Identifier
Values
[[]] => [.,.] => [1] => ([],1) => 1
[[],[]] => [.,[.,.]] => [2,1] => ([],2) => 2
[[[]]] => [[.,.],.] => [1,2] => ([(0,1)],2) => 1
[[],[],[]] => [.,[.,[.,.]]] => [3,2,1] => ([],3) => 3
[[],[[]]] => [.,[[.,.],.]] => [2,3,1] => ([(1,2)],3) => 2
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => ([(0,2),(1,2)],3) => 1
[[[],[]]] => [[.,.],[.,.]] => [1,3,2] => ([(0,1),(0,2)],3) => 1
[[[[]]]] => [[[.,.],.],.] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => ([],4) => 4
[[],[],[[]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => ([(2,3)],4) => 3
[[],[[]],[]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => ([(1,3),(2,3)],4) => 2
[[],[[],[]]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => ([(1,2),(1,3)],4) => 2
[[],[[[]]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => ([(1,2),(2,3)],4) => 2
[[[]],[],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 1
[[[]],[[]]] => [[.,[[.,.],.]],.] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => 1
[[[],[]],[]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 2
[[[[]]],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 1
[[[],[],[]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 1
[[[],[[]]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 1
[[[[]],[]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 1
[[[[],[]]]] => [[[.,.],[.,.]],.] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[[[[[]]]]] => [[[[.,.],.],.],.] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => ([],5) => 5
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => ([(3,4)],5) => 4
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 3
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => ([(2,3),(2,4)],5) => 3
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 3
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => ([(1,4),(2,4),(3,4)],5) => 2
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 2
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 2
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5) => 2
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => 2
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => 2
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5) => 2
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 2
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 1
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 1
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 1
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 1
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 1
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 1
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 1
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 1
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 1
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 1
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 1
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 1
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 1
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 1
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 1
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => ([],6) => 6
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => ([(4,5)],6) => 5
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 4
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => ([(3,4),(3,5)],6) => 4
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 4
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => ([(2,5),(3,5),(4,5)],6) => 3
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 3
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 3
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6) => 3
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6) => 3
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6) => 3
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 3
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 3
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 2
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 2
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 2
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => ([(1,5),(2,5),(3,5),(5,4)],6) => 2
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 2
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 2
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 2
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 2
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 2
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 2
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 2
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 2
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 2
>>> Load all 450 entries. <<<
[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 2
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 2
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 2
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 1
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 1
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 1
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 1
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 1
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 1
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 1
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 2
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 2
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 2
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 1
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 1
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 2
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 1
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 1
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 2
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 1
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 2
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 1
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 1
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 1
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 1
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 1
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 1
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 1
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 1
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 1
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 1
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 1
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 1
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 1
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 1
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 1
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 1
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 1
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 1
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 1
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 1
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 1
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 1
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 1
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => ([],7) => 7
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => ([(5,6)],7) => 6
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => ([(4,6),(5,6)],7) => 5
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => ([(4,5),(4,6)],7) => 5
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => ([(4,5),(5,6)],7) => 5
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => ([(3,6),(4,6),(5,6)],7) => 4
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => ([(3,6),(4,6),(6,5)],7) => 4
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => ([(3,4),(3,5),(3,6)],7) => 4
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => ([(3,4),(3,5),(5,6)],7) => 4
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => ([(3,4),(4,5),(4,6)],7) => 4
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 4
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => ([(3,4),(4,6),(6,5)],7) => 4
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 3
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 3
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 3
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => ([(2,6),(3,6),(4,6),(6,5)],7) => 3
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => ([(2,6),(3,6),(6,4),(6,5)],7) => 3
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => ([(2,6),(3,6),(4,5),(6,4)],7) => 3
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => ([(2,3),(2,4),(2,5),(2,6)],7) => 3
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 3
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => ([(2,6),(6,3),(6,4),(6,5)],7) => 3
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => ([(2,5),(5,6),(6,3),(6,4)],7) => 3
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 3
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 3
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 2
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 2
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 2
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 2
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 2
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 2
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 2
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 3
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 2
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 2
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 2
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 2
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 3
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 2
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 2
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 2
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 2
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 2
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 2
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 2
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 2
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 2
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 2
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 2
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 1
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 1
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 1
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 1
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 1
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 1
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 1
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 1
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 1
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 1
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 1
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 1
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 1
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 1
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 2
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 2
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 2
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 2
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 1
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 1
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 1
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 1
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 2
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 1
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 1
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 1
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 1
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 1
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 2
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 2
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 1
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 1
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 1
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 2
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 2
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 1
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 1
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 1
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 1
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 2
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 1
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 1
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 1
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 1
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 1
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 1
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 1
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 1
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 1
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 1
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 1
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 1
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 1
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 1
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 1
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 1
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 1
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 1
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 1
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 1
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 1
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 2
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 1
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 1
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 1
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 1
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 1
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 1
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 1
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 1
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 1
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 1
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 1
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 1
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 1
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 1
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1
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Description
The length of the shortest maximal antichain in a poset.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
Zeilberger's Strahler bijection
Description
Zeilberger's Strahler bijection between ordered and binary trees.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.