Identifier
Values
[2,1] => ([(0,1)],2) => ([],1) => 0
[1,3,2] => ([(1,2)],3) => ([],1) => 0
[2,1,3] => ([(1,2)],3) => ([],1) => 0
[2,3,1] => ([(0,2),(1,2)],3) => ([(0,1)],2) => 0
[3,1,2] => ([(0,2),(1,2)],3) => ([(0,1)],2) => 0
[3,2,1] => ([(0,1),(0,2),(1,2)],3) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,4,3] => ([(2,3)],4) => ([],1) => 0
[1,3,2,4] => ([(2,3)],4) => ([],1) => 0
[1,3,4,2] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[1,4,2,3] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 0
[2,1,3,4] => ([(2,3)],4) => ([],1) => 0
[2,1,4,3] => ([(0,3),(1,2)],4) => ([],2) => 0
[2,3,1,4] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 0
[2,4,1,3] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(1,2)],3) => 0
[2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,1,2,4] => ([(1,3),(2,3)],4) => ([(0,1)],2) => 0
[3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(1,2)],3) => 0
[3,2,1,4] => ([(1,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 0
[3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,2)],3) => 0
[4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,2,3,5,4] => ([(3,4)],5) => ([],1) => 0
[1,2,4,3,5] => ([(3,4)],5) => ([],1) => 0
[1,2,4,5,3] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,2,5,3,4] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[1,3,2,4,5] => ([(3,4)],5) => ([],1) => 0
[1,3,2,5,4] => ([(1,4),(2,3)],5) => ([],2) => 0
[1,3,4,2,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => ([(0,2),(1,2)],3) => 0
[1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,2,3,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => ([(0,2),(1,2)],3) => 0
[1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[2,1,3,4,5] => ([(3,4)],5) => ([],1) => 0
[2,1,3,5,4] => ([(1,4),(2,3)],5) => ([],2) => 0
[2,1,4,3,5] => ([(1,4),(2,3)],5) => ([],2) => 0
[2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5) => ([(1,2)],3) => 0
[2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => ([(1,2)],3) => 0
[2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => ([(1,2),(1,3),(2,3)],4) => 0
[2,3,1,4,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5) => ([(1,2)],3) => 0
[2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5) => ([(0,2),(1,2)],3) => 0
[2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,3),(1,2),(2,3)],4) => 0
[2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,4,5] => ([(2,4),(3,4)],5) => ([(0,1)],2) => 0
[3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => ([(1,2)],3) => 0
[3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => ([(0,2),(1,2)],3) => 0
[3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,3),(1,2),(2,3)],4) => 0
[3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,2)],3) => 0
[4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
>>> Load all 978 entries. <<<[4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,3,4,6,5] => ([(4,5)],6) => ([],1) => 0
[1,2,3,5,4,6] => ([(4,5)],6) => ([],1) => 0
[1,2,3,5,6,4] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,6,4,5] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,4,3,5,6] => ([(4,5)],6) => ([],1) => 0
[1,2,4,3,6,5] => ([(2,5),(3,4)],6) => ([],2) => 0
[1,2,4,5,3,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,5,3,4,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,3,2,4,5,6] => ([(4,5)],6) => ([],1) => 0
[1,3,2,4,6,5] => ([(2,5),(3,4)],6) => ([],2) => 0
[1,3,2,5,4,6] => ([(2,5),(3,4)],6) => ([],2) => 0
[1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,4,2,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 0
[1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,3,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 0
[1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,3,4,5,6] => ([(4,5)],6) => ([],1) => 0
[2,1,3,4,6,5] => ([(2,5),(3,4)],6) => ([],2) => 0
[2,1,3,5,4,6] => ([(2,5),(3,4)],6) => ([],2) => 0
[2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,4,3,5,6] => ([(2,5),(3,4)],6) => ([],2) => 0
[2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => ([],3) => 0
[2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(1,3),(2,3)],4) => 0
[2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(1,3),(2,3)],4) => 0
[2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,3,1,4,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => 0
[2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => 0
[2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(1,3),(2,3)],4) => 0
[2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 0
[2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,4,5,6] => ([(3,5),(4,5)],6) => ([(0,1)],2) => 0
[3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => ([(1,2)],3) => 0
[3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => 0
[3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => ([(0,3),(1,2)],4) => 0
[3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => ([(0,2),(1,2)],3) => 0
[3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => ([(1,3),(2,3)],4) => 0
[3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(0,3),(1,2),(2,3)],4) => 0
[3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,2)],3) => 0
[4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => ([(1,2),(1,3),(2,3)],4) => 0
[4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => ([(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) => 0
[1,2,3,4,5,7,6] => ([(5,6)],7) => ([],1) => 0
[1,2,3,4,6,5,7] => ([(5,6)],7) => ([],1) => 0
[1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,3,5,4,6,7] => ([(5,6)],7) => ([],1) => 0
[1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,2,4,3,5,6,7] => ([(5,6)],7) => ([],1) => 0
[1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,2,4,5,6,7] => ([(5,6)],7) => ([],1) => 0
[1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => ([],3) => 0
[1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[2,1,3,4,5,6,7] => ([(5,6)],7) => ([],1) => 0
[2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => ([],2) => 0
[2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => ([],3) => 0
[2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => ([],2) => 0
[2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => ([],3) => 0
[2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => ([],3) => 0
[2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,4)],5) => 0
[2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => 0
[2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => 0
[2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,4)],5) => 0
[2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,1,4,5,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 0
[2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(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) => 0
[2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => 0
[2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 0
[2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 0
[2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => 0
[2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 0
[2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 0
[2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,4,5,6,7] => ([(4,6),(5,6)],7) => ([(0,1)],2) => 0
[3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => ([(1,2)],3) => 0
[3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => ([(2,3)],4) => 0
[3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(0,3),(1,2)],4) => 0
[3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 0
[3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7) => ([(0,2),(1,2)],3) => 0
[3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => ([(1,3),(2,3)],4) => 0
[3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => ([(0,1),(2,4),(3,4)],5) => 0
[3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 0
[3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(1,2),(2,3)],4) => 0
[3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => ([(1,4),(2,3),(3,4)],5) => 0
[3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,4),(1,3),(2,3),(2,4)],5) => 0
[3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 0
[3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 0
[3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,4)],5) => 0
[3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 0
[3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 0
[3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 0
[3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,4),(2,3),(2,4)],5) => 0
[3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 0
[3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 0
[3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => 0
[3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,2)],3) => 0
[4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(2,3)],4) => 0
[4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([(0,1),(2,3),(2,4),(3,4)],5) => 0
[4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 0
[4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => ([(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 0
[4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => 0
[4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
[4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 0
[4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 0
[4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 0
[4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => 0
[4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 0
[4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 0
[4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
[4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
[5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 0
[5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 0
[6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 0
[6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => ([(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) => 0
[7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(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) => 0
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Description
The minimal number of edges to add or remove to make a graph a line graph.
Map
line graph
Description
The line graph of a graph.
Let $G$ be a graph with edge set $E$. Then its line graph is the graph with vertex set $E$, such that two vertices $e$ and $f$ are adjacent if and only if they are incident to a common vertex in $G$.
Let $G$ be a graph with edge set $E$. Then its line graph is the graph with vertex set $E$, such that two vertices $e$ and $f$ are adjacent if and only if they are incident to a common vertex in $G$.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
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