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,2,-,3] => [1,4,6,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,2,-,3] => [1,4,6,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,3,2,5] => [1,4,6,3,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,3,2,5] => [1,4,6,3,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,3,+,2] => [1,4,6,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,3,+,2] => [1,4,6,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,3,-,2] => [1,4,6,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,3,-,2] => [1,4,6,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,5,2,3] => [1,4,6,5,2,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,5,2,3] => [1,4,6,5,2,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,6,5,3,2] => [1,4,6,5,3,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,5,3,2] => [1,4,6,5,3,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,3,6,4] => [1,5,2,3,6,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,3,6,4] => [1,5,2,3,6,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,+,3,+] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,+,3,+] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,-,3,+] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,+,3,-] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,-,3,+] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,+,3,-] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,-,3,-] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,-,3,-] => [1,5,2,4,3,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,+,6,3] => [1,5,2,4,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,+,6,3] => [1,5,2,4,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,-,6,3] => [1,5,2,4,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,-,6,3] => [1,5,2,4,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,6,3,4] => [1,5,2,6,3,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,6,3,4] => [1,5,2,6,3,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,2,6,4,3] => [1,5,2,6,4,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,6,4,3] => [1,5,2,6,4,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,2,4,+] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,2,4,+] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,2,4,+] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,2,4,-] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,2,4,+] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,2,4,-] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,2,4,-] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,2,4,-] => [1,5,3,2,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,2,6,4] => [1,5,3,2,6,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,2,6,4] => [1,5,3,2,6,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,2,6,4] => [1,5,3,2,6,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,2,6,4] => [1,5,3,2,6,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,+,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,+,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,+,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,-,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,+,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,+,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,-,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,+,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,-,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,+,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,-,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,-,2,+] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,+,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,-,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,-,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,-,2,-] => [1,5,3,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,+,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,+,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,+,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,-,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,+,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,-,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,-,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,-,6,2] => [1,5,3,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,6,2,4] => [1,5,3,6,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,6,2,4] => [1,5,3,6,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,6,2,4] => [1,5,3,6,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,6,2,4] => [1,5,3,6,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,+,6,4,2] => [1,5,3,6,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,6,4,2] => [1,5,3,6,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,6,4,2] => [1,5,3,6,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,6,4,2] => [1,5,3,6,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,4,2,3,+] => [1,5,4,2,3,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,4,2,3,+] => [1,5,4,2,3,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,5,4,2,3,-] => [1,5,4,2,3,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,4,2,3,-] => [1,5,4,2,3,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,5,4,2,6,3] => [1,5,4,2,6,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,2,6,3] => [1,5,4,2,6,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,4,3,2,+] => [1,5,4,3,2,6] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,3,2,+] => [1,5,4,3,2,6] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,4,3,2,-] => [1,5,4,3,2,6] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,3,2,-] => [1,5,4,3,2,6] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,4,3,6,2] => [1,5,4,3,6,2] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,3,6,2] => [1,5,4,3,6,2] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,4,6,2,3] => [1,5,4,6,2,3] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,4,6,2,3] => [1,5,4,6,2,3] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,5,4,6,3,2] => [1,5,4,6,3,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,6,3,2] => [1,5,4,6,3,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,2,4,3] => [1,5,6,2,4,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,2,4,3] => [1,5,6,2,4,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,3,2,4] => [1,5,6,3,2,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,3,2,4] => [1,5,6,3,2,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,3,4,2] => [1,5,6,3,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,3,4,2] => [1,5,6,3,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,+,2,3] => [1,5,6,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,+,2,3] => [1,5,6,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,-,2,3] => [1,5,6,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,-,2,3] => [1,5,6,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,+,3,2] => [1,5,6,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,+,3,2] => [1,5,6,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,-,3,2] => [1,5,6,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,-,3,2] => [1,5,6,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,3,+,4] => [1,6,2,3,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,3,+,4] => [1,6,2,3,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,3,-,4] => [1,6,2,3,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,3,-,4] => [1,6,2,3,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,+,3,5] => [1,6,2,4,3,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,3,5] => [1,6,2,4,3,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,-,3,5] => [1,6,2,4,3,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,-,3,5] => [1,6,2,4,3,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,+,+,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,+,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,-,+,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,+,-,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,-,+,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,-,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,-,-,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,-,-,3] => [1,6,2,4,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,2,4,5] => [1,6,3,2,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,2,4,5] => [1,6,3,2,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,2,4,5] => [1,6,3,2,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,2,4,5] => [1,6,3,2,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,2,+,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,2,+,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,2,+,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,2,-,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,2,+,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,2,-,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,2,-,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,2,-,4] => [1,6,3,2,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,+,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,+,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,+,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,-,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,+,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,-,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,-,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,-,2,5] => [1,6,3,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,+,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,+,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,+,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,-,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,+,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,+,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,-,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,+,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,-,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,+,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,-,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,-,+,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,+,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,-,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,-,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,-,-,2] => [1,6,3,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,5,2,4] => [1,6,3,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,5,2,4] => [1,6,3,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,5,2,4] => [1,6,3,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,5,2,4] => [1,6,3,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,+,5,4,2] => [1,6,3,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,5,4,2] => [1,6,3,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,5,4,2] => [1,6,3,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,5,4,2] => [1,6,3,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,2,3,5] => [1,6,4,2,3,5] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,6,4,2,3,5] => [1,6,4,2,3,5] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,6,4,2,+,3] => [1,6,4,2,5,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,2,+,3] => [1,6,4,2,5,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,2,-,3] => [1,6,4,2,5,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,2,-,3] => [1,6,4,2,5,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,3,2,5] => [1,6,4,3,2,5] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,3,2,5] => [1,6,4,3,2,5] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,3,+,2] => [1,6,4,3,5,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,3,+,2] => [1,6,4,3,5,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,3,-,2] => [1,6,4,3,5,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,3,-,2] => [1,6,4,3,5,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,4,5,2,3] => [1,6,4,5,2,3] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,6,4,5,2,3] => [1,6,4,5,2,3] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,6,4,5,3,2] => [1,6,4,5,3,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,5,3,2] => [1,6,4,5,3,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,2,3,4] => [1,6,5,2,3,4] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,6,5,2,3,4] => [1,6,5,2,3,4] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,6,5,2,4,3] => [1,6,5,2,4,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,2,4,3] => [1,6,5,2,4,3] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,3,2,4] => [1,6,5,3,2,4] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,3,2,4] => [1,6,5,3,2,4] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,3,4,2] => [1,6,5,3,4,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,3,4,2] => [1,6,5,3,4,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,+,2,3] => [1,6,5,4,2,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,+,2,3] => [1,6,5,4,2,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,-,2,3] => [1,6,5,4,2,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,-,2,3] => [1,6,5,4,2,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,+,3,2] => [1,6,5,4,3,2] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,+,3,2] => [1,6,5,4,3,2] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,-,3,2] => [1,6,5,4,3,2] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,-,3,2] => [1,6,5,4,3,2] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,+,6,+,4] => [2,1,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,-,6,+,4] => [2,1,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,+,6,-,4] => [2,1,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,-,6,-,4] => [2,1,3,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,4,6,+,3] => [2,1,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,4,6,-,3] => [2,1,4,6,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,3,6,4] => [2,1,5,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,+,3,+] => [2,1,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,-,3,+] => [2,1,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,+,3,-] => [2,1,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,-,3,-] => [2,1,5,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,+,6,3] => [2,1,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,-,6,3] => [2,1,5,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,6,4,3] => [2,1,5,6,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,3,+,4] => [2,1,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,3,-,4] => [2,1,6,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,+,3,5] => [2,1,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,-,3,5] => [2,1,6,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,+,+,3] => [2,1,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,-,+,3] => [2,1,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,+,-,3] => [2,1,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,-,-,3] => [2,1,6,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,5,3,4] => [2,1,6,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,5,4,3] => [2,1,6,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,1,6,+,4] => [2,3,1,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,1,6,-,4] => [2,3,1,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,6,5,4,1] => [2,3,6,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,1,6,+,3] => [2,4,1,6,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,1,6,-,3] => [2,4,1,6,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,+,1,6,5] => [2,4,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,1,6,5] => [2,4,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,+,6,+,1] => [2,4,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,6,+,1] => [2,4,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,+,6,-,1] => [2,4,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,6,-,1] => [2,4,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,6,5,3,1] => [2,4,6,5,3,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,1,6,4,3] => [2,5,1,6,4,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,+,1,6,4] => [2,5,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,-,1,6,4] => [2,5,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,+,6,4,1] => [2,5,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,-,6,4,1] => [2,5,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,4,1,6,3] => [2,5,4,1,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,4,3,1,+] => [2,5,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,4,3,1,-] => [2,5,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,4,3,6,1] => [2,5,4,3,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,4,6,3,1] => [2,5,4,6,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,6,+,3,1] => [2,5,6,4,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,6,-,3,1] => [2,5,6,4,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,5,4,3] => [2,6,1,5,4,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,+,1,+,4] => [2,6,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,-,1,+,4] => [2,6,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,+,1,-,4] => [2,6,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,-,1,-,4] => [2,6,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,+,5,4,1] => [2,6,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,-,5,4,1] => [2,6,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,1,+,3] => [2,6,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,1,-,3] => [2,6,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,3,1,5] => [2,6,4,3,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,3,+,1] => [2,6,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,3,-,1] => [2,6,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,4,5,3,1] => [2,6,4,5,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,1,4,3] => [2,6,5,1,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,3,1,4] => [2,6,5,3,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,3,4,1] => [2,6,5,3,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,+,1,3] => [2,6,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,-,1,3] => [2,6,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,+,3,1] => [2,6,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,-,3,1] => [2,6,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,2,6,+,4] => [3,1,2,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,2,6,-,4] => [3,1,2,6,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,2,6,5] => [3,1,4,2,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,6,+,2] => [3,1,4,6,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,6,-,2] => [3,1,4,6,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,2,6,4] => [3,1,5,2,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,+,2,+] => [3,1,5,4,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,-,2,+] => [3,1,5,4,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,+,2,-] => [3,1,5,4,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,-,2,-] => [3,1,5,4,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,+,6,2] => [3,1,5,4,6,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,-,6,2] => [3,1,5,4,6,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,5,6,4,2] => [3,1,5,6,4,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,2,+,4] => [3,1,6,2,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,2,-,4] => [3,1,6,2,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,+,2,5] => [3,1,6,4,2,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,-,2,5] => [3,1,6,4,2,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,+,+,2] => [3,1,6,4,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,-,+,2] => [3,1,6,4,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,+,-,2] => [3,1,6,4,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,-,-,2] => [3,1,6,4,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,5,2,4] => [3,1,6,5,2,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,5,4,2] => [3,1,6,5,4,2] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,+,6,5] => [3,2,1,4,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,+,6,5] => [3,2,1,4,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,-,6,5] => [3,2,1,4,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,-,6,5] => [3,2,1,4,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,5,4,+] => [3,2,1,5,4,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,4,+] => [3,2,1,5,4,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,5,4,-] => [3,2,1,5,4,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,4,-] => [3,2,1,5,4,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,5,6,4] => [3,2,1,5,6,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,6,4] => [3,2,1,5,6,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,6,4,5] => [3,2,1,6,4,5] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,4,5] => [3,2,1,6,4,5] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,6,+,4] => [3,2,1,6,5,4] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,+,4] => [3,2,1,6,5,4] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,6,-,4] => [3,2,1,6,5,4] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,-,4] => [3,2,1,6,5,4] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,4,1,6,5] => [3,2,4,1,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,1,6,5] => [3,2,4,1,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,4,6,+,1] => [3,2,4,6,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,6,+,1] => [3,2,4,6,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,4,6,-,1] => [3,2,4,6,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,6,-,1] => [3,2,4,6,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,1,6,4] => [3,2,5,1,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,1,6,4] => [3,2,5,1,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,+,1,+] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,+,1,+] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,-,1,+] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,+,1,-] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,-,1,+] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,+,1,-] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,-,1,-] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,-,1,-] => [3,2,5,4,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,+,6,1] => [3,2,5,4,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,+,6,1] => [3,2,5,4,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,-,6,1] => [3,2,5,4,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,-,6,1] => [3,2,5,4,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,5,6,4,1] => [3,2,5,6,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,6,4,1] => [3,2,5,6,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,1,+,4] => [3,2,6,1,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,1,+,4] => [3,2,6,1,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,1,-,4] => [3,2,6,1,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,1,-,4] => [3,2,6,1,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,+,1,5] => [3,2,6,4,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,+,1,5] => [3,2,6,4,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,-,1,5] => [3,2,6,4,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,-,1,5] => [3,2,6,4,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,+,+,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,+,+,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,-,+,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,+,-,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,-,+,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,+,-,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,-,-,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,-,-,1] => [3,2,6,4,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,5,1,4] => [3,2,6,5,1,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,5,1,4] => [3,2,6,5,1,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,5,4,1] => [3,2,6,5,4,1] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,5,4,1] => [3,2,6,5,4,1] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,1,6,+,2] => [3,4,1,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,1,6,-,2] => [3,4,1,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,1,6,5] => [3,4,2,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,6,+,1] => [3,4,2,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,6,-,1] => [3,4,2,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,6,5,2,1] => [3,4,6,5,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,1,6,4,2] => [3,5,1,6,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,2,1,6,4] => [3,5,2,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,2,6,4,1] => [3,5,2,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,1,6,2] => [3,5,4,1,6,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,2,1,+] => [3,5,4,2,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,2,1,-] => [3,5,4,2,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,2,6,1] => [3,5,4,2,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,6,2,1] => [3,5,4,6,2,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,6,+,2,1] => [3,5,6,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,6,-,2,1] => [3,5,6,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,1,5,4,2] => [3,6,1,5,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,2,1,+,4] => [3,6,2,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,2,1,-,4] => [3,6,2,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,2,5,4,1] => [3,6,2,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,1,+,2] => [3,6,4,1,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,1,-,2] => [3,6,4,1,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,2,1,5] => [3,6,4,2,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,2,+,1] => [3,6,4,2,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,2,-,1] => [3,6,4,2,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,4,5,2,1] => [3,6,4,5,2,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,1,4,2] => [3,6,5,1,4,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,2,1,4] => [3,6,5,2,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,2,4,1] => [3,6,5,2,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,+,1,2] => [3,6,5,4,1,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,-,1,2] => [3,6,5,4,1,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,+,2,1] => [3,6,5,4,2,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,-,2,1] => [3,6,5,4,2,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,2,6,+,3] => [4,1,2,6,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,2,6,-,3] => [4,1,2,6,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,+,2,6,5] => [4,1,3,2,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,2,6,5] => [4,1,3,2,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,+,6,+,2] => [4,1,3,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,6,+,2] => [4,1,3,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,+,6,-,2] => [4,1,3,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,6,-,2] => [4,1,3,6,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,5,2,6,3] => [4,1,5,2,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,5,3,2,+] => [4,1,5,3,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,5,3,2,-] => [4,1,5,3,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,5,3,6,2] => [4,1,5,3,6,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,5,6,3,2] => [4,1,5,6,3,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,2,+,3] => [4,1,6,2,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,2,-,3] => [4,1,6,2,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,3,2,5] => [4,1,6,3,2,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,3,+,2] => [4,1,6,3,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,3,-,2] => [4,1,6,3,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,5,2,3] => [4,1,6,5,2,3] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,6,5,3,2] => [4,1,6,5,3,2] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,3,6,5] => [4,2,1,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,3,6,5] => [4,2,1,3,6,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,5,3,+] => [4,2,1,5,3,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,5,3,+] => [4,2,1,5,3,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,5,3,-] => [4,2,1,5,3,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,5,3,-] => [4,2,1,5,3,6] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,5,6,3] => [4,2,1,5,6,3] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,5,6,3] => [4,2,1,5,6,3] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,6,3,5] => [4,2,1,6,3,5] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,6,3,5] => [4,2,1,6,3,5] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,6,+,3] => [4,2,1,6,5,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,6,+,3] => [4,2,1,6,5,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,1,6,-,3] => [4,2,1,6,5,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,6,-,3] => [4,2,1,6,5,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,+,1,6,5] => [4,2,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,1,6,5] => [4,2,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,1,6,5] => [4,2,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,1,6,5] => [4,2,3,1,6,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,+,6,+,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,6,+,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,6,+,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,+,6,-,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,6,+,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,6,-,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,6,-,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,6,-,1] => [4,2,3,6,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,5,1,6,3] => [4,2,5,1,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,1,6,3] => [4,2,5,1,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,5,3,1,+] => [4,2,5,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,3,1,+] => [4,2,5,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,5,3,1,-] => [4,2,5,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,3,1,-] => [4,2,5,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,5,3,6,1] => [4,2,5,3,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,3,6,1] => [4,2,5,3,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,5,6,3,1] => [4,2,5,6,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,6,3,1] => [4,2,5,6,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,1,+,3] => [4,2,6,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,1,+,3] => [4,2,6,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,1,-,3] => [4,2,6,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,1,-,3] => [4,2,6,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,3,1,5] => [4,2,6,3,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,3,1,5] => [4,2,6,3,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,3,+,1] => [4,2,6,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,3,+,1] => [4,2,6,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,3,-,1] => [4,2,6,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,3,-,1] => [4,2,6,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,5,1,3] => [4,2,6,5,1,3] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,5,1,3] => [4,2,6,5,1,3] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,6,5,3,1] => [4,2,6,5,3,1] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,5,3,1] => [4,2,6,5,3,1] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,2,6,5] => [4,3,1,2,6,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,5,2,+] => [4,3,1,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,5,2,-] => [4,3,1,5,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,5,6,2] => [4,3,1,5,6,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,6,2,5] => [4,3,1,6,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,6,+,2] => [4,3,1,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,6,-,2] => [4,3,1,6,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,+,+] => [4,3,2,1,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,-,+] => [4,3,2,1,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,+,-] => [4,3,2,1,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,-,-] => [4,3,2,1,5,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,6,5] => [4,3,2,1,6,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,5,1,+] => [4,3,2,5,1,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,5,1,-] => [4,3,2,5,1,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,5,6,1] => [4,3,2,5,6,1] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,6,1,5] => [4,3,2,6,1,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,6,+,1] => [4,3,2,6,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,6,-,1] => [4,3,2,6,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,1,6,2] => [4,3,5,1,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,2,1,+] => [4,3,5,2,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,2,1,-] => [4,3,5,2,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,2,6,1] => [4,3,5,2,6,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,6,2,1] => [4,3,5,6,2,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,1,+,2] => [4,3,6,1,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,1,-,2] => [4,3,6,1,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,2,1,5] => [4,3,6,2,1,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,2,+,1] => [4,3,6,2,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,2,-,1] => [4,3,6,2,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,5,1,2] => [4,3,6,5,1,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,5,2,1] => [4,3,6,5,2,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,1,6,3,2] => [4,5,1,6,3,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,2,1,6,3] => [4,5,2,1,6,3] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,2,6,3,1] => [4,5,2,6,3,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,1,6,2] => [4,5,3,1,6,2] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,-,1,6,2] => [4,5,3,1,6,2] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,1,+] => [4,5,3,2,1,6] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,-,2,1,+] => [4,5,3,2,1,6] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,1,-] => [4,5,3,2,1,6] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,-,2,1,-] => [4,5,3,2,1,6] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,6,1] => [4,5,3,2,6,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,-,2,6,1] => [4,5,3,2,6,1] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,6,2,1] => [4,5,3,6,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,-,6,2,1] => [4,5,3,6,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,6,3,2,1] => [4,5,6,3,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,1,5,3,2] => [4,6,1,5,3,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,2,1,+,3] => [4,6,2,1,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,2,1,-,3] => [4,6,2,1,5,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,2,5,3,1] => [4,6,2,5,3,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,1,+,2] => [4,6,3,1,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,1,+,2] => [4,6,3,1,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,1,-,2] => [4,6,3,1,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,1,-,2] => [4,6,3,1,5,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,1,5] => [4,6,3,2,1,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,2,1,5] => [4,6,3,2,1,5] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,+,1] => [4,6,3,2,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,2,+,1] => [4,6,3,2,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,-,1] => [4,6,3,2,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,2,-,1] => [4,6,3,2,5,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,5,2,1] => [4,6,3,5,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,5,2,1] => [4,6,3,5,2,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,1,3,2] => [4,6,5,1,3,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,2,1,3] => [4,6,5,2,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,2,3,1] => [4,6,5,2,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,3,1,2] => [4,6,5,3,1,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,3,2,1] => [4,6,5,3,2,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,2,6,4,3] => [5,1,2,6,4,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,+,2,6,4] => [5,1,3,2,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,-,2,6,4] => [5,1,3,2,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,+,6,4,2] => [5,1,3,6,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,-,6,4,2] => [5,1,3,6,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,2,6,3] => [5,1,4,2,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,3,2,+] => [5,1,4,3,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,3,2,-] => [5,1,4,3,2,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,3,6,2] => [5,1,4,3,6,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,6,3,2] => [5,1,4,6,3,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,2,4,3] => [5,1,6,2,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,3,2,4] => [5,1,6,3,2,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,3,4,2] => [5,1,6,3,4,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,+,2,3] => [5,1,6,4,2,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,-,2,3] => [5,1,6,4,2,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,+,3,2] => [5,1,6,4,3,2] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,-,3,2] => [5,1,6,4,3,2] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,3,6,4] => [5,2,1,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,3,6,4] => [5,2,1,3,6,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,+,3,+] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,3,+] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,-,3,+] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,+,3,-] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,-,3,+] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,3,-] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,-,3,-] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,-,3,-] => [5,2,1,4,3,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,+,6,3] => [5,2,1,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,6,3] => [5,2,1,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,-,6,3] => [5,2,1,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,-,6,3] => [5,2,1,4,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,6,3,4] => [5,2,1,6,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,6,3,4] => [5,2,1,6,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,1,6,4,3] => [5,2,1,6,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,6,4,3] => [5,2,1,6,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,+,1,6,4] => [5,2,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,+,1,6,4] => [5,2,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,-,1,6,4] => [5,2,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,-,1,6,4] => [5,2,3,1,6,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,+,6,4,1] => [5,2,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,+,6,4,1] => [5,2,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,-,6,4,1] => [5,2,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,-,6,4,1] => [5,2,3,6,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,1,6,3] => [5,2,4,1,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,1,6,3] => [5,2,4,1,6,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,3,1,+] => [5,2,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,3,1,+] => [5,2,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,3,1,-] => [5,2,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,3,1,-] => [5,2,4,3,1,6] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,3,6,1] => [5,2,4,3,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,3,6,1] => [5,2,4,3,6,1] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,6,3,1] => [5,2,4,6,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,6,3,1] => [5,2,4,6,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,1,4,3] => [5,2,6,1,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,1,4,3] => [5,2,6,1,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,3,1,4] => [5,2,6,3,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,3,1,4] => [5,2,6,3,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,3,4,1] => [5,2,6,3,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,3,4,1] => [5,2,6,3,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,+,1,3] => [5,2,6,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,+,1,3] => [5,2,6,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,-,1,3] => [5,2,6,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,-,1,3] => [5,2,6,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,+,3,1] => [5,2,6,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,+,3,1] => [5,2,6,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,-,3,1] => [5,2,6,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,-,3,1] => [5,2,6,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,2,6,4] => [5,3,1,2,6,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,+,2,+] => [5,3,1,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,-,2,+] => [5,3,1,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,+,2,-] => [5,3,1,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,-,2,-] => [5,3,1,4,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,+,6,2] => [5,3,1,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,-,6,2] => [5,3,1,4,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,6,2,4] => [5,3,1,6,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,6,4,2] => [5,3,1,6,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,1,4,+] => [5,3,2,1,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,1,4,-] => [5,3,2,1,4,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,1,6,4] => [5,3,2,1,6,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,+,1,+] => [5,3,2,4,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,-,1,+] => [5,3,2,4,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,+,1,-] => [5,3,2,4,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,-,1,-] => [5,3,2,4,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,+,6,1] => [5,3,2,4,6,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,-,6,1] => [5,3,2,4,6,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,6,1,4] => [5,3,2,6,1,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,6,4,1] => [5,3,2,6,4,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,1,6,2] => [5,3,4,1,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,2,1,+] => [5,3,4,2,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,2,1,-] => [5,3,4,2,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,2,6,1] => [5,3,4,2,6,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,6,2,1] => [5,3,4,6,2,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,1,4,2] => [5,3,6,1,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,2,1,4] => [5,3,6,2,1,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,2,4,1] => [5,3,6,2,4,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,+,1,2] => [5,3,6,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,-,1,2] => [5,3,6,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,+,2,1] => [5,3,6,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,-,2,1] => [5,3,6,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,2,6,3] => [5,4,1,2,6,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,3,2,+] => [5,4,1,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,3,2,-] => [5,4,1,3,2,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,3,6,2] => [5,4,1,3,6,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,6,2,3] => [5,4,1,6,2,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,1,6,3,2] => [5,4,1,6,3,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,1,3,+] => [5,4,2,1,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,1,3,-] => [5,4,2,1,3,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,1,6,3] => [5,4,2,1,6,3] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,3,1,+] => [5,4,2,3,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,3,1,-] => [5,4,2,3,1,6] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,3,6,1] => [5,4,2,3,6,1] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,6,1,3] => [5,4,2,6,1,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,6,3,1] => [5,4,2,6,3,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,1,2,+] => [5,4,3,1,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,1,2,+] => [5,4,3,1,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,1,2,-] => [5,4,3,1,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,1,2,-] => [5,4,3,1,2,6] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,1,6,2] => [5,4,3,1,6,2] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,1,6,2] => [5,4,3,1,6,2] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,1,+] => [5,4,3,2,1,6] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,2,1,+] => [5,4,3,2,1,6] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,1,-] => [5,4,3,2,1,6] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,2,1,-] => [5,4,3,2,1,6] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,6,1] => [5,4,3,2,6,1] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,2,6,1] => [5,4,3,2,6,1] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,6,1,2] => [5,4,3,6,1,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,6,1,2] => [5,4,3,6,1,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,6,2,1] => [5,4,3,6,2,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,6,2,1] => [5,4,3,6,2,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,1,3,2] => [5,4,6,1,3,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,2,1,3] => [5,4,6,2,1,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,2,3,1] => [5,4,6,2,3,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,3,1,2] => [5,4,6,3,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,3,2,1] => [5,4,6,3,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,1,+,3,2] => [5,6,1,4,3,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,1,-,3,2] => [5,6,1,4,3,2] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,2,1,4,3] => [5,6,2,1,4,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,2,+,3,1] => [5,6,2,4,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,2,-,3,1] => [5,6,2,4,3,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,1,4,2] => [5,6,3,1,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,1,4,2] => [5,6,3,1,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,2,1,4] => [5,6,3,2,1,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,2,1,4] => [5,6,3,2,1,4] => [3,1,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,2,4,1] => [5,6,3,2,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,2,4,1] => [5,6,3,2,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,+,2,1] => [5,6,3,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,+,2,1] => [5,6,3,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,-,2,1] => [5,6,3,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,-,2,1] => [5,6,3,4,2,1] => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,4,1,3,2] => [5,6,4,1,3,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,4,2,1,3] => [5,6,4,2,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,4,2,3,1] => [5,6,4,2,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,4,3,1,2] => [5,6,4,3,1,2] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,4,3,2,1] => [5,6,4,3,2,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,2,5,4,3] => [6,1,2,5,4,3] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,+,2,+,4] => [6,1,3,2,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,-,2,+,4] => [6,1,3,2,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,+,2,-,4] => [6,1,3,2,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,-,2,-,4] => [6,1,3,2,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,+,5,4,2] => [6,1,3,5,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,-,5,4,2] => [6,1,3,5,4,2] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,2,+,3] => [6,1,4,2,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,2,-,3] => [6,1,4,2,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,3,2,5] => [6,1,4,3,2,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,3,+,2] => [6,1,4,3,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,3,-,2] => [6,1,4,3,5,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,4,5,3,2] => [6,1,4,5,3,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,2,4,3] => [6,1,5,2,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,3,2,4] => [6,1,5,3,2,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,3,4,2] => [6,1,5,3,4,2] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,+,2,3] => [6,1,5,4,2,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,-,2,3] => [6,1,5,4,2,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,+,3,2] => [6,1,5,4,3,2] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,-,3,2] => [6,1,5,4,3,2] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,3,+,4] => [6,2,1,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,3,+,4] => [6,2,1,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,3,-,4] => [6,2,1,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,3,-,4] => [6,2,1,3,5,4] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,+,3,5] => [6,2,1,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,+,3,5] => [6,2,1,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,-,3,5] => [6,2,1,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,-,3,5] => [6,2,1,4,3,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,+,+,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,+,+,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,-,+,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,+,-,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,-,+,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,+,-,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,-,-,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,-,-,3] => [6,2,1,4,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,5,3,4] => [6,2,1,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,5,3,4] => [6,2,1,5,3,4] => [2,1,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,1,5,4,3] => [6,2,1,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,5,4,3] => [6,2,1,5,4,3] => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,+,1,+,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,+,1,+,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,-,1,+,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,+,1,-,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,-,1,+,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,+,1,-,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,-,1,-,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,-,1,-,4] => [6,2,3,1,5,4] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,+,5,4,1] => [6,2,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,+,5,4,1] => [6,2,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,-,5,4,1] => [6,2,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,-,5,4,1] => [6,2,3,5,4,1] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,1,+,3] => [6,2,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,1,+,3] => [6,2,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,1,-,3] => [6,2,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,1,-,3] => [6,2,4,1,5,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,3,1,5] => [6,2,4,3,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,3,1,5] => [6,2,4,3,1,5] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,3,+,1] => [6,2,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,3,+,1] => [6,2,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,3,-,1] => [6,2,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,3,-,1] => [6,2,4,3,5,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,4,5,3,1] => [6,2,4,5,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,5,3,1] => [6,2,4,5,3,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,1,4,3] => [6,2,5,1,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,1,4,3] => [6,2,5,1,4,3] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,3,1,4] => [6,2,5,3,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,3,1,4] => [6,2,5,3,1,4] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,3,4,1] => [6,2,5,3,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,3,4,1] => [6,2,5,3,4,1] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,+,1,3] => [6,2,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,+,1,3] => [6,2,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,-,1,3] => [6,2,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,-,1,3] => [6,2,5,4,1,3] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,+,3,1] => [6,2,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,+,3,1] => [6,2,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,-,3,1] => [6,2,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,-,3,1] => [6,2,5,4,3,1] => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,2,+,4] => [6,3,1,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,2,-,4] => [6,3,1,2,5,4] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,+,2,5] => [6,3,1,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,-,2,5] => [6,3,1,4,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,+,+,2] => [6,3,1,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,-,+,2] => [6,3,1,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,+,-,2] => [6,3,1,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,-,-,2] => [6,3,1,4,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,5,2,4] => [6,3,1,5,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,5,4,2] => [6,3,1,5,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,1,4,5] => [6,3,2,1,4,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,1,+,4] => [6,3,2,1,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,1,-,4] => [6,3,2,1,5,4] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,+,1,5] => [6,3,2,4,1,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,-,1,5] => [6,3,2,4,1,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,+,+,1] => [6,3,2,4,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,-,+,1] => [6,3,2,4,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,+,-,1] => [6,3,2,4,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,-,-,1] => [6,3,2,4,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,5,1,4] => [6,3,2,5,1,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,5,4,1] => [6,3,2,5,4,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,1,+,2] => [6,3,4,1,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,1,-,2] => [6,3,4,1,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,2,1,5] => [6,3,4,2,1,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,2,+,1] => [6,3,4,2,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,2,-,1] => [6,3,4,2,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,4,5,2,1] => [6,3,4,5,2,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,1,4,2] => [6,3,5,1,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,2,1,4] => [6,3,5,2,1,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,2,4,1] => [6,3,5,2,4,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,+,1,2] => [6,3,5,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,-,1,2] => [6,3,5,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,+,2,1] => [6,3,5,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,-,2,1] => [6,3,5,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,2,+,3] => [6,4,1,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,2,-,3] => [6,4,1,2,5,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,3,2,5] => [6,4,1,3,2,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,3,+,2] => [6,4,1,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,3,-,2] => [6,4,1,3,5,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,5,2,3] => [6,4,1,5,2,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,1,5,3,2] => [6,4,1,5,3,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,1,3,5] => [6,4,2,1,3,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,1,+,3] => [6,4,2,1,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,1,-,3] => [6,4,2,1,5,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,3,1,5] => [6,4,2,3,1,5] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,3,+,1] => [6,4,2,3,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,3,-,1] => [6,4,2,3,5,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,5,1,3] => [6,4,2,5,1,3] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,2,5,3,1] => [6,4,2,5,3,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,1,2,5] => [6,4,3,1,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,2,5] => [6,4,3,1,2,5] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,1,+,2] => [6,4,3,1,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,+,2] => [6,4,3,1,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,1,-,2] => [6,4,3,1,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,-,2] => [6,4,3,1,5,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,1,5] => [6,4,3,2,1,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,2,1,5] => [6,4,3,2,1,5] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,+,1] => [6,4,3,2,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,2,+,1] => [6,4,3,2,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,-,1] => [6,4,3,2,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,2,-,1] => [6,4,3,2,5,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,5,1,2] => [6,4,3,5,1,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,5,1,2] => [6,4,3,5,1,2] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,5,2,1] => [6,4,3,5,2,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,5,2,1] => [6,4,3,5,2,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,1,3,2] => [6,4,5,1,3,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,2,1,3] => [6,4,5,2,1,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,2,3,1] => [6,4,5,2,3,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,3,1,2] => [6,4,5,3,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,3,2,1] => [6,4,5,3,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,2,4,3] => [6,5,1,2,4,3] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,3,2,4] => [6,5,1,3,2,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,3,4,2] => [6,5,1,3,4,2] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,+,2,3] => [6,5,1,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,-,2,3] => [6,5,1,4,2,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,+,3,2] => [6,5,1,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,-,3,2] => [6,5,1,4,3,2] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,1,3,4] => [6,5,2,1,3,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,1,4,3] => [6,5,2,1,4,3] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,3,1,4] => [6,5,2,3,1,4] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,3,4,1] => [6,5,2,3,4,1] => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,+,1,3] => [6,5,2,4,1,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,-,1,3] => [6,5,2,4,1,3] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,+,3,1] => [6,5,2,4,3,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,-,3,1] => [6,5,2,4,3,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,1,2,4] => [6,5,3,1,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,1,2,4] => [6,5,3,1,2,4] => [1,2,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,1,4,2] => [6,5,3,1,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,1,4,2] => [6,5,3,1,4,2] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,2,1,4] => [6,5,3,2,1,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,2,1,4] => [6,5,3,2,1,4] => [1,2,1,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,2,4,1] => [6,5,3,2,4,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,2,4,1] => [6,5,3,2,4,1] => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,+,1,2] => [6,5,3,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,+,1,2] => [6,5,3,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,-,1,2] => [6,5,3,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,-,1,2] => [6,5,3,4,1,2] => [1,3,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,+,2,1] => [6,5,3,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,+,2,1] => [6,5,3,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,-,2,1] => [6,5,3,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,-,2,1] => [6,5,3,4,2,1] => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,1,2,3] => [6,5,4,1,2,3] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[6,5,4,1,3,2] => [6,5,4,1,3,2] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,2,1,3] => [6,5,4,2,1,3] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,2,3,1] => [6,5,4,2,3,1] => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,3,1,2] => [6,5,4,3,1,2] => [1,1,2,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
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Description
The girth of a graph, which is not a tree.
This is the length of the shortest cycle in the graph.
This is the length of the shortest cycle in the graph.
Map
DEX composition
Description
The DEX composition of a permutation.
Let $\pi$ be a permutation in $\mathfrak S_n$. Let $\bar\pi$ be the word in the ordered set $\bar 1 < \dots < \bar n < 1 \dots < n$ obtained from $\pi$ by replacing every excedance $\pi(i) > i$ by $\overline{\pi(i)}$. Then the DEX set of $\pi$ is the set of indices $1 \leq i < n$ such that $\bar\pi(i) > \bar\pi(i+1)$. Finally, the DEX composition $c_1, \dots, c_k$ of $n$ corresponds to the DEX subset $\{c_1, c_1 + c_2, \dots, c_1 + \dots + c_{k-1}\}$.
The (quasi)symmetric function
$$ \sum_{\pi\in\mathfrak S_{\lambda, j}} F_{DEX(\pi)}, $$
where the sum is over the set of permutations of cycle type $\lambda$ with $j$ excedances, is the Eulerian quasisymmetric function.
Let $\pi$ be a permutation in $\mathfrak S_n$. Let $\bar\pi$ be the word in the ordered set $\bar 1 < \dots < \bar n < 1 \dots < n$ obtained from $\pi$ by replacing every excedance $\pi(i) > i$ by $\overline{\pi(i)}$. Then the DEX set of $\pi$ is the set of indices $1 \leq i < n$ such that $\bar\pi(i) > \bar\pi(i+1)$. Finally, the DEX composition $c_1, \dots, c_k$ of $n$ corresponds to the DEX subset $\{c_1, c_1 + c_2, \dots, c_1 + \dots + c_{k-1}\}$.
The (quasi)symmetric function
$$ \sum_{\pi\in\mathfrak S_{\lambda, j}} F_{DEX(\pi)}, $$
where the sum is over the set of permutations of cycle type $\lambda$ with $j$ excedances, is the Eulerian quasisymmetric function.
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
to threshold graph
Description
The threshold graph corresponding to the composition.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
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