Identifier
Values
[1,2,3] => [.,[.,[.,.]]] => [[.,[.,.]],.] => ([(0,2),(2,1)],3) => 2
[1,3,2] => [.,[[.,.],.]] => [[[.,.],.],.] => ([(0,2),(2,1)],3) => 2
[2,1,3] => [[.,.],[.,.]] => [.,[.,[.,.]]] => ([(0,2),(2,1)],3) => 2
[2,3,1] => [[.,[.,.]],.] => [.,[[.,.],.]] => ([(0,2),(2,1)],3) => 2
[3,1,2] => [[.,.],[.,.]] => [.,[.,[.,.]]] => ([(0,2),(2,1)],3) => 2
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [[.,[.,[.,.]]],.] => ([(0,3),(2,1),(3,2)],4) => 3
[1,2,4,3] => [.,[.,[[.,.],.]]] => [[.,[[.,.],.]],.] => ([(0,3),(2,1),(3,2)],4) => 3
[1,3,4,2] => [.,[[.,[.,.]],.]] => [[[.,[.,.]],.],.] => ([(0,3),(2,1),(3,2)],4) => 3
[1,4,3,2] => [.,[[[.,.],.],.]] => [[[[.,.],.],.],.] => ([(0,3),(2,1),(3,2)],4) => 3
[2,1,3,4] => [[.,.],[.,[.,.]]] => [.,[.,[.,[.,.]]]] => ([(0,3),(2,1),(3,2)],4) => 3
[2,1,4,3] => [[.,.],[[.,.],.]] => [.,[.,[[.,.],.]]] => ([(0,3),(2,1),(3,2)],4) => 3
[2,3,4,1] => [[.,[.,[.,.]]],.] => [.,[[.,[.,.]],.]] => ([(0,3),(2,1),(3,2)],4) => 3
[2,4,3,1] => [[.,[[.,.],.]],.] => [.,[[[.,.],.],.]] => ([(0,3),(2,1),(3,2)],4) => 3
[3,1,2,4] => [[.,.],[.,[.,.]]] => [.,[.,[.,[.,.]]]] => ([(0,3),(2,1),(3,2)],4) => 3
[3,1,4,2] => [[.,.],[[.,.],.]] => [.,[.,[[.,.],.]]] => ([(0,3),(2,1),(3,2)],4) => 3
[4,1,2,3] => [[.,.],[.,[.,.]]] => [.,[.,[.,[.,.]]]] => ([(0,3),(2,1),(3,2)],4) => 3
[4,1,3,2] => [[.,.],[[.,.],.]] => [.,[.,[[.,.],.]]] => ([(0,3),(2,1),(3,2)],4) => 3
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => [[.,[[.,[.,.]],.]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [[.,[[[.,.],.],.]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => [[[.,[[.,.],.]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,4,5,3,2] => [.,[[[.,[.,.]],.],.]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,4,5,3,1] => [[.,[[.,[.,.]],.]],.] => [.,[[[.,[.,.]],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [.,[[[[.,.],.],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[3,1,2,5,4] => [[.,.],[.,[[.,.],.]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[3,1,4,5,2] => [[.,.],[[.,[.,.]],.]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,1,2,5,3] => [[.,.],[.,[[.,.],.]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,1,3,5,2] => [[.,.],[[.,[.,.]],.]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,1,2,4,3] => [[.,.],[.,[[.,.],.]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,1,3,4,2] => [[.,.],[[.,[.,.]],.]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => [[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]] => [[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [[.,[[[[.,.],.],.],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.] => [.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.] => [.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.] => [.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,2,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,2,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,2,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,5,6,4,2] => [[.,.],[[[.,[.,.]],.],.]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,2,3,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,3,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,3,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,5,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,2,4,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,2,6,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,3,4,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,3,6,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,4,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
>>> Load all 253 entries. <<<
[6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,6,7,5,4] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,4,6,7,5,3] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,5,7,6,4,3] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,6,7,5,4,3] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,4,6,7,5,2] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,4,7,6,5,2] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,5,6,7,4,2] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,5,7,6,4,2] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,6,7,5,4,2] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,4,5,6,7,3,2] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,4,7,6,5,3,2] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,5,6,7,4,3,2] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,5,7,6,4,3,2] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,6,7,5,4,3,2] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,4,5,6,7,3] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,4,5,7,6,3] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,4,6,7,5,3] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,4,7,6,5,3] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,5,6,7,4,3] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,5,7,6,4,3] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,6,7,5,4,3] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,4,6,7,5,1] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [.,[[.,[.,[[[.,.],.],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,5,7,6,4,1] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [.,[[.,[[.,[[.,.],.]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,6,7,5,4,1] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [.,[[.,[[[.,[.,.]],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.] => [.,[[.,[[[[.,.],.],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,4,5,6,7,3,1] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [.,[[[.,[.,[[.,.],.]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [.,[[[.,[[.,[.,.]],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,4,7,6,5,3,1] => [[.,[[.,[[[.,.],.],.]],.]],.] => [.,[[[.,[[[.,.],.],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,5,6,7,4,3,1] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [.,[[[[.,[.,[.,.]]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,5,7,6,4,3,1] => [[.,[[[.,[[.,.],.]],.],.]],.] => [.,[[[[.,[[.,.],.]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,6,7,5,4,3,1] => [[.,[[[[.,[.,.]],.],.],.]],.] => [.,[[[[[.,[.,.]],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [.,[[[[[[.,.],.],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,2,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,4,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,4,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,4,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,5,6,7,4,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,5,7,6,4,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,6,7,5,4,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,3,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,3,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,3,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,5,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,5,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,6,7,5,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,2,7,6,5,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,3,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,3,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,3,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,3,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,5,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,5,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,6,7,5,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,3,4,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,3,6,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,3,7,6,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,4,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,4,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,6,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,2,7,6,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,3,4,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,3,4,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,3,6,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,3,7,6,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,4,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,4,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,6,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,3,4,7,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,3,5,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,3,7,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,4,5,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,4,7,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,5,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,7,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,3,4,5,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,3,4,7,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,3,5,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,3,7,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,4,5,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,4,7,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,3,4,6,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,3,5,6,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,3,6,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,4,5,6,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,4,6,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,5,6,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,3,4,5,6,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,3,4,6,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,3,5,6,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,3,6,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,4,5,6,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,5,6,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
search for individual values
searching the database for the individual values of this statistic
Description
The number of indecomposable summands of the top of the first syzygy of the dual of the regular module in the incidence algebra of the lattice.
Map
to poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
Map
right rotate
Description
Return the result of right rotation applied to a binary tree.
Right rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the left child of the root of $T$ is a node. Let $C$ be the right child of the root of $T$, and let $A$ and $B$ be the left and right children of the left child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the right rotation of $T$ is the binary tree in which the left child of the root is $A$, whereas the right child of the root is a node whose left and right children are $B$ and $C$.