Identifier
Values
[1] => [.,.] => ([],1) => 0
[1,2] => [.,[.,.]] => ([(0,1)],2) => 1
[2,1] => [[.,.],.] => ([(0,1)],2) => 1
[1,2,3] => [.,[.,[.,.]]] => ([(0,2),(1,2)],3) => 1
[1,3,2] => [.,[[.,.],.]] => ([(0,2),(1,2)],3) => 1
[2,1,3] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 1
[2,3,1] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 1
[3,1,2] => [[.,[.,.]],.] => ([(0,2),(1,2)],3) => 1
[3,2,1] => [[[.,.],.],.] => ([(0,2),(1,2)],3) => 1
[1,2,3,4] => [.,[.,[.,[.,.]]]] => ([(0,3),(1,2),(2,3)],4) => 2
[1,2,4,3] => [.,[.,[[.,.],.]]] => ([(0,3),(1,2),(2,3)],4) => 2
[1,3,2,4] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => 1
[1,3,4,2] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => 1
[1,4,2,3] => [.,[[.,[.,.]],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[1,4,3,2] => [.,[[[.,.],.],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,1,3,4] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,1,4,3] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,3,1,4] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,3,4,1] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,4,1,3] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[2,4,3,1] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,1,2,4] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,1,4,2] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,2,1,4] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,2,4,1] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,4,1,2] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[3,4,2,1] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[4,1,2,3] => [[.,[.,[.,.]]],.] => ([(0,3),(1,2),(2,3)],4) => 2
[4,1,3,2] => [[.,[[.,.],.]],.] => ([(0,3),(1,2),(2,3)],4) => 2
[4,2,1,3] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => 1
[4,2,3,1] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => 1
[4,3,1,2] => [[[.,[.,.]],.],.] => ([(0,3),(1,2),(2,3)],4) => 2
[4,3,2,1] => [[[[.,.],.],.],.] => ([(0,3),(1,2),(2,3)],4) => 2
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,1,5,3,4] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,5,1,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,4,1,3,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,1,5,3] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,5,3,1] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,5,3,1,4] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,5,1,2,4] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
>>> Load all 873 entries. <<<
[3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,3,5,2] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,6,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,6,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,1,6,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,4,1,5] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,6,1,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,6,5,3,1] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,1,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,1,3,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,1,6,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,1,4,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,3,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,6,4,3,1] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,1,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,1,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,1,5,4] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,4,1,5] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,5,1,4] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,4,1,3,5] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,4,1,5,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,4,3,1,5] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,4,5,1,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[2,6,5,1,3,4] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,5,3,1,4] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,2,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,5,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,6,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,1,6,4,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,5,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,5,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,5,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,2,6,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,6,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,1,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,2,1,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,5,1,2] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,6,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,1,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,2,1,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,2,4,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,4,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,1,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,1,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,1,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,1,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,2,1,5] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,2,5,1] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,4,5,2,1] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,1,2,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,6,2,5] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,3,6,5,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,6,1,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,1,2,6,5] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,2,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,3,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,4,6,3] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,3,4,6,2] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,3,6,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,6,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,1,4,3,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,1,4,6,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,1,3,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,1,6,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,4,6,3,1] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,3,5,4,2] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,2,5,3] => [[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,5,3,2,4] => [[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,4,1,3,5] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,1,2,5,4] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,1,5,2,4] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,3,5,2] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The biclique partition number of a graph.
The biclique partition number of a graph is the minimum number of pairwise edge disjoint complete bipartite subgraphs so that each edge belongs to exactly one of them. A theorem of Graham and Pollak [1] asserts that the complete graph $K_n$ has biclique partition number $n - 1$.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.