Identifier
Values
[+] => [1] => [1] => ([],1) => 1
[-] => [1] => [1] => ([],1) => 1
[+,+] => [1,2] => [2] => ([],2) => 1
[-,+] => [2,1] => [1,1] => ([(0,1)],2) => 2
[+,-] => [1,2] => [2] => ([],2) => 1
[-,-] => [1,2] => [2] => ([],2) => 1
[2,1] => [1,2] => [2] => ([],2) => 1
[+,+,+] => [1,2,3] => [3] => ([],3) => 1
[-,+,+] => [2,3,1] => [2,1] => ([(0,2),(1,2)],3) => 2
[+,-,+] => [1,3,2] => [2,1] => ([(0,2),(1,2)],3) => 2
[+,+,-] => [1,2,3] => [3] => ([],3) => 1
[-,-,+] => [3,1,2] => [1,2] => ([(1,2)],3) => 2
[-,+,-] => [2,1,3] => [1,2] => ([(1,2)],3) => 2
[+,-,-] => [1,2,3] => [3] => ([],3) => 1
[-,-,-] => [1,2,3] => [3] => ([],3) => 1
[+,3,2] => [1,2,3] => [3] => ([],3) => 1
[-,3,2] => [2,1,3] => [1,2] => ([(1,2)],3) => 2
[2,1,+] => [1,3,2] => [2,1] => ([(0,2),(1,2)],3) => 2
[2,1,-] => [1,2,3] => [3] => ([],3) => 1
[2,3,1] => [1,2,3] => [3] => ([],3) => 1
[3,1,2] => [1,2,3] => [3] => ([],3) => 1
[3,+,1] => [2,1,3] => [1,2] => ([(1,2)],3) => 2
[3,-,1] => [1,3,2] => [2,1] => ([(0,2),(1,2)],3) => 2
[+,+,+,+] => [1,2,3,4] => [4] => ([],4) => 1
[-,+,+,+] => [2,3,4,1] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[+,-,+,+] => [1,3,4,2] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[+,+,-,+] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[+,+,+,-] => [1,2,3,4] => [4] => ([],4) => 1
[-,-,+,+] => [3,4,1,2] => [2,2] => ([(1,3),(2,3)],4) => 2
[-,+,-,+] => [2,4,1,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[-,+,+,-] => [2,3,1,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,-,-,+] => [1,4,2,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,-,+,-] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,+,-,-] => [1,2,3,4] => [4] => ([],4) => 1
[-,-,-,+] => [4,1,2,3] => [1,3] => ([(2,3)],4) => 2
[-,-,+,-] => [3,1,2,4] => [1,3] => ([(2,3)],4) => 2
[-,+,-,-] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[+,-,-,-] => [1,2,3,4] => [4] => ([],4) => 1
[-,-,-,-] => [1,2,3,4] => [4] => ([],4) => 1
[+,+,4,3] => [1,2,3,4] => [4] => ([],4) => 1
[-,+,4,3] => [2,3,1,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,-,4,3] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[-,-,4,3] => [3,1,2,4] => [1,3] => ([(2,3)],4) => 2
[+,3,2,+] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[-,3,2,+] => [2,4,1,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,3,2,-] => [1,2,3,4] => [4] => ([],4) => 1
[-,3,2,-] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[+,3,4,2] => [1,2,3,4] => [4] => ([],4) => 1
[-,3,4,2] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[+,4,2,3] => [1,2,3,4] => [4] => ([],4) => 1
[-,4,2,3] => [2,3,1,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[+,4,+,2] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[-,4,+,2] => [3,2,1,4] => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 3
[+,4,-,2] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[2,1,+,+] => [1,3,4,2] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[2,1,-,+] => [1,4,2,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[2,1,+,-] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[2,1,-,-] => [1,2,3,4] => [4] => ([],4) => 1
[2,1,4,3] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[2,3,1,+] => [1,4,2,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[2,3,1,-] => [1,2,3,4] => [4] => ([],4) => 1
[2,3,4,1] => [1,2,3,4] => [4] => ([],4) => 1
[2,4,1,3] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[2,4,+,1] => [3,1,2,4] => [1,3] => ([(2,3)],4) => 2
[2,4,-,1] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,2,+] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,2,-] => [1,2,3,4] => [4] => ([],4) => 1
[3,1,4,2] => [1,2,3,4] => [4] => ([],4) => 1
[3,+,1,-] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[3,-,1,-] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[3,+,4,1] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[3,-,4,1] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[3,4,1,2] => [1,2,3,4] => [4] => ([],4) => 1
[3,4,2,1] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[4,1,2,3] => [1,2,3,4] => [4] => ([],4) => 1
[4,1,+,2] => [1,3,2,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[4,1,-,2] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,+,1,3] => [2,1,3,4] => [1,3] => ([(2,3)],4) => 2
[4,-,1,3] => [1,3,4,2] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,+,+,1] => [2,3,1,4] => [2,2] => ([(1,3),(2,3)],4) => 2
[4,-,-,1] => [1,4,2,3] => [2,2] => ([(1,3),(2,3)],4) => 2
[4,3,1,2] => [1,2,4,3] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[+,+,+,+,+] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,+,+,+,+] => [2,3,4,5,1] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,-,+,+,+] => [1,3,4,5,2] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,-,+,+] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,+,-,+] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,+,+,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,-,+,+,+] => [3,4,5,1,2] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,+,-,+,+] => [2,4,5,1,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,+,+,-,+] => [2,3,5,1,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,+,+,+,-] => [2,3,4,1,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,-,+,+] => [1,4,5,2,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,+,-,+] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,+,+,-] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,-,-,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,-,+,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,+,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,-,-,+,+] => [4,5,1,2,3] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,-,+,-,+] => [3,5,1,2,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,-,+,+,-] => [3,4,1,2,5] => [2,3] => ([(2,4),(3,4)],5) => 2
>>> Load all 1124 entries. <<<
[-,+,-,-,+] => [2,5,1,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,+,-,+,-] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,+,+,-,-] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,-,-,+] => [1,5,2,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,-,+,-] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,+,-,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,+,-,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,-,-,-,+] => [5,1,2,3,4] => [1,4] => ([(3,4)],5) => 2
[-,-,-,+,-] => [4,1,2,3,5] => [1,4] => ([(3,4)],5) => 2
[-,-,+,-,-] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[-,+,-,-,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[+,-,-,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,-,-,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[+,+,+,5,4] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,+,+,5,4] => [2,3,4,1,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,+,5,4] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,-,5,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,-,+,5,4] => [3,4,1,2,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,+,-,5,4] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,-,5,4] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,-,-,5,4] => [4,1,2,3,5] => [1,4] => ([(3,4)],5) => 2
[+,+,4,3,+] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[-,+,4,3,+] => [2,3,5,1,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,4,3,+] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,4,3,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,-,4,3,+] => [3,5,1,2,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,+,4,3,-] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,4,3,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,-,4,3,-] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[+,+,4,5,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,+,4,5,3] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,-,4,5,3] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,-,4,5,3] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[+,+,5,3,4] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,+,5,3,4] => [2,3,4,1,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,5,3,4] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,-,5,3,4] => [3,4,1,2,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,+,5,+,3] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,5,-,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[-,-,5,+,3] => [4,3,1,2,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,3,2,+,+] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[-,3,2,+,+] => [2,4,5,1,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,3,2,-,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,3,2,+,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,3,2,-,+] => [2,5,1,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,3,2,+,-] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,3,2,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,3,2,-,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[+,3,2,5,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,3,2,5,4] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,3,4,2,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,3,4,2,+] => [2,5,1,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,3,4,2,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,3,4,2,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[+,3,4,5,2] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,3,4,5,2] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[+,3,5,2,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[-,3,5,2,4] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,3,5,+,2] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,3,5,+,2] => [4,2,1,3,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,3,5,-,2] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,4,2,3,+] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[-,4,2,3,+] => [2,3,5,1,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,4,2,3,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,4,2,3,-] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,4,2,5,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,4,2,5,3] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,4,+,2,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,4,+,2,-] => [3,2,1,4,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,4,-,2,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,4,+,5,2] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,4,+,5,2] => [3,2,1,4,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,4,-,5,2] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,4,5,2,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,4,5,2,3] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,4,5,3,2] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[-,4,5,3,2] => [3,2,1,4,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[+,5,2,3,4] => [1,2,3,4,5] => [5] => ([],5) => 1
[-,5,2,3,4] => [2,3,4,1,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,5,2,+,3] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,5,2,-,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,5,+,2,4] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[+,5,-,2,4] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,5,+,+,2] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,5,-,-,2] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[+,5,4,2,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,1,+,+,+] => [1,3,4,5,2] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,1,-,+,+] => [1,4,5,2,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,+,-,+] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,+,+,-] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,-,-,+] => [1,5,2,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,-,+,-] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,+,-,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,-,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[2,1,+,5,4] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,-,5,4] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,4,3,+] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,4,3,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,4,5,3] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,5,3,4] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,3,1,+,+] => [1,4,5,2,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,3,1,-,+] => [1,5,2,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,1,+,-] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,1,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[2,3,1,5,4] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,4,1,+] => [1,5,2,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,4,1,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[2,3,4,5,1] => [1,2,3,4,5] => [5] => ([],5) => 1
[2,3,5,1,4] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,5,+,1] => [4,1,2,3,5] => [1,4] => ([(3,4)],5) => 2
[2,3,5,-,1] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,4,1,3,+] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,1,3,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,4,1,5,3] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,4,+,1,-] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[2,4,-,1,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,+,5,1] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[2,4,-,5,1] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,5,1,3] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,4,5,3,1] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[2,5,1,3,4] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,5,+,+,1] => [3,4,1,2,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[2,5,-,-,1] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,+,+] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,1,2,-,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,+,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,-,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,1,2,5,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,4,2,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,4,2,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,1,4,5,2] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,1,5,2,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,5,+,2] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,1,5,-,2] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,+,1,-,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,-,1,-,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,+,4,1,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,-,4,1,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,+,4,5,1] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,-,4,5,1] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,+,5,+,1] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,4,1,2,+] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,4,1,2,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,4,1,5,2] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,4,2,1,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,4,2,5,1] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,4,5,1,2] => [1,2,3,4,5] => [5] => ([],5) => 1
[3,4,5,2,1] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[3,5,1,2,4] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,5,1,+,2] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,5,1,-,2] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,5,2,+,1] => [2,4,1,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[3,5,4,1,2] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,2,3,+] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,2,3,-] => [1,2,3,4,5] => [5] => ([],5) => 1
[4,1,2,5,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[4,1,+,2,-] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,1,-,2,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,1,+,5,2] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,1,-,5,2] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,1,5,2,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[4,1,5,3,2] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,+,1,3,-] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[4,-,1,3,-] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,+,1,5,3] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[4,-,1,5,3] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,+,+,1,-] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,-,-,1,-] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,+,+,5,1] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,-,-,5,1] => [1,4,2,3,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,+,5,1,3] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[4,-,5,1,3] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,+,5,3,1] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,3,1,2,-] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,3,1,5,2] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,3,5,1,2] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,5,1,2,3] => [1,2,3,4,5] => [5] => ([],5) => 1
[4,5,1,3,2] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,5,2,1,3] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[4,5,2,3,1] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[4,5,+,1,2] => [3,1,2,4,5] => [1,4] => ([(3,4)],5) => 2
[4,5,-,1,2] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,5,+,2,1] => [3,2,1,4,5] => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[5,1,2,3,4] => [1,2,3,4,5] => [5] => ([],5) => 1
[5,1,2,+,3] => [1,2,4,3,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,1,2,-,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,+,2,4] => [1,3,2,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[5,1,-,2,4] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,+,+,2] => [1,3,4,2,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,1,-,-,2] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,1,4,2,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,+,1,3,4] => [2,1,3,4,5] => [1,4] => ([(3,4)],5) => 2
[5,-,1,3,4] => [1,3,4,5,2] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,-,1,-,3] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,+,+,1,4] => [2,3,1,4,5] => [2,3] => ([(2,4),(3,4)],5) => 2
[5,-,-,1,4] => [1,4,5,2,3] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,+,+,+,1] => [2,3,4,1,5] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,-,-,-,1] => [1,5,2,3,4] => [2,3] => ([(2,4),(3,4)],5) => 2
[5,-,4,1,3] => [1,3,5,2,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,3,1,2,4] => [1,2,4,5,3] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,3,1,-,2] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,3,4,1,2] => [1,2,5,3,4] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,4,1,2,3] => [1,2,3,5,4] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,+,+,+,+] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,+,+,+,+] => [2,3,4,5,6,1] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,+,+] => [1,3,4,5,6,2] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,+,+] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,+,+] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,-,+] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,+,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,+,+,+,+] => [3,4,5,6,1,2] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,-,+,+,+] => [2,4,5,6,1,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,+,-,+,+] => [2,3,5,6,1,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,+,+,-,+] => [2,3,4,6,1,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,+,+,+,-] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,-,+,+,+] => [1,4,5,6,2,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,-,+,+] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,-,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,+,-] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,-,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,+,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,-,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,+,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,-,+,+,+] => [4,5,6,1,2,3] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,-,+,+] => [3,5,6,1,2,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,+,-,+] => [3,4,6,1,2,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,+,+,-] => [3,4,5,1,2,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,-,+,+] => [2,5,6,1,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,+,-,+] => [2,4,6,1,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,+,+,-] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,+,-,-,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,+,-,+,-] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,+,+,-,-] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,-,+,+] => [1,5,6,2,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,+,-,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,+,+,-] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,-,-,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,-,+,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,-,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,-,-,+,+] => [5,6,1,2,3,4] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,-,+,-,+] => [4,6,1,2,3,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,-,+,+,-] => [4,5,1,2,3,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,+,-,-,+] => [3,6,1,2,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,+,-,+,-] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,+,+,-,-] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,-,-,+] => [2,6,1,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,-,+,-] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,+,-,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,+,-,-,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,-,-,+] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,-,+,-] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,+,-,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,+,-,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,-,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,-,-,-,+] => [6,1,2,3,4,5] => [1,5] => ([(4,5)],6) => 2
[-,-,-,-,+,-] => [5,1,2,3,4,6] => [1,5] => ([(4,5)],6) => 2
[-,-,-,+,-,-] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[-,-,+,-,-,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[-,+,-,-,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,-,-,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,-,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[+,+,+,+,6,5] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,+,+,6,5] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,6,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,6,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,6,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,+,+,6,5] => [3,4,5,1,2,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,+,6,5] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,+,-,6,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,+,6,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,-,6,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,-,+,6,5] => [4,5,1,2,3,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,+,-,6,5] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,-,6,5] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,-,6,5] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,-,-,6,5] => [5,1,2,3,4,6] => [1,5] => ([(4,5)],6) => 2
[+,+,+,5,4,+] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,+,5,4,+] => [2,3,4,6,1,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,5,4,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,5,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,5,4,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,+,5,4,+] => [3,4,6,1,2,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,5,4,+] => [2,4,6,1,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,+,5,4,-] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,5,4,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,5,4,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,5,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,-,5,4,+] => [4,6,1,2,3,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,+,5,4,-] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,5,4,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,5,4,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,-,5,4,-] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[+,+,+,5,6,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,+,5,6,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,5,6,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,5,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,5,6,4] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,-,5,6,4] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,-,5,6,4] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,-,5,6,4] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[+,+,+,6,4,5] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,+,6,4,5] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,+,6,4,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,6,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,+,6,4,5] => [3,4,5,1,2,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,-,6,4,5] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,-,6,4,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,-,6,4,5] => [4,5,1,2,3,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,+,6,+,4] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,6,-,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,-,6,+,4] => [5,4,1,2,3,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,+,4,3,+,+] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,4,3,+,+] => [2,3,5,6,1,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,4,3,+,+] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,4,3,-,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,4,3,+,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,4,3,+,+] => [3,5,6,1,2,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,4,3,-,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,4,3,+,-] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,4,3,-,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,4,3,+,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,4,3,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,4,3,-,+] => [3,6,1,2,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,4,3,+,-] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,4,3,-,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,4,3,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,4,3,-,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,+,4,3,6,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,4,3,6,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,4,3,6,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,4,3,6,5] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,4,5,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,4,5,3,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,4,5,3,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,4,5,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,4,5,3,+] => [3,6,1,2,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,+,4,5,3,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,4,5,3,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,4,5,3,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,+,4,5,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,4,5,6,3] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,-,4,5,6,3] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,-,4,5,6,3] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,+,4,6,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,4,6,3,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,4,6,3,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,4,6,3,5] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,4,6,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,4,6,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,4,6,+,3] => [5,3,1,2,4,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,+,5,3,4,+] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,+,5,3,4,+] => [2,3,4,6,1,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,5,3,4,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,5,3,4,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,-,5,3,4,+] => [3,4,6,1,2,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,5,3,4,-] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,5,3,4,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,5,3,4,-] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,5,3,6,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,5,3,6,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,5,3,6,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,5,3,6,4] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,5,+,3,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,5,-,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,5,+,3,-] => [4,3,1,2,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,+,5,+,6,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,5,-,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,5,+,6,3] => [4,3,1,2,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,+,5,6,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,5,6,3,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,5,6,3,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,5,6,3,4] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,+,5,6,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,5,6,4,3] => [4,3,1,2,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,+,6,3,4,5] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,+,6,3,4,5] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,-,6,3,4,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,-,6,3,4,5] => [3,4,5,1,2,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,6,3,+,4] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,6,3,-,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,6,+,3,5] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,6,-,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,6,+,+,3] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,6,-,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,6,5,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,2,+,+,+] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,2,+,+,+] => [2,4,5,6,1,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,2,-,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,2,+,-,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,2,+,+,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,2,-,+,+] => [2,5,6,1,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,+,-,+] => [2,4,6,1,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,+,+,-] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,2,-,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,2,-,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,2,+,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,-,-,+] => [2,6,1,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,2,-,+,-] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,2,+,-,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,2,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,3,2,-,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,3,2,+,6,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,2,+,6,5] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,2,-,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,-,6,5] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,2,5,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,2,5,4,+] => [2,4,6,1,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,2,5,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,5,4,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,2,5,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,2,5,6,4] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,2,6,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,2,6,4,5] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,4,2,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,4,2,+,+] => [2,5,6,1,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,4,2,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,4,2,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,4,2,-,+] => [2,6,1,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,4,2,+,-] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,4,2,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,3,4,2,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,3,4,2,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,4,2,6,5] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,4,5,2,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,4,5,2,+] => [2,6,1,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,4,5,2,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,3,4,5,2,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,3,4,5,6,2] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,3,4,5,6,2] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[+,3,4,6,2,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,4,6,2,5] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,4,6,+,2] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,4,6,+,2] => [5,2,1,3,4,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,3,4,6,-,2] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,5,2,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,5,2,4,+] => [2,4,6,1,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,5,2,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,5,2,4,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,5,2,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,5,2,6,4] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,5,+,2,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,5,+,2,-] => [4,2,1,3,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,3,5,-,2,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,5,+,6,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,5,+,6,2] => [4,2,1,3,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,3,5,-,6,2] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,3,5,6,2,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,3,5,6,2,4] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,3,5,6,4,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,3,5,6,4,2] => [4,2,1,3,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,3,6,2,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,3,6,2,4,5] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,6,+,+,2] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,3,6,-,-,2] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,4,2,3,+,+] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,2,3,+,+] => [2,3,5,6,1,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,4,2,3,-,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,4,2,3,+,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,2,3,-,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[-,4,2,3,+,-] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,2,3,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,2,3,-,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,2,3,6,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,2,3,6,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,2,5,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,2,5,3,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,2,5,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,2,5,3,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,2,5,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,2,5,6,3] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,2,6,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,2,6,3,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,2,6,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,2,6,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,4,+,2,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,+,2,-,-] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,+,5,2,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,+,5,2,-] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,-,5,2,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,+,5,6,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,+,5,6,2] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,-,5,6,2] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,+,6,+,2] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,5,2,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,5,2,3,+] => [2,3,6,1,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,5,2,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,5,2,3,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,5,2,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,5,2,6,3] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,5,3,2,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,5,3,2,-] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,5,3,6,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,5,3,6,2] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,5,6,2,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,4,5,6,2,3] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,4,5,6,3,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[-,4,5,6,3,2] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[+,4,6,2,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,4,6,2,3,5] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,6,2,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,6,2,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,4,6,3,+,2] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,4,6,5,2,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,2,3,4,+] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,5,2,3,4,+] => [2,3,4,6,1,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,2,3,4,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,5,2,3,4,-] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,2,3,6,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,5,2,3,6,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,2,+,3,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,2,-,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,2,+,6,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,2,-,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,2,6,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,5,2,6,3,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,2,6,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,+,2,4,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,5,-,2,4,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,+,2,6,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,5,-,2,6,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,+,+,2,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,-,-,2,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,+,+,6,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,-,-,6,2] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,+,6,2,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,5,-,6,2,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,+,6,4,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,4,2,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,4,2,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,4,6,2,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,5,6,2,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,5,6,2,3,4] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,6,2,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,6,3,2,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,5,6,3,4,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,5,6,+,2,3] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,5,6,-,2,3] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[-,5,6,+,3,2] => [4,3,2,1,5,6] => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[+,6,2,3,4,5] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[-,6,2,3,4,5] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,3,+,4] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,3,-,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,+,3,5] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,6,2,-,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,+,+,3] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,-,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,2,5,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,+,2,4,5] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[+,6,-,2,4,5] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,-,2,-,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,+,+,2,5] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,6,-,-,2,5] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,+,+,+,2] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,-,-,-,2] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[+,6,-,5,2,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,4,2,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,4,2,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,4,5,2,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,6,5,2,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,+,+] => [1,3,4,5,6,2] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,-,+,+,+] => [1,4,5,6,2,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,-,+,+] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,-,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,+,-] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,-,-,+,+] => [1,5,6,2,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,+,-,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,+,+,-] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,+,-,-,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,+,-,+,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,-,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,-,-,+] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,-,-,+,-] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,-,+,-,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,+,-,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,-,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[2,1,+,+,6,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,-,+,6,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,+,-,6,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,-,6,5] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,+,5,4,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,-,5,4,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,+,5,4,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,5,4,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,+,5,6,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,5,6,4] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,+,6,4,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,-,6,4,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,4,3,+,+] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,4,3,-,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,4,3,+,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,4,3,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,4,3,6,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,4,5,3,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,4,5,3,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,4,5,6,3] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,4,6,3,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,5,3,4,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,5,3,4,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,5,3,6,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,5,6,3,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,6,3,4,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,1,+,+,+] => [1,4,5,6,2,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,1,-,+,+] => [1,5,6,2,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,+,-,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,+,+,-] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,-,-,+] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,-,+,-] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,+,-,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[2,3,1,+,6,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,-,6,5] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,5,4,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,5,4,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,5,6,4] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,6,4,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,4,1,+,+] => [1,5,6,2,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,4,1,-,+] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,4,1,+,-] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,4,1,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[2,3,4,1,6,5] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,4,5,1,+] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,4,5,1,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,4,6,+,1] => [5,1,2,3,4,6] => [1,5] => ([(4,5)],6) => 2
[2,3,4,6,-,1] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,4,+] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,4,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,5,1,6,4] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,5,+,1,-] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[2,3,5,-,1,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,+,6,1] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[2,3,5,-,6,1] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,5,6,4,1] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,6,+,+,1] => [4,5,1,2,3,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,6,-,-,1] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,+,+] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,-,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,+,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,1,3,6,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,5,3,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,5,3,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,1,5,6,3] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,1,6,3,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,+,1,-,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,-,1,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,+,5,1,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,-,5,1,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,+,5,6,1] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,-,5,6,1] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,+,6,+,1] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,5,1,3,+] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,1,3,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,5,1,6,3] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,5,3,1,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,5,3,6,1] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,4,5,6,3,1] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,6,3,+,1] => [3,5,1,2,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,5,1,3,4,+] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,1,3,4,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,1,3,6,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,1,6,3,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,+,+,1,-] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,5,-,-,1,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,+,+,6,1] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,5,-,-,6,1] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,+,6,4,1] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,6,3,4,1] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[2,5,6,+,3,1] => [4,3,1,2,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,+,+,+,1] => [3,4,5,1,2,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,-,-,-,1] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,+,+] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,-,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,+,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,1,2,+,6,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,5,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,5,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,5,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,6,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,4,2,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,4,2,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,2,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,2,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,1,4,2,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,5,2,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,5,2,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,1,4,5,6,2] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,1,4,6,2,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,6,+,2] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,1,4,6,-,2] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,2,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,2,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,5,2,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,5,+,2,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,1,5,-,2,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,+,6,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,1,5,-,6,2] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,6,2,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,5,6,4,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,1,6,2,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,6,+,+,2] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,6,-,-,2] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,+,1,-,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,-,1,-,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,4,1,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,-,4,1,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,4,5,1,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,-,4,5,1,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,4,5,6,1] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,-,4,5,6,1] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,4,6,+,1] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,5,+,1,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,5,+,6,1] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,5,6,4,1] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,+,6,+,+,1] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,2,+,+] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,1,2,-,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,2,+,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,2,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,1,2,6,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,5,2,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,5,2,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,1,5,6,2] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,1,6,2,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,1,6,+,2] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,1,6,-,2] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,2,1,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,2,5,1,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,2,5,6,1] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,2,6,+,1] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,5,1,2,+] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,5,1,2,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,5,1,6,2] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,5,2,1,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,5,2,6,1] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[3,4,5,6,2,1] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,6,1,+,2] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,6,1,-,2] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,6,2,+,1] => [2,5,1,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,1,2,4,+] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,1,2,4,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,1,2,6,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,1,+,2,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,1,-,2,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,1,+,6,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,1,-,6,2] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,1,6,2,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,1,6,4,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,2,+,1,-] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,2,+,6,1] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,2,6,4,1] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,4,1,2,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,4,1,6,2] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,6,2,4,1] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,6,+,1,2] => [4,1,2,3,5,6] => [1,5] => ([(4,5)],6) => 2
[3,5,6,-,1,2] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,6,+,2,1] => [4,2,1,3,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,1,+,+,2] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,6,1,-,-,2] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,2,+,+,1] => [2,4,5,1,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,6,4,1,-,2] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,+,+] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,-,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,+,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,-,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,2,3,6,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,5,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,5,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,2,5,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,2,6,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,6,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,2,6,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,+,2,-,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,-,2,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,+,5,2,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,-,5,2,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,+,5,6,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,-,5,6,2] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,+,6,+,2] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,5,2,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,5,2,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,5,2,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,5,3,2,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,5,3,6,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,5,6,2,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,1,5,6,3,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,1,6,2,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,6,2,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,6,2,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,6,3,+,2] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,6,5,2,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,+,1,3,-,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,1,3,-,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,1,5,3,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,1,5,3,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,1,5,6,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,1,5,6,3] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,+,1,-,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,-,-,1,-,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,+,5,1,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,-,-,5,1,-] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,+,5,6,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,-,-,5,6,1] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,+,6,+,1] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,5,1,3,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,5,1,3,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,5,1,6,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,5,1,6,3] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,5,3,1,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,5,3,6,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,5,6,1,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,-,5,6,1,3] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,+,5,6,3,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,+,6,3,+,1] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,1,2,-,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,1,5,2,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,1,5,6,2] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,5,1,2,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,5,1,6,2] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,5,6,1,2] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,5,1,2,3,+] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,1,2,3,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,5,1,2,6,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,5,1,3,2,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,1,3,6,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,1,6,2,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,5,1,6,3,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,2,1,3,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,2,1,6,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,2,3,1,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,2,3,6,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,2,6,1,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,2,6,3,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,+,1,2,-] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,-,1,2,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,+,1,6,2] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,-,1,6,2] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,+,2,1,-] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,6,1] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,+,6,1,2] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,-,6,1,2] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,+,6,2,1] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,6,2,1,3] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,6,2,3,1] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,6,3,1,2] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[4,5,6,3,2,1] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,1,2,+,3] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,6,1,2,-,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,1,3,+,2] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,6,1,5,2,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,2,3,+,1] => [2,3,5,1,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,6,-,1,-,2] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,-,5,1,2] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,3,4,+] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,3,4,-] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[5,1,2,3,6,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[5,1,2,+,3,-] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,2,-,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,+,6,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,2,-,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,6,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[5,1,2,6,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,+,2,4,-] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,1,-,2,4,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,2,6,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,1,-,2,6,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,+,2,-] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,-,-,2,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,+,+,6,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,-,-,6,2] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,+,6,2,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,1,-,6,2,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,6,4,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,4,2,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,4,2,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,4,6,2,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,6,2,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[5,1,6,2,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,6,3,2,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,1,6,3,4,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,6,+,2,3] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,1,6,-,2,3] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,1,3,4,-] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,-,1,3,4,-] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,1,3,6,4] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,-,1,3,6,4] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,-,1,-,3,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,1,-,6,3] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,1,6,3,4] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,-,1,6,3,4] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,+,1,4,-] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,-,-,1,4,-] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,+,1,6,4] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,-,-,1,6,4] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,+,+,1,-] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,-,-,1,-] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,+,+,+,6,1] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,-,-,6,1] => [1,5,2,3,4,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,+,+,6,1,4] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,-,-,6,1,4] => [1,4,5,2,3,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,+,6,4,1] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,4,1,3,-] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,4,1,6,3] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,-,4,6,1,3] => [1,3,5,2,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,6,1,3,4] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,-,6,1,3,4] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,6,3,1,4] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,+,6,3,4,1] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,+,6,+,1,3] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,3,1,2,4,-] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,2,6,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,-,2,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,1,-,6,2] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,1,6,2,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,4,1,2,-] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,4,1,6,2] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,4,6,1,2] => [1,2,5,3,4,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,6,1,2,4] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,2,3,-] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,2,6,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,6,2,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,6,1,2,3] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,6,1,+,2,3] => [1,4,2,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,1,-,2,3] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,2,1,3,4] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,6,2,3,1,4] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,2,3,4,1] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,6,2,+,1,3] => [2,4,1,3,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,+,1,2,4] => [3,1,2,4,5,6] => [1,5] => ([(4,5)],6) => 2
[5,6,-,1,2,4] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,+,2,1,4] => [3,2,1,4,5,6] => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[5,6,+,+,1,2] => [3,4,1,2,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,-,-,1,2] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,4,1,2,3] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [6] => ([],6) => 1
[6,1,2,3,+,4] => [1,2,3,5,4,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,3,-,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,+,3,5] => [1,2,4,3,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,1,2,-,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,+,+,3] => [1,2,4,5,3,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,-,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,5,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,2,4,5] => [1,3,2,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[6,1,-,2,4,5] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,-,2,-,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,+,2,5] => [1,3,4,2,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,1,-,-,2,5] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,+,+,2] => [1,3,4,5,2,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,-,-,-,2] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,1,-,5,2,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,2,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,2,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,5,2,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,5,2,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,1,3,4,5] => [2,1,3,4,5,6] => [1,5] => ([(4,5)],6) => 2
[6,-,1,3,4,5] => [1,3,4,5,6,2] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,1,3,-,4] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,1,-,3,5] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,1,-,-,3] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,-,1,5,3,4] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,+,1,4,5] => [2,3,1,4,5,6] => [2,4] => ([(3,5),(4,5)],6) => 2
[6,-,-,1,4,5] => [1,4,5,6,2,3] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,-,1,-,4] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,+,+,+,1,5] => [2,3,4,1,5,6] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,-,-,-,1,5] => [1,5,6,2,3,4] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,+,+,+,+,1] => [2,3,4,5,1,6] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,-,-,-,1] => [1,6,2,3,4,5] => [2,4] => ([(3,5),(4,5)],6) => 2
[6,-,-,5,1,4] => [1,4,6,2,3,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,-,4,1,3,5] => [1,3,5,6,2,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,4,1,-,3] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,-,4,5,1,3] => [1,3,6,2,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,-,5,1,3,4] => [1,3,4,6,2,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,2,4,5] => [1,2,4,5,6,3] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,2,-,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,-,2,5] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,-,-,2] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,3,1,5,2,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,4,1,2,5] => [1,2,5,6,3,4] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,4,1,-,2] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => [1,2,6,3,4,5] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,3,5,1,2,4] => [1,2,4,6,3,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,2,3,5] => [1,2,3,5,6,4] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,2,-,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,5,2,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,5,1,2,3] => [1,2,3,6,4,5] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,1,2,3,4] => [1,2,3,4,6,5] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
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Description
The hat guessing number of a graph.
Suppose that each vertex of a graph corresponds to a player, wearing a hat whose color is arbitrarily chosen from a set of $q$ possible colors. Each player can see the hat colors of his neighbors, but not his own hat color. All of the players are asked to guess their own hat colors simultaneously, according to a predetermined guessing strategy and the hat colors they see, where no communication between them is allowed. The hat guessing number $HG(G)$ of a graph $G$ is the largest integer $q$ such that there exists a guessing strategy guaranteeing at least one correct guess for any hat assignment of $q$ possible colors.
Because it suffices that a single player guesses correctly, the hat guessing number of a graph is the maximum of the hat guessing numbers of its connected components.
Map
lower permutation
Description
The lower bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
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.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.