Identifier
-
Mp00139:
Ordered trees
—Zeilberger's Strahler bijection⟶
Binary trees
Mp00013: Binary trees —to poset⟶ Posets
St000068: Posets ⟶ ℤ
Values
[[]] => [.,.] => ([],1) => 1
[[],[]] => [.,[.,.]] => ([(0,1)],2) => 1
[[[]]] => [[.,.],.] => ([(0,1)],2) => 1
[[],[],[]] => [.,[.,[.,.]]] => ([(0,2),(2,1)],3) => 1
[[],[[]]] => [.,[[.,.],.]] => ([(0,2),(2,1)],3) => 1
[[[]],[]] => [[.,[.,.]],.] => ([(0,2),(2,1)],3) => 1
[[[],[]]] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 2
[[[[]]]] => [[[.,.],.],.] => ([(0,2),(2,1)],3) => 1
[[],[],[],[]] => [.,[.,[.,[.,.]]]] => ([(0,3),(2,1),(3,2)],4) => 1
[[],[],[[]]] => [.,[.,[[.,.],.]]] => ([(0,3),(2,1),(3,2)],4) => 1
[[],[[]],[]] => [.,[[.,[.,.]],.]] => ([(0,3),(2,1),(3,2)],4) => 1
[[],[[],[]]] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(3,2)],4) => 2
[[],[[[]]]] => [.,[[[.,.],.],.]] => ([(0,3),(2,1),(3,2)],4) => 1
[[[]],[],[]] => [[.,[.,[.,.]]],.] => ([(0,3),(2,1),(3,2)],4) => 1
[[[]],[[]]] => [[.,[[.,.],.]],.] => ([(0,3),(2,1),(3,2)],4) => 1
[[[],[]],[]] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[[]]],[]] => [[[.,[.,.]],.],.] => ([(0,3),(2,1),(3,2)],4) => 1
[[[],[],[]]] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[],[[]]]] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[[]],[]]] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[[],[]]]] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(3,2)],4) => 2
[[[[[]]]]] => [[[[.,.],.],.],.] => ([(0,3),(2,1),(3,2)],4) => 1
[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 3
[[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 3
[[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 2
[[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
>>> Load all 894 entries. <<<[[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 3
[[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 3
[[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 3
[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 3
[[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 3
[[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 3
[[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 3
[[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 3
[[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 3
[[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
[[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
[[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
[[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
[[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
[[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 4
[[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 2
[[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 3
[[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 3
[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 2
[[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
[[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
[[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 3
[[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
[[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 3
[[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 2
[[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 3
[[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 3
[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
[[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[],[[],[]]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[[[],[[[]]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[[]],[],[]]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[[[[]],[[]]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 2
[[[[[[],[]],[]]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[[[[[[[]]],[]]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
[[[[[[],[],[]]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[[[],[[]]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[[[[]],[]]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[[[[[[[],[]]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[],[[]],[]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[],[[],[]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[[]],[],[]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[[],[]],[]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[[[]]],[]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[],[[],[],[]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[[],[[]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[[[]],[]]] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[[[],[]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[],[[[[]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[]],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[]],[],[[]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[]],[[]],[]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[]],[[[]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[[]]],[],[]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[[]]],[[]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[[],[]]],[]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[[]]]],[]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[],[[],[[],[]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[],[],[]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[],[[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[[]],[]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[],[[[[[]]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[],[],[[]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[],[[]],[]] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[],[[[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[[]],[],[]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[[]],[[]]] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[[[]]],[]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[]],[[[[]]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[]]],[],[],[]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[]]],[],[[]]] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[]]],[[]],[]] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[]]],[[[]]]] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[[]]]],[],[]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[[[]]]],[[]]] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[],[[],[]]],[]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[],[]]]],[]] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[[]]]]],[]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[],[[],[],[[],[]]]] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[],[[],[],[]]]] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[],[[],[[]]]]] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[],[[[]],[]]]] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[],[[[],[]]]]] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[],[[],[]]]]] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[],[[[]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[[]],[],[]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[[]],[[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[[[]]],[]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[]],[],[[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[[]]],[],[]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[[[]]]],[]] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[]],[[[[[]]]]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[],[],[[]]] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[],[[]],[]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[],[[[]]]] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[[]],[],[]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[[]],[[]]] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[[[]]],[]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[]]],[[[[]]]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[]]]],[],[],[]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[]]]],[],[[]]] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[]]]],[[]],[]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[]]]],[[[]]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[[]]]]],[],[]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[[[[]]]]],[[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[],[],[[],[]]],[]] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[[],[]]]],[]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[[],[]]]],[]] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[],[]]]]],[]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[[]]]]]],[]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[],[[],[],[],[[],[]]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[],[[],[],[]]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[],[[],[[]]]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[],[[[]],[]]]] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[],[[[],[]]]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[],[[],[]]]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[[],[],[]]]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[[],[[]]]]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[[[]],[]]]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[],[[[[],[]]]]]] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[],[],[]]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[],[[]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[],[[[]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[[]],[],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[[]],[[]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[[[]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[],[[[[]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[]],[],[],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[]],[],[[]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[]],[[]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[]],[[[]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[[]]],[],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[[]]],[[]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[[[]]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[],[[[[[]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[],[],[],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[],[],[[]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[],[[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[],[[[]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[[]],[],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[[]],[[]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[[[]]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[]],[[[[]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[]]],[],[],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[]]],[],[[]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[]]],[[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[]]],[[[]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[[]]]],[],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[[]]]],[[]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[[[]]]]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[]],[[[[[[]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[],[],[[]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[],[[]],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[],[[[]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[[]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[[]],[[]]] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[[[]]],[]] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[],[[[[]]]]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[]],[],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[]],[],[[]]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[]],[[]],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[]],[[[]]]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[[]]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[[]]],[[]]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[[[]]]],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[]]],[[[[[]]]]]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[],[[[]]]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[[]],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[[]],[[]]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[[[]]],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[]]]],[[[[]]]]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[]]]]],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[]]]]],[],[[]]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[]]]]],[[]],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[]]]]],[[[]]]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[[]]]]]],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[[]]]]]],[[]]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[],[],[],[[],[]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[[],[]]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[[],[]]]],[]] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[[],[]]]]],[]] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[[],[]]]],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[[],[]]]]],[]] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[[],[]]]]],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[],[]]]]]],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[[]]]]]]],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[],[],[],[],[[],[]]]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[],[[],[],[]]]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[],[[],[[]]]]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[],[[[]],[]]]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[],[[[],[]]]]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[],[[],[]]]]] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[[],[],[]]]]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[[],[[]]]]]] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[[[]],[]]]]] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[],[[[[],[]]]]]] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[],[[],[]]]]] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[[],[],[]]]]] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[[],[[]]]]]] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[[[]],[]]]]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[],[[[],[]]]]]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[],[[],[]]]]]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[[],[],[]]]]]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[[],[[]]]]]]] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[[[]],[]]]]]] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[],[[[[[],[]]]]]]] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[],[[],[]]]]] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[[],[],[]]]]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[[],[[]]]]]] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[[[]],[]]]]] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[],[[[],[]]]]]] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[],[[],[]]]]]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[[],[],[]]]]]] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[[],[[]]]]]]] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[[[]],[]]]]]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[],[[[[],[]]]]]]] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[],[[],[]]]]]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[[],[],[]]]]]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[[],[[]]]]]]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[[[]],[]]]]]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[],[[[],[]]]]]]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[[[],[[],[]]]]]]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[],[],[]]]]]]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[],[[]]]]]]]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[[]],[]]]]]]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[[],[]]]]]]]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 2
[[[[[[[[[]]]]]]]]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[[[[[[[[[]]]]]]]],[]] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[[[[[[[[]]]]]]]]] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[[[]]]]]]]]],[]] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[[[[[[[[[]]]]]]]]]] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[],[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[],[],[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[],[],[],[],[],[[[]]]] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[],[],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[]]],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[[[[[[]]]]]],[]] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[[[[[[]]]]]],[[]]] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[[[]]]]]]]]]] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[[[[]]]]]]]]]]] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[],[[[[[[[]]]]]]]] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[],[],[],[],[[]],[]] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[],[],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[]],[[[[[[[]]]]]]]] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[]]],[[[[[[]]]]]]] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[]]]]],[[[[]]]]] => [[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[]]]]]]],[[]]] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[]],[[[[[[[[]]]]]]]]] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[[[[[[]]]]]]]],[[]]] => [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[[]],[],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[]]]]]]],[],[]] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[[[[[[[]]]]]]],[]] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[],[[]],[],[],[],[]] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[],[],[],[[]],[],[],[]] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[[]],[[]],[],[],[],[]] => [.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[[]],[],[],[],[],[]] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[],[],[],[],[],[[]],[[]]] => [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[]]]]]],[],[],[]] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[]]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[]]]],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[[[[[[[[[]]]]]]]],[],[]] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[[[[[]]]]]]],[],[],[]] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[[[[]]]]]],[],[],[],[]] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[[[]]]]],[],[],[],[],[]] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[[]]]],[],[],[],[],[],[]] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[[[]]],[],[],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[[[[[[[[]]]]]]]],[]] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[[],[[[]]],[],[],[],[],[]] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
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Generating function
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Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 8,6 16,24,2 32,80,20 64,240,120,5
$F_{2} = q$
$F_{3} = 2\ q$
$F_{4} = 4\ q + q^{2}$
$F_{5} = 8\ q + 6\ q^{2}$
$F_{6} = 16\ q + 24\ q^{2} + 2\ q^{3}$
$F_{7} = 32\ q + 80\ q^{2} + 20\ q^{3}$
$F_{8} = 64\ q + 240\ q^{2} + 120\ q^{3} + 5\ q^{4}$
Description
The number of minimal elements in a poset.
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.
This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree.
Map
to poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
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