- FindStat

Identifier

Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00011: Binary trees —to graph⟶ Graphs
St001271: Graphs ⟶ ℤ

Values

[[]] => [.,.] => ([],1) => 0

[[],[]] => [.,[.,.]] => ([(0,1)],2) => 1

[[[]]] => [[.,.],.] => ([(0,1)],2) => 1

[[],[],[]] => [.,[.,[.,.]]] => ([(0,2),(1,2)],3) => 1

[[],[[]]] => [.,[[.,.],.]] => ([(0,2),(1,2)],3) => 1

[[[]],[]] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 1

[[[],[]]] => [[.,[.,.]],.] => ([(0,2),(1,2)],3) => 1

[[[[]]]] => [[[.,.],.],.] => ([(0,2),(1,2)],3) => 1

[[],[],[],[]] => [.,[.,[.,[.,.]]]] => ([(0,3),(1,2),(2,3)],4) => 1

[[],[],[[]]] => [.,[.,[[.,.],.]]] => ([(0,3),(1,2),(2,3)],4) => 1

[[],[[]],[]] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => 1

[[],[[],[]]] => [.,[[.,[.,.]],.]] => ([(0,3),(1,2),(2,3)],4) => 1

[[],[[[]]]] => [.,[[[.,.],.],.]] => ([(0,3),(1,2),(2,3)],4) => 1

[[[]],[],[]] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 1

[[[]],[[]]] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 1

[[[],[]],[]] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 1

[[[[]]],[]] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 1

[[[],[],[]]] => [[.,[.,[.,.]]],.] => ([(0,3),(1,2),(2,3)],4) => 1

[[[],[[]]]] => [[.,[[.,.],.]],.] => ([(0,3),(1,2),(2,3)],4) => 1

[[[[]],[]]] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => 1

[[[[],[]]]] => [[[.,[.,.]],.],.] => ([(0,3),(1,2),(2,3)],4) => 1

[[[[[]]]]] => [[[[.,.],.],.],.] => ([(0,3),(1,2),(2,3)],4) => 1

[[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[],[[]],[]] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[[]],[],[]] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[[[]]],[]] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[[[]],[]]] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[]],[],[],[]] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[]],[],[[]]] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[]],[[]],[]] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[]]],[],[]] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[]],[]],[]] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[],[]]],[]] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[[]]]],[]] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[[]],[]]] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[]],[],[]]] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[],[]],[]]] => [[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[[]]],[]]] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[[]],[]]]] => [[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

[[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[],[[]],[]] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[[]],[],[]] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[],[[[]]],[]] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[[[]],[]]] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[]],[],[],[]] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[]],[],[[]]] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[]],[[]],[]] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[[]]],[],[]] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[[]],[]],[]] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[[],[[[],[]]],[]] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[[[]]]],[]] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[],[[]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[[],[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[],[[[[]]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

>>> Load all 625 entries. <<<

[[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[[[]],[]]]] => [.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[],[],[],[]] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[],[],[[]]] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[],[[]],[]] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[]],[],[[],[]]] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[],[[[]]]] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[[]],[],[]] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[]],[[[]]],[]] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]]],[],[],[]] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]]],[],[[]]] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[]],[[]],[]] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[]]],[[]],[]] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]],[]],[],[]] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[]]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[]]]],[],[]] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]],[]],[[]]] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[]],[]],[]] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[],[[],[]]],[]] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]],[],[]],[]] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[]],[[]]],[]] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[]]],[]],[]] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[],[],[]]],[]] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[],[[]]]],[]] => [[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[]],[]]],[]] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[[],[]]]],[]] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[[]]]]],[]] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[[]],[]]] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[]],[],[]]] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[],[[],[]],[]]] => [[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[],[[[]]],[]]] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[[]],[]]]] => [[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[]],[],[],[]]] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[]],[],[[]]]] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[]],[[]],[]]] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[]],[],[]]] => [[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[]]],[],[]]] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[],[]],[[]]]] => [[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[],[],[]],[]]] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[[]]],[]]] => [[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[[[[[],[]]],[]]] => [[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[[[]]]],[]]] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[],[[]],[]]]] => [[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[]],[],[]]]] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[],[]],[]]]] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[[]]],[]]]] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 1

[[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[[]],[]]]]] => [[[[[.,.],[.,.]],.],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 1

[[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

[[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

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[[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[],[[]],[],[]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[],[[]],[[]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[],[[],[],[]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[],[[],[[]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

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[[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

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[[],[],[[]],[],[[]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[[]],[[]],[]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

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[[],[],[[[]]],[],[]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

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[[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[[[]],[]],[]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[[[[]]]],[]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[[],[],[],[]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[[],[],[[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[[],[[]],[]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[[],[[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[],[],[[[]],[],[]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

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[[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[],[],[[[],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

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[[[[[],[]]]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[]]]]],[],[]] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[]],[]],[[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[]],[],[]],[[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[]],[[]]],[[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[]],[]],[[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]]],[]],[[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[]],[]]],[[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[],[]]]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[]]]]],[[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[]],[]],[]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[]],[],[]],[]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[]],[[]]],[]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[]]],[]],[]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[]],[]]],[]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[]],[],[],[]],[]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[]],[],[[]]],[]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[]],[[]],[]],[]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[]],[[[]]]],[]] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[]]],[],[]],[]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[],[]],[[]]],[]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[]]],[[]]],[]] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[]],[]],[]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[],[]]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]]]],[]],[]] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[]],[]]],[]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[]],[],[]]],[]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[[]]]],[]] => [[[[.,.],[[.,.],.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]]],[]]],[]] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[]],[]]]],[]] => [[[[[.,.],[.,.]],.],.],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[[],[]]]]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[[]]]]]],[]] => [[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[],[],[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[],[[]]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[[]],[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[],[[[]]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[]],[],[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[],[[]],[[]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[],[[],[]],[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[],[[[]]],[]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[],[[],[],[]]]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[],[[]]]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[],[[[],[]]]]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[],[[[[]]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[]],[],[],[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[]],[],[[]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[]],[[]],[]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[]],[[[]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[],[]],[],[]]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[],[[[]]],[],[]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[],[[],[]],[[]]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[],[[[]]],[[]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[],[[],[],[]],[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[],[[]]],[]]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[]],[]],[]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[],[[[],[]]],[]]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[[]]]],[]]] => [[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[],[],[],[]]]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[],[],[[]]]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[],[[]],[]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[[],[[],[]]]]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[],[[[]]]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[]],[],[]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[]],[[]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[],[]],[]]]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[],[[[],[],[]]]]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[],[[]]]]]] => [[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[[]],[]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[],[[[[],[]]]]]] => [[.,[[[[.,[.,.]],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[],[[[[[]]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[]],[],[],[],[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[],[],[[]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[],[[]],[]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[],[[[]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[[]],[],[]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[]],[[]],[[]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[]],[[],[]],[]]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[]],[[[]]],[]]] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[]],[[],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[[],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[[[],[]]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[]],[[[[]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[]],[],[],[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]]],[],[],[]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[]],[],[[]]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]]],[],[[]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[]],[[]],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[]]],[[]],[]]] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[],[]],[[],[]]]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[]],[[[]]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]]],[[[]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[],[]],[],[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[]]],[],[]]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[]],[],[]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[],[]]],[],[]]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]]]],[],[]]] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[],[]],[[]]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[]]],[[]]]] => [[[.,[[.,.],.]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[]],[[]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[],[]]],[[]]]] => [[[[.,[.,.]],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]]]],[[]]]] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[],[],[]],[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[],[[]]],[]]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[[]],[]],[]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 1

[[[[],[[],[]]],[]]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[[[]]]],[]]] => [[[.,[[[.,.],.],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[]],[],[]],[]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[]],[[]]],[]]] => [[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[],[]],[]],[]]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[[]]],[]],[]]] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[],[],[]]],[]]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[],[[]]]],[]]] => [[[[.,[[.,.],.]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[[]],[]]],[]]] => [[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 1

[[[[[[],[]]]],[]]] => [[[[[.,[.,.]],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[],[],[],[]]]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[],[],[[]]]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[],[[]],[]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[],[[],[]]]]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[],[[[]]]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[]],[],[]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[]],[[]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[],[]],[]]]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[[]]],[]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[],[[],[],[]]]]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[],[[]]]]]] => [[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[[]],[]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[],[[[],[]]]]]] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[],[[[[]]]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[]],[],[],[]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[],[[]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[[]],[]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[]],[[],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[]],[[[]]]]]] => [[[[.,.],[[[.,.],.],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[],[]],[],[]]]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[[]]],[],[]]]] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[],[]],[[]]]]] => [[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[[]]],[[]]]]] => [[[[[.,.],.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 1

[[[[[],[],[]],[]]]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[],[[]]],[]]]] => [[[[.,[[.,.],.]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]],[]],[]]]] => [[[[[.,.],[.,.]],[.,.]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1

[[[[[[],[]]],[]]]] => [[[[[.,[.,.]],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[],[],[],[]]]]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[],[],[[]]]]]] => [[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[],[[]],[]]]]] => [[[[.,[[.,.],[.,.]]],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[],[[],[]]]]]] => [[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[],[[[]]]]]]] => [[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[]],[],[]]]]] => [[[[[.,.],[.,[.,.]]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[]],[[]]]]]] => [[[[[.,.],[[.,.],.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[],[]],[]]]]] => [[[[[.,[.,.]],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[[]]],[]]]]] => [[[[[[.,.],.],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[[[[[[],[],[]]]]]] => [[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[],[[]]]]]]] => [[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[[]],[]]]]]] => [[[[[[.,.],[.,.]],.],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 1

[[[[[[[],[]]]]]]] => [[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

[[[[[[[[]]]]]]]] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

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Description

The competition number of a graph.
The competition graph of a digraph $D$ is a (simple undirected) graph which has the same vertex set as $D$ and has an edge between $x$ and $y$ if and only if there exists a vertex $v$ in $D$ such that $(x, v)$ and $(y, v)$ are arcs of $D$. For any graph, $G$ together with sufficiently many isolated vertices is the competition graph of some acyclic digraph. The competition number $k(G)$ is the smallest number of such isolated vertices.

Map

to binary tree: right brother = right child

Description

Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.

Map

to graph

Description

Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.