Identifier
Mp00034:
Dyck paths
—to binary tree: up step, left tree, down step, right tree⟶
Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00046: Ordered trees —to graph⟶ Graphs
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00046: Ordered trees —to graph⟶ Graphs
Images
[1,0] => [.,.] => [[]] => ([(0,1)],2)
[1,0,1,0] => [.,[.,.]] => [[[]]] => ([(0,2),(1,2)],3)
[1,1,0,0] => [[.,.],.] => [[],[]] => ([(0,2),(1,2)],3)
[1,0,1,0,1,0] => [.,[.,[.,.]]] => [[[[]]]] => ([(0,3),(1,2),(2,3)],4)
[1,0,1,1,0,0] => [.,[[.,.],.]] => [[[],[]]] => ([(0,3),(1,3),(2,3)],4)
[1,1,0,0,1,0] => [[.,.],[.,.]] => [[],[[]]] => ([(0,3),(1,2),(2,3)],4)
[1,1,0,1,0,0] => [[.,[.,.]],.] => [[[]],[]] => ([(0,3),(1,2),(2,3)],4)
[1,1,1,0,0,0] => [[[.,.],.],.] => [[],[],[]] => ([(0,3),(1,3),(2,3)],4)
[1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => [[[[[]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5)
[1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => [[[[],[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,0,1,1,0,0,1,0] => [.,[[.,.],[.,.]]] => [[[],[[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => [[[[]],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => [[[],[],[]]] => ([(0,4),(1,4),(2,4),(3,4)],5)
[1,1,0,0,1,0,1,0] => [[.,.],[.,[.,.]]] => [[],[[[]]]] => ([(0,4),(1,3),(2,3),(2,4)],5)
[1,1,0,0,1,1,0,0] => [[.,.],[[.,.],.]] => [[],[[],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,.]] => [[[]],[[]]] => ([(0,4),(1,3),(2,3),(2,4)],5)
[1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],.] => [[[[]]],[]] => ([(0,4),(1,3),(2,3),(2,4)],5)
[1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],.] => [[[],[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,1,1,0,0,0,1,0] => [[[.,.],.],[.,.]] => [[],[],[[]]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => [[],[[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => [[[]],[],[]] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => [[],[],[],[]] => ([(0,4),(1,4),(2,4),(3,4)],5)
[1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => [[[[[[]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => [[[[[],[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,.]]]] => [[[[],[[]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => [[[[[]],[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => [[[[],[],[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [[[],[[[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],.]]] => [[[],[[],[]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[.,.]]] => [[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => [[[[[]]],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,0,1,1,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],.]] => [[[[],[]],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[.,.]]] => [[[],[],[[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => [[[],[[]],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => [[[[]],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => [[[],[],[],[]]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [[],[[[[]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [[],[[[],[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,.]]] => [[],[[],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => [[],[[[]],[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],.]] => [[],[[],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [[[]],[[[]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],.]] => [[[]],[[],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[.,.]] => [[[[]]],[[]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],.] => [[[[[]]]],[]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[1,1,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],.]]],.] => [[[[],[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[.,.]] => [[[],[]],[[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,.]]],.] => [[[],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],.]],.] => [[[[]],[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],.]],.] => [[[],[],[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[.,[.,.]]] => [[],[],[[[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[.,.],.]] => [[],[],[[],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,.]],[.,.]] => [[],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => [[],[[[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],.]],.] => [[],[[],[]],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,.]] => [[[]],[],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => [[[]],[[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => [[[[]]],[],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => [[[],[]],[],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,.]] => [[],[],[],[[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => [[],[],[[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,1,1,0,0,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [[],[[]],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => [[[]],[],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => [[],[],[],[],[]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[[[[[[]]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [[[[[[],[]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[.,.]]]]] => [[[[[],[[]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => [[[[[[]],[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => [[[[[],[],[]]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [[[[],[[[]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [[[[],[[],[]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [[[[[]],[[]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [[[[[[]]],[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [[[[[],[]],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[[.,.],.],[.,.]]]] => [[[[],[],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => [[[[],[[]],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => [[[[[]],[],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => [[[[],[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [[[],[[[[]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [[[],[[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[.,.]]]] => [[[],[[],[[]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,[.,.]],.]]] => [[[],[[[]],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [[[],[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [[[[]],[[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]] => [[[[]],[[],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[.,.]]] => [[[[[]]],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [[[[[[]]]],[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [[[[[],[]]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],.]],[.,.]]] => [[[[],[]],[[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [[[[],[[]]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],.]] => [[[[[]],[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [[[[],[],[]],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]] => [[[],[],[[[]]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],.]]] => [[[],[],[[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[.,.]],[.,.]]] => [[[],[[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => [[[],[[[]]],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],.]],.]] => [[[],[[],[]],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],.],[.,.]]] => [[[[]],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => [[[[]],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => [[[[[]]],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [[[[],[]],[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
>>> Load all 2201 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[[.,.],.],.],[.,.]]] => [[[],[],[],[[]]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [[[],[],[[]],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [[[],[[]],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => [[[[]],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => [[[],[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [[],[[[[[]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [[],[[[[],[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[.,.]]]] => [[],[[[],[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => [[],[[[[]],[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => [[],[[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]] => [[],[[],[[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [[],[[],[[],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],[.,.]]] => [[],[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,.]]],.]] => [[],[[[[]]],[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],.]],.]] => [[],[[[],[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[[.,.],.],[.,.]]] => [[],[[],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => [[],[[],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],.]] => [[],[[[]],[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],.]] => [[],[[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[]],[[[[]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => [[[]],[[[],[]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[.,.]]] => [[[]],[[],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => [[[]],[[[]],[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],.]] => [[[]],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[[]]],[[[]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [[[[]]],[[],[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[[[]]]],[[]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [[[[[[]]]]],[]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],.]]]],.] => [[[[[],[]]]],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],[.,.]] => [[[[],[]]],[[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[.,.]]]],.] => [[[[],[[]]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],.] => [[[[[]],[]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[[[.,.],.],.]]],.] => [[[[],[],[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]] => [[[],[]],[[[]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [[[],[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[.,.]] => [[[],[[]]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,.]]]],.] => [[[],[[[]]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],.]]],.] => [[[],[[],[]]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[.,.]] => [[[[]],[]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],[.,.]]],.] => [[[[]],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],.] => [[[[[]]],[]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],.]],.] => [[[[],[]],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[.,.]] => [[[],[],[]],[[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[.,.]]],.] => [[[],[],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.] => [[[],[[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[[[.,[.,.]],.],.]],.] => [[[[]],[],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],.],.],.]],.] => [[[],[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,.]]]] => [[],[],[[[[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],.]]] => [[],[],[[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[.,.]]] => [[],[],[[],[[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] => [[],[],[[[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],.]] => [[],[],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,.]]] => [[],[[]],[[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [[],[[]],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]] => [[],[[[]]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => [[],[[[[]]]],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],.]]],.] => [[],[[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],.]],[.,.]] => [[],[[],[]],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [[],[[],[[]]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,[.,.]],.]],.] => [[],[[[]],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[[.,.],.],.]],.] => [[],[[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]] => [[[]],[],[[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [[[]],[],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => [[[]],[[[]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [[[]],[[],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[]]],[],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => [[[[]]],[[]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => [[[[[]]]],[],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => [[[[],[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[1,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],.],[.,.]] => [[[],[]],[],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [[[],[]],[[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[.,.]]],.],.] => [[[],[[]]],[],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => [[[[]],[]],[],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],.]],.],.] => [[[],[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,.]]] => [[],[],[],[[[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [[],[],[],[[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[.,.]],[.,.]] => [[],[],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => [[],[],[[[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],.]],.] => [[],[],[[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[.,.]],.],[.,.]] => [[],[[]],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [[],[[]],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,.]]],.],.] => [[],[[[]]],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],.]],.],.] => [[],[[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,[.,.]],.],.],[.,.]] => [[[]],[],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => [[[]],[],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.] => [[[]],[[]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => [[[[]]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],.]],.],.],.] => [[[],[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[.,.]] => [[],[],[],[],[[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => [[],[],[],[[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [[],[],[[]],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [[],[[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => [[[]],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => [[],[],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[[[[[]]]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [[[[[[[],[]]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [[[[[[],[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [[[[[[[]],[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [[[[[[],[],[]]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [[[[[],[[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [[[[[],[[],[]]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [[[[[[]],[[]]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [[[[[[[]]],[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [[[[[[],[]],[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[[[[],[],[[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [[[[[],[[]],[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [[[[[[]],[],[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[[[[],[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[[[],[[[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[[[],[[[],[]]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[[[],[[],[[]]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[[[],[[[]],[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[[[],[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[[[[]],[[[]]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[[[[]],[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [[[[[[]]],[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [[[[[[[]]]],[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [[[[[[],[]]],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[[[[],[]],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[[[[],[[]]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [[[[[[]],[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[[[[],[],[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[[[],[],[[[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[[[],[],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[[[],[[]],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[[[],[[[]]],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[[[],[[],[]],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[[[[]],[],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[[[[]],[[]],[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [[[[[[]]],[],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[[[[],[]],[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[[[],[],[],[[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[[[],[],[[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[[[],[[]],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[[[[]],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[[[],[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [[[],[[[[[]]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [[[],[[[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [[[],[[[],[[]]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [[[],[[[[]],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [[[],[[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [[[],[[],[[[]]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [[[],[[],[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [[[],[[[]],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [[[],[[[[]]],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [[[],[[[],[]],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [[[],[[],[],[[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [[[],[[],[[]],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [[[],[[[]],[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] => [[[],[[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [[[[]],[[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [[[[]],[[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [[[[]],[[],[[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [[[[]],[[[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [[[[]],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [[[[[]]],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [[[[[]]],[[],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [[[[[[]]]],[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [[[[[[[]]]]],[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [[[[[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [[[[[],[]]],[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [[[[[],[[]]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [[[[[[]],[]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [[[[[],[],[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [[[[],[]],[[[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [[[[],[]],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [[[[],[[]]],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [[[[],[[[]]]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [[[[],[[],[]]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [[[[[]],[]],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [[[[[]],[[]]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [[[[[[]]],[]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [[[[[],[]],[]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [[[[],[],[]],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [[[[],[],[[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [[[[],[[]],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [[[[[]],[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] => [[[[],[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [[[],[],[[[[]]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [[[],[],[[[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [[[],[],[[],[[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [[[],[],[[[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] => [[[],[],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [[[],[[]],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [[[],[[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [[[],[[[]]],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [[[],[[[[]]]],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [[[],[[[],[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [[[],[[],[]],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [[[],[[],[[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [[[],[[[]],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] => [[[],[[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [[[[]],[],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [[[[]],[],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [[[[]],[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [[[[]],[[[]]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [[[[]],[[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [[[[[]]],[],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [[[[[]]],[[]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [[[[[[]]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [[[[[],[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [[[[],[]],[],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [[[[],[]],[[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [[[[],[[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [[[[[]],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => [[[[],[],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [[[],[],[],[[[]]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] => [[[],[],[],[[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [[[],[],[[]],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [[[],[],[[[]]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] => [[[],[],[[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [[[],[[]],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [[[],[[]],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [[[],[[[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] => [[[],[[],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [[[[]],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [[[[]],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [[[[]],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [[[[[]]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] => [[[[],[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[[[[[.,.],.],.],.],[.,.]]] => [[[],[],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] => [[[],[],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] => [[[],[],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => [[[],[[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,.]],.],.],.],.]] => [[[[]],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] => [[[],[],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[],[[[[[[]]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[],[[[[[],[]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[],[[[[],[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[],[[[[[]],[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[],[[[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[],[[[],[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[],[[[],[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[],[[[[]],[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[],[[[[[]]],[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[],[[[[],[]],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[],[[[],[],[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[],[[[],[[]],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[],[[[[]],[],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[],[[[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[],[[],[[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[],[[],[[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[],[[],[[],[[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[],[[],[[[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[],[[],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[],[[[]],[[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[],[[[]],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [[],[[[[]]],[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [[],[[[[[]]]],[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [[],[[[[],[]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[],[[[],[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[]]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [[],[[[[]],[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[],[[[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[],[[],[],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[],[[],[],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[],[[],[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[],[[],[[[]]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[],[[],[[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[],[[[]],[],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[],[[[]],[[]],[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [[],[[[[]]],[],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[],[[[],[]],[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[],[[],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[],[[],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[],[[],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[],[[[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => [[],[[],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[]],[[[[[]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [[[]],[[[[],[]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[]],[[[],[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [[[]],[[[[]],[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [[[]],[[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[]],[[],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [[[]],[[],[[],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[]],[[[]],[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [[[]],[[[[]]],[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [[[]],[[[],[]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [[[]],[[],[],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [[[]],[[],[[]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [[[]],[[[]],[],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => [[[]],[[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[[]]],[[[[]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [[[[]]],[[[],[]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[[]]],[[],[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[[]]],[[[]],[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [[[[]]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[[[]]]],[[[]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [[[[[]]]],[[],[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[[[[[]]]]],[[]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [[[[[[[]]]]]],[]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [[[[[[],[]]]]],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [[[[[],[]]]],[[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [[[[[],[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [[[[[[]],[]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [[[[[],[],[]]]],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[[],[]]],[[[]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [[[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [[[[],[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [[[[],[[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [[[[],[[],[]]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [[[[[]],[]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [[[[[]],[[]]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [[[[[[]]],[]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [[[[[],[]],[]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [[[[],[],[]]],[[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [[[[],[],[[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [[[[],[[]],[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [[[[[]],[],[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[[[[.,.],.],.],.]]],.] => [[[[],[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[]],[[[[]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [[[],[]],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [[[],[]],[[],[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [[[],[]],[[[]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => [[[],[]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[],[[]]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [[[],[[]]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [[[],[[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [[[],[[[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [[[],[[[],[]]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [[[],[[],[]]],[[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [[[],[[],[[]]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [[[],[[[]],[]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,.],[[[.,.],.],.]]],.] => [[[],[[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[[]],[]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [[[[]],[]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [[[[]],[[]]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [[[[]],[[[]]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [[[[]],[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [[[[[]]],[]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [[[[[]]],[[]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [[[[[[]]]],[]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [[[[[],[]]],[]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [[[[],[]],[]],[[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [[[[],[]],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [[[[],[[]]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [[[[[]],[]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => [[[[],[],[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [[[],[],[]],[[[]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => [[[],[],[]],[[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [[[],[],[[]]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [[[],[],[[[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,.],.],[[.,.],.]]],.] => [[[],[],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [[[],[[]],[]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [[[],[[]],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [[[],[[[]]],[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,.],[[.,.],.]],.]],.] => [[[],[[],[]],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [[[[]],[],[]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [[[[]],[],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [[[[]],[[]],[]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [[[[[]]],[],[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => [[[[],[]],[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => [[[],[],[],[]],[[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[[[[.,.],.],.],[.,.]]],.] => [[[],[],[],[[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[[[[.,.],.],[.,.]],.]],.] => [[[],[],[[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],[.,.]],.],.]],.] => [[[],[[]],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => [[[[]],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[[[[.,.],.],.],.],.]],.] => [[[],[],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[],[],[[[[[]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[],[],[[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[],[],[[[],[[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[],[],[[[[]],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[],[],[[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[],[],[[],[[[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[],[],[[],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[],[],[[[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[],[],[[[[]]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[],[],[[[],[]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[],[],[[],[],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[],[],[[],[[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[],[],[[[]],[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => [[],[],[[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[],[[]],[[[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[],[[]],[[[],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[],[[]],[[],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[],[[]],[[[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[],[[]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[],[[[]]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[],[[[]]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [[],[[[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [[],[[[[[]]]]],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [[],[[[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[],[[[],[]]],[[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [[],[[[],[[]]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [[],[[[[]],[]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[[[.,.],.],.]]],.] => [[],[[[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[],[[],[]],[[[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[],[[],[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[],[[],[[]]],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [[],[[],[[[]]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[[.,.],.]]],.] => [[],[[],[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[],[[[]],[]],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [[],[[[]],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [[],[[[[]]],[]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[[.,.],.]],.]],.] => [[],[[[],[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[],[[],[],[]],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[[[.,.],.],[.,.]]],.] => [[],[[],[],[[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[[[.,.],[.,.]],.]],.] => [[],[[],[[]],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,.]],.],.]],.] => [[],[[[]],[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[[[[.,.],.],.],.]],.] => [[],[[],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[]],[],[[[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [[[]],[],[[[],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [[[]],[],[[],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [[[]],[],[[[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => [[[]],[],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[]],[[]],[[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [[[]],[[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[]],[[[]]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [[[]],[[[[]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [[[]],[[[],[]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [[[]],[[],[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [[[]],[[],[[]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [[[]],[[[]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[[[.,.],.],.]],.] => [[[]],[[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[]]],[],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[]]],[],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[]]],[[]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [[[[]]],[[[]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [[[[]]],[[],[]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [[[[[]]]],[],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [[[[[]]]],[[]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [[[[[[]]]]],[],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [[[[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[]]],[],[[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [[[[],[]]],[[]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [[[[],[[]]]],[],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [[[[[]],[]]],[],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[[[.,.],.],.]]],.],.] => [[[[],[],[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [[[],[]],[],[[[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => [[[],[]],[],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [[[],[]],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [[[],[]],[[[]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[[.,.],.]],[[.,.],.]],.] => [[[],[]],[[],[]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [[[],[[]]],[],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [[[],[[]]],[[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [[[],[[[]]]],[],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],[[.,.],.]]],.],.] => [[[],[[],[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [[[[]],[]],[],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [[[[]],[]],[[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [[[[]],[[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [[[[[]]],[]],[],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => [[[[],[]],[]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => [[[],[],[]],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => [[[],[],[]],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[[[.,.],.],[.,.]]],.],.] => [[[],[],[[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[[[.,.],[.,.]],.]],.],.] => [[[],[[]],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => [[[[]],[],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[[[[.,.],.],.],.]],.],.] => [[[],[],[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[],[],[],[[[[]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[],[],[],[[[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[],[],[],[[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[],[],[],[[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => [[],[],[],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[],[],[[]],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[],[],[[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[],[],[[[]]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [[],[],[[[[]]]],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[[.,.],.]]],.] => [[],[],[[[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[],[],[[],[]],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,.],.],[[.,.],[.,.]]],.] => [[],[],[[],[[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,.]],.]],.] => [[],[],[[[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,.],.],[[[.,.],.],.]],.] => [[],[],[[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[],[[]],[],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[],[[]],[],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[],[[]],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [[],[[]],[[[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,.]],[[.,.],.]],.] => [[],[[]],[[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[],[[[]]],[],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [[],[[[]]],[[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [[],[[[[]]]],[],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[[.,.],.]]],.],.] => [[],[[[],[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[],[[],[]],[],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],.] => [[],[[],[]],[[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,.],[[.,.],[.,.]]],.],.] => [[],[[],[[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,.]],.]],.],.] => [[],[[[]],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,.],[[[.,.],.],.]],.],.] => [[],[[],[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [[[]],[],[],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => [[[]],[],[],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [[[]],[],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [[[]],[],[[[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,.]],.],[[.,.],.]],.] => [[[]],[],[[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [[[]],[[]],[],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [[[]],[[]],[[]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [[[]],[[[]]],[],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,.]],[[.,.],.]],.],.] => [[[]],[[],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [[[[]]],[],[],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [[[[]]],[],[[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [[[[]]],[[]],[],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [[[[[]]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => [[[[],[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => [[[],[]],[],[],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,.]],.] => [[[],[]],[],[[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,.]],.],.] => [[[],[]],[[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[[.,.],[.,.]]],.],.],.] => [[[],[[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => [[[[]],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[[[.,.],.],.]],.],.],.] => [[[],[],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[],[],[],[],[[[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => [[],[],[],[],[[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[],[],[],[[]],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,.]]],.] => [[],[],[],[[[]]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[[[.,.],.],.],[[.,.],.]],.] => [[],[],[],[[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[],[],[[]],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,.]],.] => [[],[],[[]],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,.]]],.],.] => [[],[],[[[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[[[.,.],.],[[.,.],.]],.],.] => [[],[],[[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[],[[]],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => [[],[[]],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,.]],.],.] => [[],[[]],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,.]]],.],.],.] => [[],[[[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[[.,.],[[.,.],.]],.],.],.] => [[],[[],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => [[[]],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,.]],.],.],[.,.]],.] => [[[]],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,.]],.],.] => [[[]],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,.]],.],.],.] => [[[]],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => [[[[]]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[[.,.],.]],.],.],.],.] => [[[],[]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[[[[.,.],.],.],.],.],[.,.]] => [[],[],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[[[[.,.],.],.],.],[.,.]],.] => [[],[],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[[[[.,.],.],.],[.,.]],.],.] => [[],[],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[[[.,.],.],[.,.]],.],.],.] => [[],[],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[[[[.,.],[.,.]],.],.],.],.] => [[],[[]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,.]],.],.],.],.],.] => [[[]],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[[[[[.,.],.],.],.],.],.],.] => [[],[],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[[[[[[[]]]]]]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[[[[[[[],[]]]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [[[[[[[],[[]]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[[[[[[]],[]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [[[[[[[],[],[]]]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [[[[[[],[[[]]]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [[[[[[],[[],[]]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [[[[[[[]],[[]]]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [[[[[[[[]]],[]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [[[[[[[],[]],[]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [[[[[[],[],[[]]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [[[[[[],[[]],[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [[[[[[[]],[],[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [[[[[[],[],[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [[[[[],[[[[]]]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [[[[[],[[[],[]]]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [[[[[],[[],[[]]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [[[[[],[[[]],[]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [[[[[],[[],[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [[[[[[]],[[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [[[[[[]],[[],[]]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [[[[[[[]]],[[]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [[[[[[[[]]]],[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [[[[[[[],[]]],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [[[[[[],[]],[[]]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [[[[[[],[[]]],[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [[[[[[[]],[]],[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [[[[[[],[],[]],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [[[[[],[],[[[]]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [[[[[],[],[[],[]]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [[[[[],[[]],[[]]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [[[[[],[[[]]],[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [[[[[],[[],[]],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [[[[[[]],[],[[]]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [[[[[[]],[[]],[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [[[[[[[]]],[],[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [[[[[[],[]],[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [[[[[],[],[],[[]]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [[[[[],[],[[]],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [[[[[],[[]],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [[[[[[]],[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [[[[[],[],[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [[[[],[[[[[]]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [[[[],[[[[],[]]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [[[[],[[[],[[]]]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [[[[],[[[[]],[]]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [[[[],[[[],[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [[[[],[[],[[[]]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [[[[],[[],[[],[]]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [[[[],[[[]],[[]]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [[[[],[[[[]]],[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [[[[],[[[],[]],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [[[[],[[],[],[[]]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [[[[],[[],[[]],[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [[[[],[[[]],[],[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [[[[],[[],[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [[[[[]],[[[[]]]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [[[[[]],[[[],[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [[[[[]],[[],[[]]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [[[[[]],[[[]],[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [[[[[]],[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [[[[[[]]],[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [[[[[[]]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [[[[[[[]]]],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [[[[[[[[]]]]],[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [[[[[[[],[]]]],[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [[[[[[],[]]],[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [[[[[[],[[]]]],[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [[[[[[[]],[]]],[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [[[[[[],[],[]]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [[[[[],[]],[[[]]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [[[[[],[]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [[[[[],[[]]],[[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [[[[[],[[[]]]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [[[[[],[[],[]]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [[[[[[]],[]],[[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [[[[[[]],[[]]],[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [[[[[[[]]],[]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [[[[[[],[]],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [[[[[],[],[]],[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [[[[[],[],[[]]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [[[[[],[[]],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [[[[[[]],[],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [[[[[],[],[],[]],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [[[[],[],[[[[]]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [[[[],[],[[[],[]]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [[[[],[],[[],[[]]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [[[[],[],[[[]],[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [[[[],[],[[],[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [[[[],[[]],[[[]]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [[[[],[[]],[[],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [[[[],[[[]]],[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [[[[],[[[[]]]],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [[[[],[[[],[]]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [[[[],[[],[]],[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [[[[],[[],[[]]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [[[[],[[[]],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [[[[],[[],[],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [[[[[]],[],[[[]]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [[[[[]],[],[[],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [[[[[]],[[]],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [[[[[]],[[[]]],[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [[[[[]],[[],[]],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [[[[[[]]],[],[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [[[[[[]]],[[]],[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [[[[[[[]]]],[],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [[[[[[],[]]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [[[[[],[]],[],[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [[[[[],[]],[[]],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [[[[[],[[]]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [[[[[[]],[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [[[[[],[],[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [[[[],[],[],[[[]]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [[[[],[],[],[[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [[[[],[],[[]],[[]]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [[[[],[],[[[]]],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [[[[],[],[[],[]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [[[[],[[]],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [[[[],[[]],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [[[[],[[[]]],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [[[[],[[],[]],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [[[[[]],[],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [[[[[]],[],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [[[[[]],[[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [[[[[[]]],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [[[[[],[]],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [[[[],[],[],[],[[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [[[[],[],[],[[]],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [[[[],[],[[]],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [[[[],[[]],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [[[[[]],[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [[[[],[],[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [[[],[[[[[[]]]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [[[],[[[[[],[]]]]]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [[[],[[[[],[[]]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [[[],[[[[[]],[]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [[[],[[[[],[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [[[],[[[],[[[]]]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [[[],[[[],[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [[[],[[[[]],[[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [[[],[[[[[]]],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [[[],[[[[],[]],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [[[],[[[],[],[[]]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [[[],[[[],[[]],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [[[],[[[[]],[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [[[],[[[],[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [[[],[[],[[[[]]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [[[],[[],[[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [[[],[[],[[],[[]]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [[[],[[],[[[]],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [[[],[[],[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [[[],[[[]],[[[]]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [[[],[[[]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [[[],[[[[]]],[[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [[[],[[[[[]]]],[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [[[],[[[[],[]]],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [[[],[[[],[]],[[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [[[],[[[],[[]]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [[[],[[[[]],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [[[],[[[],[],[]],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [[[],[[],[],[[[]]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [[[],[[],[],[[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [[[],[[],[[]],[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [[[],[[],[[[]]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [[[],[[],[[],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [[[],[[[]],[],[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [[[],[[[]],[[]],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [[[],[[[[]]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [[[],[[[],[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [[[],[[],[],[],[[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [[[],[[],[],[[]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [[[],[[],[[]],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [[[],[[[]],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [[[],[[],[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [[[[]],[[[[[]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [[[[]],[[[[],[]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [[[[]],[[[],[[]]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [[[[]],[[[[]],[]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [[[[]],[[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [[[[]],[[],[[[]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [[[[]],[[],[[],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [[[[]],[[[]],[[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [[[[]],[[[[]]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [[[[]],[[[],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [[[[]],[[],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [[[[]],[[],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [[[[]],[[[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [[[[]],[[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [[[[[]]],[[[[]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [[[[[]]],[[[],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [[[[[]]],[[],[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [[[[[]]],[[[]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [[[[[]]],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [[[[[[]]]],[[[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [[[[[[]]]],[[],[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [[[[[[[]]]]],[[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [[[[[[[[]]]]]],[]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [[[[[[[],[]]]]],[]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [[[[[[],[]]]],[[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [[[[[[],[[]]]]],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [[[[[[[]],[]]]],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [[[[[[],[],[]]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [[[[[],[]]],[[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [[[[[],[]]],[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [[[[[],[[]]]],[[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [[[[[],[[[]]]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [[[[[],[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [[[[[[]],[]]],[[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [[[[[[]],[[]]]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [[[[[[[]]],[]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [[[[[[],[]],[]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [[[[[],[],[]]],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [[[[[],[],[[]]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [[[[[],[[]],[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [[[[[[]],[],[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [[[[[],[],[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [[[[],[]],[[[[]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [[[[],[]],[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [[[[],[]],[[],[[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [[[[],[]],[[[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [[[[],[]],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [[[[],[[]]],[[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [[[[],[[]]],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [[[[],[[[]]]],[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [[[[],[[[[]]]]],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [[[[],[[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [[[[],[[],[]]],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [[[[],[[],[[]]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [[[[],[[[]],[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [[[[],[[],[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [[[[[]],[]],[[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [[[[[]],[]],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [[[[[]],[[]]],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [[[[[]],[[[]]]],[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [[[[[]],[[],[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [[[[[[]]],[]],[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [[[[[[]]],[[]]],[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [[[[[[[]]]],[]],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [[[[[[],[]]],[]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [[[[[],[]],[]],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [[[[[],[]],[[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [[[[[],[[]]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [[[[[[]],[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [[[[[],[],[]],[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [[[[],[],[]],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [[[[],[],[]],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [[[[],[],[[]]],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [[[[],[],[[[]]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [[[[],[],[[],[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [[[[],[[]],[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [[[[],[[]],[[]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [[[[],[[[]]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [[[[],[[],[]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [[[[[]],[],[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [[[[[]],[],[[]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [[[[[]],[[]],[]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [[[[[[]]],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [[[[[],[]],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [[[[],[],[],[]],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [[[[],[],[],[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [[[[],[],[[]],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [[[[],[[]],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [[[[[]],[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [[[[],[],[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [[[],[],[[[[[]]]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [[[],[],[[[[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [[[],[],[[[],[[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [[[],[],[[[[]],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [[[],[],[[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [[[],[],[[],[[[]]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [[[],[],[[],[[],[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [[[],[],[[[]],[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [[[],[],[[[[]]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [[[],[],[[[],[]],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [[[],[],[[],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [[[],[],[[],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [[[],[],[[[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [[[],[],[[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [[[],[[]],[[[[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [[[],[[]],[[[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [[[],[[]],[[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [[[],[[]],[[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [[[],[[]],[[],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [[[],[[[]]],[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [[[],[[[]]],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [[[],[[[[]]]],[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [[[],[[[[[]]]]],[]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [[[],[[[[],[]]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [[[],[[[],[]]],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [[[],[[[],[[]]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [[[],[[[[]],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [[[],[[[],[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [[[],[[],[]],[[[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [[[],[[],[]],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [[[],[[],[[]]],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [[[],[[],[[[]]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [[[],[[],[[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [[[],[[[]],[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [[[],[[[]],[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [[[],[[[[]]],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [[[],[[[],[]],[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [[[],[[],[],[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [[[],[[],[],[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [[[],[[],[[]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [[[],[[[]],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [[[],[[],[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [[[[]],[],[[[[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [[[[]],[],[[[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [[[[]],[],[[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [[[[]],[],[[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [[[[]],[],[[],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [[[[]],[[]],[[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [[[[]],[[]],[[],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [[[[]],[[[]]],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [[[[]],[[[[]]]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [[[[]],[[[],[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [[[[]],[[],[]],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [[[[]],[[],[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [[[[]],[[[]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [[[[]],[[],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [[[[[]]],[],[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [[[[[]]],[],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [[[[[]]],[[]],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [[[[[]]],[[[]]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [[[[[]]],[[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [[[[[[]]]],[],[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [[[[[[]]]],[[]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [[[[[[[]]]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [[[[[[],[]]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [[[[[],[]]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [[[[[],[]]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [[[[[],[[]]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [[[[[[]],[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [[[[[],[],[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [[[[],[]],[],[[[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [[[[],[]],[],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [[[[],[]],[[]],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [[[[],[]],[[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [[[[],[]],[[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [[[[],[[]]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [[[[],[[]]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [[[[],[[[]]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [[[[],[[],[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [[[[[]],[]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [[[[[]],[]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [[[[[]],[[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [[[[[[]]],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [[[[[],[]],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [[[[],[],[]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [[[[],[],[]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [[[[],[],[[]]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [[[[],[[]],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [[[[[]],[],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [[[[],[],[],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [[[],[],[],[[[[]]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [[[],[],[],[[[],[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [[[],[],[],[[],[[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [[[],[],[],[[[]],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [[[],[],[],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [[[],[],[[]],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [[[],[],[[]],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [[[],[],[[[]]],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [[[],[],[[[[]]]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [[[],[],[[[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [[[],[],[[],[]],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [[[],[],[[],[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [[[],[],[[[]],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [[[],[],[[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [[[],[[]],[],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [[[],[[]],[],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [[[],[[]],[[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [[[],[[]],[[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [[[],[[]],[[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [[[],[[[]]],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [[[],[[[]]],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [[[],[[[[]]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [[[],[[[],[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [[[],[[],[]],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [[[],[[],[]],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [[[],[[],[[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [[[],[[[]],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [[[],[[],[],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [[[[]],[],[],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [[[[]],[],[],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [[[[]],[],[[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [[[[]],[],[[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [[[[]],[],[[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [[[[]],[[]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [[[[]],[[]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [[[[]],[[[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [[[[]],[[],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [[[[[]]],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [[[[[]]],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [[[[[]]],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [[[[[[]]]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [[[[[],[]]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [[[[],[]],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [[[[],[]],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [[[[],[]],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [[[[],[[]]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [[[[[]],[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [[[[],[],[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [[[],[],[],[],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [[[],[],[],[],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [[[],[],[],[[]],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [[[],[],[],[[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [[[],[],[],[[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [[[],[],[[]],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [[[],[],[[]],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [[[],[],[[[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [[[],[],[[],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [[[],[[]],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [[[],[[]],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [[[],[[]],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [[[],[[[]]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [[[],[[],[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [[[[]],[],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [[[[]],[],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [[[[]],[],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [[[[]],[[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [[[[[]]],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [[[[],[]],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [[[],[],[],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [[[],[],[],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [[[],[],[[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [[[],[[]],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [[[[]],[],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[[[[[[[]]]]]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [[],[[[[[[],[]]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [[],[[[[[],[[]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [[],[[[[[[]],[]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [[],[[[[[],[],[]]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [[],[[[[],[[[]]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [[],[[[[],[[],[]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [[],[[[[[]],[[]]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [[],[[[[[[]]],[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [[],[[[[[],[]],[]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [[],[[[[],[],[[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [[],[[[[],[[]],[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [[],[[[[[]],[],[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [[],[[[[],[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [[],[[[],[[[[]]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [[],[[[],[[[],[]]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [[],[[[],[[],[[]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [[],[[[],[[[]],[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [[],[[[],[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [[],[[[[]],[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [[],[[[[]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [[],[[[[[]]],[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [[],[[[[[[]]]],[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [[],[[[[[],[]]],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [[],[[[[],[]],[[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [[],[[[[],[[]]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [[],[[[[[]],[]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [[],[[[[],[],[]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [[],[[[],[],[[[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [[],[[[],[],[[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [[],[[[],[[]],[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [[],[[[],[[[]]],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [[],[[[],[[],[]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [[],[[[[]],[],[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [[],[[[[]],[[]],[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [[],[[[[[]]],[],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [[],[[[[],[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [[],[[[],[],[],[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [[],[[[],[],[[]],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [[],[[[],[[]],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [[],[[[[]],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [[],[[[],[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [[],[[],[[[[[]]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [[],[[],[[[[],[]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [[],[[],[[[],[[]]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [[],[[],[[[[]],[]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [[],[[],[[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [[],[[],[[],[[[]]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [[],[[],[[],[[],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [[],[[],[[[]],[[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [[],[[],[[[[]]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [[],[[],[[[],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [[],[[],[[],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [[],[[],[[],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [[],[[],[[[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [[],[[],[[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [[],[[[]],[[[[]]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [[],[[[]],[[[],[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [[],[[[]],[[],[[]]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [[],[[[]],[[[]],[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [[],[[[]],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [[],[[[[]]],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [[],[[[[]]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [[],[[[[[]]]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [[],[[[[[[]]]]],[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [[],[[[[[],[]]]],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [[],[[[[],[]]],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [[],[[[[],[[]]]],[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [[],[[[[[]],[]]],[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [[],[[[[],[],[]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [[],[[[],[]],[[[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [[],[[[],[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [[],[[[],[[]]],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [[],[[[],[[[]]]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [[],[[[],[[],[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [[],[[[[]],[]],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [[],[[[[]],[[]]],[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [[],[[[[[]]],[]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [[],[[[[],[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [[],[[[],[],[]],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [[],[[[],[],[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [[],[[[],[[]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [[],[[[[]],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [[],[[[],[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [[],[[],[],[[[[]]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [[],[[],[],[[[],[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [[],[[],[],[[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [[],[[],[],[[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [[],[[],[],[[],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [[],[[],[[]],[[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [[],[[],[[]],[[],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [[],[[],[[[]]],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [[],[[],[[[[]]]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [[],[[],[[[],[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [[],[[],[[],[]],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [[],[[],[[],[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [[],[[],[[[]],[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [[],[[],[[],[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [[],[[[]],[],[[[]]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [[],[[[]],[],[[],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [[],[[[]],[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [[],[[[]],[[[]]],[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [[],[[[]],[[],[]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [[],[[[[]]],[],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [[],[[[[]]],[[]],[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [[],[[[[[]]]],[],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [[],[[[[],[]]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [[],[[[],[]],[],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [[],[[[],[]],[[]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [[],[[[],[[]]],[],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [[],[[[[]],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [[],[[[],[],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [[],[[],[],[],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [[],[[],[],[],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [[],[[],[],[[]],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [[],[[],[],[[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [[],[[],[],[[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [[],[[],[[]],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [[],[[],[[]],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [[],[[],[[[]]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [[],[[],[[],[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [[],[[[]],[],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [[],[[[]],[],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [[],[[[]],[[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [[],[[[[]]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [[],[[[],[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [[],[[],[],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [[],[[],[],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [[],[[],[],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [[],[[],[[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [[],[[[]],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [[],[[],[],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [[[]],[[[[[[]]]]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [[[]],[[[[[],[]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [[[]],[[[[],[[]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [[[]],[[[[[]],[]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [[[]],[[[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [[[]],[[[],[[[]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [[[]],[[[],[[],[]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [[[]],[[[[]],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [[[]],[[[[[]]],[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [[[]],[[[[],[]],[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [[[]],[[[],[],[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [[[]],[[[],[[]],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [[[]],[[[[]],[],[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [[[]],[[[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [[[]],[[],[[[[]]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [[[]],[[],[[[],[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [[[]],[[],[[],[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [[[]],[[],[[[]],[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [[[]],[[],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [[[]],[[[]],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [[[]],[[[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [[[]],[[[[]]],[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [[[]],[[[[[]]]],[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [[[]],[[[[],[]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [[[]],[[[],[]],[[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [[[]],[[[],[[]]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [[[]],[[[[]],[]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [[[]],[[[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [[[]],[[],[],[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [[[]],[[],[],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [[[]],[[],[[]],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [[[]],[[],[[[]]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [[[]],[[],[[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [[[]],[[[]],[],[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [[[]],[[[]],[[]],[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [[[]],[[[[]]],[],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [[[]],[[[],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [[[]],[[],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [[[]],[[],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [[[]],[[],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [[[]],[[[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [[[]],[[],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [[[[]]],[[[[[]]]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [[[[]]],[[[[],[]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [[[[]]],[[[],[[]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [[[[]]],[[[[]],[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [[[[]]],[[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [[[[]]],[[],[[[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [[[[]]],[[],[[],[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [[[[]]],[[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [[[[]]],[[[[]]],[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [[[[]]],[[[],[]],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [[[[]]],[[],[],[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [[[[]]],[[],[[]],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [[[[]]],[[[]],[],[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [[[[]]],[[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [[[[[]]]],[[[[]]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [[[[[]]]],[[[],[]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [[[[[]]]],[[],[[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [[[[[]]]],[[[]],[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [[[[[]]]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [[[[[[]]]]],[[[]]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [[[[[[]]]]],[[],[]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [[[[[[[]]]]]],[[]]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[[[[[[[]]]]]]],[]] => ([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [[[[[[[],[]]]]]],[]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [[[[[[],[]]]]],[[]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [[[[[[],[[]]]]]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [[[[[[[]],[]]]]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [[[[[[],[],[]]]]],[]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [[[[[],[]]]],[[[]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [[[[[],[]]]],[[],[]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [[[[[],[[]]]]],[[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [[[[[],[[[]]]]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [[[[[],[[],[]]]]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [[[[[[]],[]]]],[[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [[[[[[]],[[]]]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [[[[[[[]]],[]]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [[[[[[],[]],[]]]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [[[[[],[],[]]]],[[]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [[[[[],[],[[]]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [[[[[],[[]],[]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [[[[[[]],[],[]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [[[[[],[],[],[]]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [[[[],[]]],[[[[]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [[[[],[]]],[[[],[]]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [[[[],[]]],[[],[[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [[[[],[]]],[[[]],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [[[[],[]]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [[[[],[[]]]],[[[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [[[[],[[]]]],[[],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [[[[],[[[]]]]],[[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [[[[],[[[[]]]]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [[[[],[[[],[]]]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [[[[],[[],[]]]],[[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [[[[],[[],[[]]]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [[[[],[[[]],[]]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [[[[],[[],[],[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [[[[[]],[]]],[[[]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [[[[[]],[]]],[[],[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [[[[[]],[[]]]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [[[[[]],[[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [[[[[]],[[],[]]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [[[[[[]]],[]]],[[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [[[[[[]]],[[]]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [[[[[[[]]]],[]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [[[[[[],[]]],[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [[[[[],[]],[]]],[[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [[[[[],[]],[[]]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [[[[[],[[]]],[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [[[[[[]],[]],[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [[[[[],[],[]],[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [[[[],[],[]]],[[[]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [[[[],[],[]]],[[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [[[[],[],[[]]]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [[[[],[],[[[]]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] => [[[[],[],[[],[]]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [[[[],[[]],[]]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [[[[],[[]],[[]]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [[[[],[[[]]],[]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [[[[],[[],[]],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [[[[[]],[],[]]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [[[[[]],[],[[]]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [[[[[]],[[]],[]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [[[[[[]]],[],[]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [[[[[],[]],[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [[[[],[],[],[]]],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [[[[],[],[],[[]]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [[[[],[],[[]],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] => [[[[],[[]],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] => [[[[[]],[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [[[[],[],[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [[[],[]],[[[[[]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [[[],[]],[[[[],[]]]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [[[],[]],[[[],[[]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [[[],[]],[[[[]],[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [[[],[]],[[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [[[],[]],[[],[[[]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [[[],[]],[[],[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [[[],[]],[[[]],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [[[],[]],[[[[]]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [[[],[]],[[[],[]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [[[],[]],[[],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [[[],[]],[[],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [[[],[]],[[[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [[[],[]],[[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [[[],[[]]],[[[[]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [[[],[[]]],[[[],[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [[[],[[]]],[[],[[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [[[],[[]]],[[[]],[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [[[],[[]]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [[[],[[[]]]],[[[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [[[],[[[]]]],[[],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [[[],[[[[]]]]],[[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [[[],[[[[[]]]]]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [[[],[[[[],[]]]]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [[[],[[[],[]]]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [[[],[[[],[[]]]]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [[[],[[[[]],[]]]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [[[],[[[],[],[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [[[],[[],[]]],[[[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [[[],[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [[[],[[],[[]]]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [[[],[[],[[[]]]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [[[],[[],[[],[]]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [[[],[[[]],[]]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [[[],[[[]],[[]]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [[[],[[[[]]],[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [[[],[[[],[]],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [[[],[[],[],[]]],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [[[],[[],[],[[]]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [[[],[[],[[]],[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [[[],[[[]],[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [[[],[[],[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [[[[]],[]],[[[[]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [[[[]],[]],[[[],[]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [[[[]],[]],[[],[[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [[[[]],[]],[[[]],[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [[[[]],[]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [[[[]],[[]]],[[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [[[[]],[[]]],[[],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [[[[]],[[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [[[[]],[[[[]]]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [[[[]],[[[],[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [[[[]],[[],[]]],[[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [[[[]],[[],[[]]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [[[[]],[[[]],[]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [[[[]],[[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [[[[[]]],[]],[[[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [[[[[]]],[]],[[],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [[[[[]]],[[]]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [[[[[]]],[[[]]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [[[[[]]],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [[[[[[]]]],[]],[[]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [[[[[[]]]],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [[[[[[[]]]]],[]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [[[[[[],[]]]],[]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [[[[[],[]]],[]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [[[[[],[]]],[[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [[[[[],[[]]]],[]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [[[[[[]],[]]],[]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [[[[[],[],[]]],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [[[[],[]],[]],[[[]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [[[[],[]],[]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [[[[],[]],[[]]],[[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [[[[],[]],[[[]]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [[[[],[]],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [[[[],[[]]],[]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [[[[],[[]]],[[]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [[[[],[[[]]]],[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [[[[],[[],[]]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [[[[[]],[]],[]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [[[[[]],[]],[[]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [[[[[]],[[]]],[]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [[[[[[]]],[]],[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [[[[[],[]],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [[[[],[],[]],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [[[[],[],[]],[[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [[[[],[],[[]]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [[[[],[[]],[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [[[[[]],[],[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [[[[],[],[],[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [[[],[],[]],[[[[]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [[[],[],[]],[[[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [[[],[],[]],[[],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [[[],[],[]],[[[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [[[],[],[]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [[[],[],[[]]],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [[[],[],[[]]],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [[[],[],[[[]]]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [[[],[],[[[[]]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [[[],[],[[[],[]]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [[[],[],[[],[]]],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [[[],[],[[],[[]]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [[[],[],[[[]],[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [[[],[],[[],[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [[[],[[]],[]],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [[[],[[]],[]],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [[[],[[]],[[]]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [[[],[[]],[[[]]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [[[],[[]],[[],[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [[[],[[[]]],[]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [[[],[[[]]],[[]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [[[],[[[[]]]],[]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [[[],[[[],[]]],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [[[],[[],[]],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [[[],[[],[]],[[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [[[],[[],[[]]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [[[],[[[]],[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] => [[[],[[],[],[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [[[[]],[],[]],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [[[[]],[],[]],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [[[[]],[],[[]]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [[[[]],[],[[[]]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [[[[]],[],[[],[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[]],[[]],[]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [[[[]],[[]],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [[[[]],[[[]]],[]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [[[[]],[[],[]],[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [[[[[]]],[],[]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [[[[[]]],[],[[]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [[[[[]]],[[]],[]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [[[[[[]]]],[],[]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [[[[[],[]]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [[[[],[]],[],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [[[[],[]],[],[[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [[[[],[]],[[]],[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [[[[],[[]]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [[[[[]],[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] => [[[[],[],[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [[[],[],[],[]],[[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [[[],[],[],[]],[[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [[[],[],[],[[]]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [[[],[],[],[[[]]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [[[],[],[],[[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [[[],[],[[]],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [[[],[],[[]],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] => [[[],[],[[[]]],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [[[],[],[[],[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [[[],[[]],[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [[[],[[]],[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [[[],[[]],[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [[[],[[[]]],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] => [[[],[[],[]],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [[[[]],[],[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [[[[]],[],[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [[[[]],[],[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [[[[]],[[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [[[[[]]],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [[[[],[]],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [[[],[],[],[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [[[],[],[],[],[[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [[[],[],[],[[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [[[],[],[[]],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [[[],[[]],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [[[[]],[],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [[[],[],[],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [[],[],[[[[[[]]]]]]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [[],[],[[[[[],[]]]]]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [[],[],[[[[],[[]]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [[],[],[[[[[]],[]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [[],[],[[[[],[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [[],[],[[[],[[[]]]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [[],[],[[[],[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [[],[],[[[[]],[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [[],[],[[[[[]]],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [[],[],[[[[],[]],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [[],[],[[[],[],[[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [[],[],[[[],[[]],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [[],[],[[[[]],[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [[],[],[[[],[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [[],[],[[],[[[[]]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [[],[],[[],[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [[],[],[[],[[],[[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [[],[],[[],[[[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [[],[],[[],[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [[],[],[[[]],[[[]]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [[],[],[[[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [[],[],[[[[]]],[[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [[],[],[[[[[]]]],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [[],[],[[[[],[]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [[],[],[[[],[]],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [[],[],[[[],[[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [[],[],[[[[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [[],[],[[[],[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [[],[],[[],[],[[[]]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [[],[],[[],[],[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [[],[],[[],[[]],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [[],[],[[],[[[]]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[[.,.],.]],.]] => [[],[],[[],[[],[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [[],[],[[[]],[],[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [[],[],[[[]],[[]],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [[],[],[[[[]]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [[],[],[[[],[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [[],[],[[],[],[],[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[[[.,.],.],[.,.]],.]] => [[],[],[[],[],[[]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [[[.,.],.],[[[[.,.],[.,.]],.],.]] => [[],[],[[],[[]],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [[],[],[[[]],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [[],[],[[],[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [[],[[]],[[[[[]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [[],[[]],[[[[],[]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [[],[[]],[[[],[[]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [[],[[]],[[[[]],[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [[],[[]],[[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [[],[[]],[[],[[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [[],[[]],[[],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [[],[[]],[[[]],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [[],[[]],[[[[]]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [[],[[]],[[[],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [[],[[]],[[],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [[],[[]],[[],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [[],[[]],[[[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [[],[[]],[[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [[],[[[]]],[[[[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [[],[[[]]],[[[],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [[],[[[]]],[[],[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [[],[[[]]],[[[]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [[],[[[]]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [[],[[[[]]]],[[[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [[],[[[[]]]],[[],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [[],[[[[[]]]]],[[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [[],[[[[[[]]]]]],[]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [[],[[[[[],[]]]]],[]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [[],[[[[],[]]]],[[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [[],[[[[],[[]]]]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [[],[[[[[]],[]]]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [[],[[[[],[],[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [[],[[[],[]]],[[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [[],[[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [[],[[[],[[]]]],[[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [[],[[[],[[[]]]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [[],[[[],[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [[],[[[[]],[]]],[[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [[],[[[[]],[[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [[[.,.],[.,[[.,[.,[.,.]]],.]]],.] => [[],[[[[[]]],[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [[],[[[[],[]],[]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [[],[[[],[],[]]],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [[],[[[],[],[[]]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [[],[[[],[[]],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [[],[[[[]],[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,[[[[.,.],.],.],.]]],.] => [[],[[[],[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [[],[[],[]],[[[[]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [[],[[],[]],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [[],[[],[]],[[],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [[],[[],[]],[[[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [[],[[],[]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [[],[[],[[]]],[[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [[],[[],[[]]],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [[],[[],[[[]]]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [[],[[],[[[[]]]]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [[],[[],[[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [[],[[],[[],[]]],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [[],[[],[[],[[]]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [[],[[],[[[]],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [[],[[],[[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [[],[[[]],[]],[[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [[],[[[]],[]],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [[],[[[]],[[]]],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [[],[[[]],[[[]]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [[],[[[]],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [[],[[[[]]],[]],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [[],[[[[]]],[[]]],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [[],[[[[[]]]],[]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [[],[[[[],[]]],[]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [[],[[[],[]],[]],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [[],[[[],[]],[[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [[],[[[],[[]]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [[],[[[[]],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [[],[[[],[],[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [[],[[],[],[]],[[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [[],[[],[],[]],[[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [[],[[],[],[[]]],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],[.,[.,.]]]],.] => [[],[[],[],[[[]]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [[],[[],[],[[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [[],[[],[[]],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [[],[[],[[]],[[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [[],[[],[[[]]],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [[],[[],[[],[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [[],[[[]],[],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [[],[[[]],[],[[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [[],[[[]],[[]],[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [[],[[[[]]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [[],[[[],[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [[],[[],[],[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [[],[[],[],[],[[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [[],[[],[],[[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [[],[[],[[]],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[[[[.,[.,.]],.],.],.]],.] => [[],[[[]],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [[],[[],[],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [[[]],[],[[[[[]]]]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [[[]],[],[[[[],[]]]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [[[]],[],[[[],[[]]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [[[]],[],[[[[]],[]]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [[[]],[],[[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [[[]],[],[[],[[[]]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [[[]],[],[[],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [[[]],[],[[[]],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [[[]],[],[[[[]]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [[[]],[],[[[],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [[[]],[],[[],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [[[]],[],[[],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [[[]],[],[[[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [[[]],[],[[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [[[]],[[]],[[[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [[[]],[[]],[[[],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [[[]],[[]],[[],[[]]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [[[]],[[]],[[[]],[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [[[]],[[]],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [[[]],[[[]]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [[[]],[[[]]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [[[]],[[[[]]]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [[[]],[[[[[]]]]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [[[]],[[[[],[]]]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [[[]],[[[],[]]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [[[]],[[[],[[]]]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [[[]],[[[[]],[]]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [[[]],[[[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [[[]],[[],[]],[[[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [[[]],[[],[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [[[]],[[],[[]]],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [[[]],[[],[[[]]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [[[]],[[],[[],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [[[]],[[[]],[]],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [[[]],[[[]],[[]]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [[[]],[[[[]]],[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [[[]],[[[],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [[[]],[[],[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [[[]],[[],[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],[[[.,.],[.,.]],.]],.] => [[[]],[[],[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [[[]],[[[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [[[]],[[],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [[[[]]],[],[[[[]]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [[[[]]],[],[[[],[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [[[[]]],[],[[],[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [[[[]]],[],[[[]],[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [[[[]]],[],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [[[[]]],[[]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [[[[]]],[[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [[[[]]],[[[]]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [[[[]]],[[[[]]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [[[[]]],[[[],[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [[[[]]],[[],[]],[[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [[[[]]],[[],[[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [[[[]]],[[[]],[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [[[[]]],[[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [[[[[]]]],[],[[[]]]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [[[[[]]]],[],[[],[]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [[[[[]]]],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [[[[[]]]],[[[]]],[]] => ([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [[[[[]]]],[[],[]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [[[[[[]]]]],[],[[]]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [[[[[[]]]]],[[]],[]] => ([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [[[[[[[]]]]]],[],[]] => ([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [[[[[[],[]]]]],[],[]] => ([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9)
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [[[[[],[]]]],[],[[]]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [[[[[],[]]]],[[]],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] => [[[[[],[[]]]]],[],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [[[[[[]],[]]]],[],[]] => ([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9)
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [[[[[],[],[]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [[[[],[]]],[],[[[]]]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [[[[],[]]],[],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [[[[],[]]],[[]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [[[[],[]]],[[[]]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [[[[],[]]],[[],[]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [[[[],[[]]]],[],[[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [[[[],[[]]]],[[]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [[[[],[[[]]]]],[],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [[[[],[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [[[[[]],[]]],[],[[]]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [[[[[]],[]]],[[]],[]] => ([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [[[[[]],[[]]]],[],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [[[[[[]]],[]]],[],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9)
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [[[[[],[]],[]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [[[[],[],[]]],[],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [[[[],[],[]]],[[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [[[[],[],[[]]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [[[[],[[]],[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [[[[[]],[],[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [[[[],[],[],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [[[],[]],[],[[[[]]]]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [[[],[]],[],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [[[],[]],[],[[],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [[[],[]],[],[[[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [[[],[]],[],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [[[],[]],[[]],[[[]]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [[[],[]],[[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [[[],[]],[[[]]],[[]]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [[[],[]],[[[[]]]],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [[[],[]],[[[],[]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [[[],[]],[[],[]],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [[[],[]],[[],[[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [[[],[]],[[[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [[[],[]],[[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [[[],[[]]],[],[[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [[[],[[]]],[],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [[[],[[]]],[[]],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [[[],[[]]],[[[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [[[],[[]]],[[],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [[[],[[[]]]],[],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [[[],[[[]]]],[[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [[[],[[[[]]]]],[],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [[[],[[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [[[],[[],[]]],[],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [[[],[[],[]]],[[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [[[],[[],[[]]]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [[[],[[[]],[]]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [[[],[[],[],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [[[[]],[]],[],[[[]]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [[[[]],[]],[],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [[[[]],[]],[[]],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [[[[]],[]],[[[]]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [[[[]],[]],[[],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [[[[]],[[]]],[],[[]]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [[[[]],[[]]],[[]],[]] => ([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [[[[]],[[[]]]],[],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [[[[]],[[],[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [[[[[]]],[]],[],[[]]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [[[[[]]],[]],[[]],[]] => ([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [[[[[]]],[[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9)
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [[[[[[]]]],[]],[],[]] => ([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9)
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [[[[[],[]]],[]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9)
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [[[[],[]],[]],[],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [[[[],[]],[]],[[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [[[[],[]],[[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [[[[],[[]]],[]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [[[[[]],[]],[]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [[[[],[],[]],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [[[],[],[]],[],[[[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [[[],[],[]],[],[[],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [[[],[],[]],[[]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [[[],[],[]],[[[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [[[],[],[]],[[],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [[[],[],[[]]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [[[],[],[[]]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [[[],[],[[[]]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [[[],[],[[],[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [[[],[[]],[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [[[],[[]],[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [[[],[[]],[[]]],[],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [[[],[[[]]],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [[[],[[],[]],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [[[[]],[],[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [[[[]],[],[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [[[[]],[],[[]]],[],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [[[[]],[[]],[]],[],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [[[[[]]],[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [[[[],[]],[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [[[],[],[],[]],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [[[],[],[],[]],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [[[],[],[],[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [[[],[],[[]],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [[[],[[]],[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [[[[]],[],[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [[[],[],[],[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [[],[],[],[[[[[]]]]]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [[],[],[],[[[[],[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [[],[],[],[[[],[[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [[],[],[],[[[[]],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [[],[],[],[[[],[],[]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [[],[],[],[[],[[[]]]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [[],[],[],[[],[[],[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [[],[],[],[[[]],[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [[],[],[],[[[[]]],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [[],[],[],[[[],[]],[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [[],[],[],[[],[],[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [[],[],[],[[],[[]],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [[],[],[],[[[]],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[[],[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [[],[],[[]],[[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [[],[],[[]],[[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [[],[],[[]],[[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [[],[],[[]],[[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [[],[],[[]],[[],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [[],[],[[[]]],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [[],[],[[[]]],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [[],[],[[[[]]]],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [[],[],[[[[[]]]]],[]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [[],[],[[[[],[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [[],[],[[[],[]]],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [[],[],[[[],[[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [[],[],[[[[]],[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [[],[],[[[],[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [[],[],[[],[]],[[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [[],[],[[],[]],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [[],[],[[],[[]]],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [[],[],[[],[[[]]]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [[],[],[[],[[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [[],[],[[[]],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [[],[],[[[]],[[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [[],[],[[[[]]],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [[],[],[[[],[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [[],[],[[],[],[]],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[[.,.],.],[.,.]]],.] => [[],[],[[],[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [[[[.,.],.],[[[.,.],[.,.]],.]],.] => [[],[],[[],[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [[],[],[[[]],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [[],[],[[],[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [[],[[]],[],[[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [[],[[]],[],[[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [[],[[]],[],[[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [[],[[]],[],[[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [[],[[]],[],[[],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [[],[[]],[[]],[[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [[],[[]],[[]],[[],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [[],[[]],[[[]]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [[],[[]],[[[[]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [[],[[]],[[[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [[],[[]],[[],[]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [[],[[]],[[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [[],[[]],[[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [[],[[]],[[],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [[],[[[]]],[],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [[],[[[]]],[],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [[],[[[]]],[[]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [[],[[[]]],[[[]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [[],[[[]]],[[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [[],[[[[]]]],[],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [[],[[[[]]]],[[]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [[],[[[[[]]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [[],[[[[],[]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [[],[[[],[]]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [[],[[[],[]]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [[],[[[],[[]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [[],[[[[]],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [[],[[[],[],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [[],[[],[]],[],[[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [[],[[],[]],[],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [[],[[],[]],[[]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [[],[[],[]],[[[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [[],[[],[]],[[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [[],[[],[[]]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [[],[[],[[]]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [[],[[],[[[]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [[],[[],[[],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [[],[[[]],[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [[],[[[]],[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [[],[[[]],[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [[],[[[[]]],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [[],[[[],[]],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [[],[[],[],[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [[],[[],[],[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [[[[.,.],[[[.,.],.],[.,.]]],.],.] => [[],[[],[],[[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [[],[[],[[]],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [[],[[[]],[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [[],[[],[],[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [[[]],[],[],[[[[]]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [[[]],[],[],[[[],[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [[[]],[],[],[[],[[]]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [[[]],[],[],[[[]],[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [[[]],[],[],[[],[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [[[]],[],[[]],[[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [[[]],[],[[]],[[],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [[[]],[],[[[]]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [[[]],[],[[[[]]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [[[]],[],[[[],[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [[[]],[],[[],[]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [[[]],[],[[],[[]]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [[[]],[],[[[]],[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [[[[.,[.,.]],.],[[[.,.],.],.]],.] => [[[]],[],[[],[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [[[]],[[]],[],[[[]]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [[[]],[[]],[],[[],[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [[[]],[[]],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [[[]],[[]],[[[]]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [[[]],[[]],[[],[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [[[]],[[[]]],[],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [[[]],[[[]]],[[]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [[[]],[[[[]]]],[],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [[[]],[[[],[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [[[]],[[],[]],[],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [[[]],[[],[]],[[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [[[]],[[],[[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [[[]],[[[]],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [[[[.,[.,.]],[[[.,.],.],.]],.],.] => [[[]],[[],[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [[[[]]],[],[],[[[]]]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [[[[]]],[],[],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [[[[]]],[],[[]],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [[[[]]],[],[[[]]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [[[[]]],[],[[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [[[[]]],[[]],[],[[]]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [[[[]]],[[]],[[]],[]] => ([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [[[[]]],[[[]]],[],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [[[[]]],[[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [[[[[]]]],[],[],[[]]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [[[[[]]]],[],[[]],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [[[[[]]]],[[]],[],[]] => ([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [[[[[[]]]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9)
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [[[[[],[]]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9)
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [[[[],[]]],[],[],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [[[[],[]]],[],[[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [[[[],[]]],[[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [[[[],[[]]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [[[[[]],[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [[[[],[],[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [[[],[]],[],[],[[[]]]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [[[],[]],[],[],[[],[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [[[],[]],[],[[]],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [[[],[]],[],[[[]]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [[[],[]],[],[[],[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [[[],[]],[[]],[],[[]]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [[[],[]],[[]],[[]],[]] => ([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [[[],[]],[[[]]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [[[],[]],[[],[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [[[],[[]]],[],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [[[],[[]]],[],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [[[],[[]]],[[]],[],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [[[],[[[]]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [[[],[[],[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [[[[]],[]],[],[],[[]]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [[[[]],[]],[],[[]],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [[[[]],[]],[[]],[],[]] => ([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [[[[]],[[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [[[[[]]],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [[[[],[]],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9)
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [[[],[],[]],[],[],[[]]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [[[],[],[]],[],[[]],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [[[],[],[]],[[]],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [[[],[],[[]]],[],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [[[],[[]],[]],[],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [[[[]],[],[]],[],[],[]] => ([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [[[],[],[],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [[],[],[],[],[[[[]]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [[],[],[],[],[[[],[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [[],[],[],[],[[],[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [[],[],[],[],[[[]],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[[],[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [[],[],[],[[]],[[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [[],[],[],[[]],[[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [[],[],[],[[[]]],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [[],[],[],[[[[]]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [[],[],[],[[[],[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [[],[],[],[[],[]],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [[],[],[],[[],[[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [[],[],[],[[[]],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [[],[],[],[[],[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [[],[],[[]],[],[[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [[],[],[[]],[],[[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [[],[],[[]],[[]],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [[],[],[[]],[[[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [[],[],[[]],[[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [[],[],[[[]]],[],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [[],[],[[[]]],[[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [[],[],[[[[]]]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [[],[],[[[],[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [[],[],[[],[]],[],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [[],[],[[],[]],[[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [[],[],[[],[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [[[[[.,.],.],[[.,[.,.]],.]],.],.] => [[],[],[[[]],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [[],[],[[],[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [[],[[]],[],[],[[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [[],[[]],[],[],[[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [[],[[]],[],[[]],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [[],[[]],[],[[[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [[],[[]],[],[[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [[],[[]],[[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [[],[[]],[[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [[],[[]],[[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [[],[[]],[[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [[],[[[]]],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [[],[[[]]],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [[],[[[]]],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [[],[[[[]]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [[],[[[],[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [[],[[],[]],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [[],[[],[]],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [[],[[],[]],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [[],[[],[[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[[[[.,.],[[.,[.,.]],.]],.],.],.] => [[],[[[]],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [[],[[],[],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [[[]],[],[],[],[[[]]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [[[]],[],[],[],[[],[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [[[]],[],[],[[]],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [[[]],[],[],[[[]]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [[[]],[],[],[[],[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [[[]],[],[[]],[],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [[[]],[],[[]],[[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [[[]],[],[[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[[[[.,[.,.]],.],[[.,.],.]],.],.] => [[[]],[],[[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [[[]],[[]],[],[],[[]]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [[[]],[[]],[],[[]],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [[[]],[[]],[[]],[],[]] => ([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [[[]],[[[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [[[]],[[],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [[[[]]],[],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [[[[]]],[],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [[[[]]],[],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [[[[]]],[[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [[[[[]]]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [[[[],[]]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9)
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [[[],[]],[],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [[[],[]],[],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [[[],[]],[],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [[[],[]],[[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [[[],[[]]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [[[[]],[]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [[[],[],[]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [[],[],[],[],[],[[[]]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[[],[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [[],[],[],[],[[]],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [[],[],[],[],[[[]]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [[],[],[],[],[[],[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [[],[],[],[[]],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [[],[],[],[[]],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [[],[],[],[[[]]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [[],[],[],[[],[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [[],[],[[]],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [[],[],[[]],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [[],[],[[]],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [[],[],[[[]]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [[],[],[[],[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [[],[[]],[],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [[],[[]],[],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [[],[[]],[],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [[],[[]],[[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [[],[[[]]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [[],[[],[]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [[[]],[],[],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [[[]],[],[],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [[[]],[],[[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [[[]],[[]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [[[[]]],[],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [[[],[]],[],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[[]]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [[],[],[],[],[],[[]],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [[],[],[],[],[[]],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [[],[],[],[[]],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [[],[],[[]],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [[],[[]],[],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[]] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[],[[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [[[[]],[],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [[],[],[],[],[],[],[],[],[],[[]]] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [[[]],[],[],[],[],[],[],[[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,8),(8,10),(9,10)],11)
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [[],[[]],[],[],[],[],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [[[],[]],[],[],[],[],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [[[],[[]],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [[[[],[]],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [[[[]],[],[],[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [[[],[],[],[],[],[],[],[],[],[]]] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [[],[],[],[],[],[[]],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [[[],[],[],[],[],[]],[[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[],[[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[[],[],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [[],[],[],[],[],[],[[[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[],[[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [[[]],[],[],[],[],[[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [[],[[[]],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [[[[],[],[],[],[],[],[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [[],[],[],[],[],[],[],[[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [[],[[],[],[],[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [[[],[],[],[],[],[],[],[[]]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[[[[[[[[]]]]]]]],[]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [[[[[[[[],[]]]]]]],[]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [[[[[[[[]],[]]]]]],[]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [[[],[[[[[[]]]]]]],[]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [[[[[[[[]]]]]],[]],[]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [[[[]],[],[],[],[],[]],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[]],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [[],[[[[[[[]]]]]]],[]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [[[]],[[[[[[]]]]]],[]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [[[[[[[[]]]]]]],[],[]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [[[],[],[],[],[],[]],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [[[[[[[]]]]]],[],[],[]] => ([(0,8),(1,9),(2,9),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [[[[[[]]]]],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,7),(6,8),(6,9),(7,8)],10)
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [[[[[]]]],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,8),(7,8),(7,9)],10)
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [[[[],[]]],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(7,9)],10)
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [[[],[[]]],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [[],[[[]]],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [[[]],[],[],[],[],[[]],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [[[[]]],[],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [[[],[]],[],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[],[]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[[[[[[[[[]]]]]]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[[[[[[[[],[]]]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[[[[[[[[]],[]]]]]]]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [[[[[[[[[]]],[]]]]]]] => ([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [[[[[[[[[]]]],[]]]]]] => ([(0,8),(1,7),(2,9),(3,5),(3,7),(4,6),(4,8),(5,9),(6,9)],10)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [[[[[[[[[]]]]],[]]]]] => ([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [[[[[[[[[]]]]]],[]]]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [[[[[[[[[]]]]]]],[]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[[[[[[[[[[]]]]]]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [[[[[[[[[[],[]]]]]]]]]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [[[[[[[[],[],[]]]]]]]] => ([(0,8),(1,9),(2,9),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [[[[[[[[[[]],[]]]]]]]]] => ([(0,9),(1,8),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,10),(9,10)],11)
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [[[[[[[],[[]],[]]]]]]] => ([(0,8),(1,7),(2,9),(3,9),(4,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [[[[[[[[[[]]],[]]]]]]]] => ([(0,8),(1,9),(2,10),(3,4),(3,5),(4,6),(5,9),(6,10),(7,8),(7,10)],11)
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [[[[[[],[[[]]],[]]]]]] => ([(0,7),(1,8),(2,9),(3,9),(4,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [[[[[[[[[[]]]],[]]]]]]] => ([(0,8),(1,9),(2,10),(3,4),(3,7),(4,8),(5,6),(5,9),(6,10),(7,10)],11)
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [[[[[],[[[[]]]],[]]]]] => ([(0,7),(1,8),(2,9),(3,9),(4,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [[[[[[[[[[]]]]],[]]]]]] => ([(0,8),(1,9),(2,10),(3,4),(3,7),(4,8),(5,6),(5,9),(6,10),(7,10)],11)
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [[[[],[[[[[]]]]],[]]]] => ([(0,8),(1,7),(2,9),(3,9),(4,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [[[[[[[[[[]]]]]],[]]]]] => ([(0,8),(1,9),(2,10),(3,4),(3,5),(4,6),(5,9),(6,10),(7,8),(7,10)],11)
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [[[],[[[[[[]]]]]],[]]] => ([(0,8),(1,9),(2,9),(3,9),(4,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [[[[[[[[[[]]]]]]],[]]]] => ([(0,9),(1,8),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,10),(9,10)],11)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [[[[[[[[[[]]]]]]]],[]]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [[[[[[[[[[]]]]]]]]],[]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [[[[[[[[[[[],[]]]]]]]]]]] => ([(0,10),(1,11),(2,11),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [[[[[[[[[[[]],[]]]]]]]]]] => ([(0,10),(1,9),(2,11),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,11),(10,11)],12)
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [[],[[[[[[[[]]]]]]]],[]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [[[[[[[[[[[]]]]]]]]]],[]] => ([(0,11),(1,10),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [[[[[],[],[],[],[],[]]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [[[[[[[[],[[]]]]]]]]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [[[[[],[[[[[]]]]]]]]] => ([(0,7),(1,8),(2,9),(3,4),(3,5),(4,8),(5,9),(6,7),(6,9)],10)
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [[[[],[[[[[[]]]]]]]]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[],[[[[[[[]]]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [[[],[[[[[[],[]]]]]]]] => ([(0,8),(1,8),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7)],10)
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [[[],[[],[],[],[],[],[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [[[],[],[],[],[],[[],[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[],[[[[[[[[]]]]]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [[],[[[[[[[],[]]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [[],[[],[],[],[],[],[[]]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[],[],[[[[[[[]]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [[],[],[[],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [[],[],[],[[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[],[[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[],[[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [[[[[[[],[[[[]]]]]]]]]] => ([(0,8),(1,9),(2,10),(3,4),(3,7),(4,8),(5,6),(5,9),(6,10),(7,10)],11)
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [[[[[],[],[],[],[],[],[]]]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [[],[[[[[[[[[]]]]]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [[],[[[[[[[[],[]]]]]]]]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [[],[],[[],[],[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [[],[],[],[[],[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [[],[],[],[],[[],[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [[],[],[],[],[],[[],[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [[],[],[],[],[],[],[[],[],[]]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,9),(7,9),(8,9),(9,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [[],[],[],[],[],[],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[]],[[[[[[[]]]]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [[[[]]],[[[[[[]]]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [[[[[]]]],[[[[[]]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [[[[[[]]]]],[[[[]]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [[[[[[[]]]]]],[[[]]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [[[[[[[[]]]]]]],[[]]] => ([(0,9),(1,8),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [[[]],[[[[[[[[]]]]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [[[],[]],[[[[[[]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [[[[]]],[[[[[[[]]]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [[[[],[]]],[[[[[]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [[[[[]]]],[[[[[[]]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [[[[[],[]]]],[[[[]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [[[[[[]]]]],[[[[[]]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [[[[[[],[]]]]],[[[]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [[[[[[[]]]]]],[[[[]]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [[[[[[[],[]]]]]],[[]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [[[[[[[[]]]]]]],[[[]]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [[[[[[[[[]]]]]]]],[[]]] => ([(0,10),(1,9),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [[],[[[[[[[[[[]]]]]]]]]]] => ([(0,11),(1,10),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10),(9,11)],12)
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [[],[[[[[[[]],[]]]]]]] => ([(0,8),(1,7),(2,9),(3,4),(3,5),(4,6),(5,7),(6,9),(8,9)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [[[[[[[[[],[]]]]]]]],[]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [[],[[[[[[[[]],[]]]]]]]] => ([(0,9),(1,8),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,10),(9,10)],11)
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [[[],[[[[[[]],[]]]]]]] => ([(0,8),(1,8),(2,9),(3,4),(4,9),(5,7),(5,8),(6,7),(6,9)],10)
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [[[]],[[[[[[],[]]]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [[[],[],[],[],[],[],[],[]],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(9,10)],11)
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [[[]],[],[],[],[],[],[],[],[],[]] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(10,11)],12)
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [[[]],[[],[],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10)
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [[[[[]]]],[[[[],[]]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [[[[[[[[],[]]]]]],[]]] => ([(0,8),(1,8),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7)],10)
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [[[[[[[]]]]]],[[],[]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [[[[[[[[]]]]]]],[],[],[]] => ([(0,9),(1,10),(2,10),(3,10),(4,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [[],[[[],[],[],[],[]],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10)
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,.],.],[[[.,[[[.,.],.],.]],.],.]] => [[],[],[[[],[],[]],[],[]]] => ([(0,9),(1,9),(2,8),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [[],[],[],[[[]],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,8),(4,8),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [[],[],[],[],[],[[[]],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(6,7),(7,8),(8,9)],10)
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [[],[],[],[],[[[]],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(7,8),(8,9)],10)
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [[],[],[[[]],[],[],[],[]]] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(5,8),(6,7),(7,9),(8,9)],10)
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [[[[[[[[[]]]]]]]],[],[]] => ([(0,9),(1,10),(2,10),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9),(8,10)],11)
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [[[[[[[]]]]]],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,5),(5,9),(6,8),(6,10),(7,8),(7,9)],11)
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [[[[]]],[],[],[],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(9,10)],11)
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] => [[[[[[]]]]],[[[],[]]]] => ([(0,8),(1,9),(2,9),(3,4),(3,5),(4,6),(5,7),(6,8),(7,9)],10)
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [[[[[[]]]]],[],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,8),(7,9),(7,10),(8,9)],11)
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [[[[[]]]],[],[],[],[],[],[]] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,7),(7,9),(8,9),(8,10)],11)
Map
to binary tree: up step, left tree, down step, right tree
Description
Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path $D$ of semilength $n$ with $ n > 1$ may be uniquely decomposed into $1L0R$ for Dyck paths L,R of respective semilengths $n_1, n_2$ with $n_1 + n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
A Dyck path $D$ of semilength $n$ with $ n > 1$ may be uniquely decomposed into $1L0R$ for Dyck paths L,R of respective semilengths $n_1, n_2$ with $n_1 + n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
Map
to ordered tree: left child = left brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
- if $x$ is the right child of $y$, $x$ becomes the last child of $y$.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges.
searching the database
Sorry, this map was not found in the database.