Processing math: 100%

Identifier
Values
[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
[3,2,1] => [[[.,.],.],.] => [.,[[.,.],.]] => ([(0,2),(2,1)],3) => 2
[1,4,2,3] => [.,[[.,[.,.]],.]] => [[.,[.,[.,.]]],.] => ([(0,3),(2,1),(3,2)],4) => 3
[1,4,3,2] => [.,[[[.,.],.],.]] => [[.,[[.,.],.]],.] => ([(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
[3,2,1,4] => [[[.,.],.],[.,.]] => [[[[.,.],.],.],.] => ([(0,3),(2,1),(3,2)],4) => 3
[3,2,4,1] => [[[.,.],.],[.,.]] => [[[[.,.],.],.],.] => ([(0,3),(2,1),(3,2)],4) => 3
[3,4,1,2] => [[.,[.,.]],[.,.]] => [[[.,[.,.]],.],.] => ([(0,3),(2,1),(3,2)],4) => 3
[3,4,2,1] => [[[.,.],.],[.,.]] => [[[[.,.],.],.],.] => ([(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
[4,3,1,2] => [[[.,[.,.]],.],.] => [.,[[.,[.,.]],.]] => ([(0,3),(2,1),(3,2)],4) => 3
[4,3,2,1] => [[[[.,.],.],.],.] => [.,[[[.,.],.],.]] => ([(0,3),(2,1),(3,2)],4) => 3
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [[.,[[.,[.,.]],.]],.] => ([(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
[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
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => [[[.,[[.,.],.]],.],.] => ([(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
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [[[.,[.,[.,.]]],.],.] => ([(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
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => [[[.,[[.,.],.]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => ([(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
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => [.,[.,[[.,[.,.]],.]]] => ([(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
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [.,[[[.,[.,.]],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [.,[[[[.,.],.],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [[.,[[[.,[.,.]],.],.]],.] => ([(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
[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
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => [[[.,[.,[[.,.],.]]],.],.] => ([(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
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(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
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(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
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(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
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[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
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(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
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => [.,[.,[[[.,[.,.]],.],.]]] => ([(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
>>> Load all 253 entries. <<<
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => [.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => [.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
[1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,3,4,6,5] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,3,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,3,6,5,4] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,6,3,4,5] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,6,3,5,4] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,6,5,3,4] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,2,6,5,4,3] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,2,3,5,4] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,2,5,3,4] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,2,5,4,3] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,5,2,3,4] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,5,2,4,3] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[1,7,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[.,[[[[.,[.,.]],.],.],.]],.] => ([(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
[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
[6,1,2,3,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(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
[6,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(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
[6,1,2,5,3,4,7] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,5,3,7,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,5,4,3,7] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,5,4,7,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,5,7,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(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
[6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,7,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,2,7,5,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(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
[6,1,5,2,3,4,7] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,2,3,7,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,2,4,3,7] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,2,4,7,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,2,7,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,2,7,4,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,2,3,7] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,2,7,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,3,2,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,3,7,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,7,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,4,7,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,7,2,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,7,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,5,7,4,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(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
[6,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,1,7,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(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
[6,5,1,2,3,4,7] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,2,3,7,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,2,4,3,7] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,2,4,7,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,2,7,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,2,7,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,2,3,7] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,2,7,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,3,2,7] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,3,7,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,7,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,4,7,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,7,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,7,2,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,7,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,1,7,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,2,3,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,3,2,7] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,3,7,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,1,7,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,1,2,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,7,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(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
[7,1,2,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(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
[7,1,2,6,3,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,6,3,5,4] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,2,6,5,3,4] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(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
[7,1,6,2,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,2,3,5,4] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,2,5,4,3] => [[.,[[.,[[[.,.],.],.]],.]],.] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,5,2,3,4] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,5,2,4,3] => [[.,[[[.,[[.,.],.]],.],.]],.] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,1,6,5,4,2,3] => [[.,[[[[.,[.,.]],.],.],.]],.] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(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
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,2,3,5,4] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,2,5,3,4] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,2,5,4,3] => [[[.,[.,[[[.,.],.],.]]],.],.] => [.,[[.,[.,[[[.,.],.],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,5,2,3,4] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,5,2,4,3] => [[[.,[[.,[[.,.],.]],.]],.],.] => [.,[[.,[[.,[[.,.],.]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,5,4,2,3] => [[[.,[[[.,[.,.]],.],.]],.],.] => [.,[[.,[[[.,[.,.]],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,1,5,4,3,2] => [[[.,[[[[.,.],.],.],.]],.],.] => [.,[[.,[[[[.,.],.],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,1,2,4,3] => [[[[.,[.,[[.,.],.]]],.],.],.] => [.,[[[.,[.,[[.,.],.]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,1,4,2,3] => [[[[.,[[.,[.,.]],.]],.],.],.] => [.,[[[.,[[.,[.,.]],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],.] => [.,[[[.,[[[.,.],.],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [.,[[[[.,[.,[.,.]]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => [.,[[[[.,[[.,.],.]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [.,[[[[[.,[.,.]],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [.,[[[[[[.,.],.],.],.],.],.]] => ([(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
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 poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
Map
left rotate
Description
Return the result of left rotation applied to a binary tree.
Left rotation on binary trees is defined as follows: Let T be a binary tree such that the right child of the root of T is a node. Let A be the left child of the root of T, and let B and C be the left and right children of the right child of the root of T. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the left rotation of T is the binary tree in which the right child of the root is C, whereas the left child of the root is a node whose left and right children are A and B.