- FindStat

Identifier

Mp00297: Parking functions —ordered tree⟶ Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00020: Binary trees —to Tamari-corresponding Dyck path⟶ Dyck paths
St001184: Dyck paths ⟶ ℤ

Values

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

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

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

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

[1,1,1] => [[],[],[]] => [.,[.,[.,.]]] => [1,1,1,0,0,0] => 3

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

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

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

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

[1,3,1] => [[[],[]]] => [[.,[.,.]],.] => [1,1,0,0,1,0] => 1

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

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

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

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

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

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

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

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

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

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

[1,1,1,1] => [[],[],[],[]] => [.,[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0] => 4

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

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

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

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

[1,1,1,3] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

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

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

[3,1,1,1] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

[1,1,1,4] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

[1,1,4,1] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[1,4,1,1] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[4,1,1,1] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,4] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[1,1,4,2] => [[],[[],[]]] => [.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => 2

[1,2,1,4] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[1,2,4,1] => [[[[],[]]]] => [[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => 1

[1,4,1,2] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[1,4,2,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

[2,1,1,4] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[2,1,4,1] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[2,4,1,1] => [[],[[],[]]] => [.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => 2

[4,1,1,2] => [[[]],[[]]] => [[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => 2

[4,1,2,1] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[4,2,1,1] => [[[]],[[]]] => [[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => 2

[1,1,3,3] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

[1,3,1,3] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

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

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

[3,1,3,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

[3,3,1,1] => [[],[],[[]]] => [.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => 3

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

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

[1,3,1,4] => [[[[],[]]]] => [[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => 1

[1,3,4,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

[1,4,1,3] => [[[[],[]]]] => [[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => 1

[1,4,3,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

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

[3,1,4,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

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

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

[4,1,3,1] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,4] => [[[]],[[]]] => [[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => 2

[1,2,4,2] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[1,4,2,2] => [[],[[],[]]] => [.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => 2

[2,1,2,4] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

>>> Load all 18248 entries. <<<

[2,1,4,2] => [[[[],[]]]] => [[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => 1

[2,2,1,4] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[2,2,4,1] => [[],[[],[]]] => [.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => 2

[2,4,1,2] => [[[],[[]]]] => [[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => 1

[2,4,2,1] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[4,1,2,2] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

[4,2,1,2] => [[[[[]]]]] => [[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => 1

[4,2,2,1] => [[],[[[]]]] => [.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,1,1,1] => [[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0] => 5

[1,1,1,1,2] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

[2,1,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,3] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,3,1,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,4] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,5] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,5,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,5,1,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,2] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

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

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

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

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

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

[2,2,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,1,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,1,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,4,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,1,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

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

[2,1,1,4,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,1,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

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

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

[4,1,1,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,1,2,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,1,1,2,5] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,2] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,1,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,2,1,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,1,1,1,5] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,5,1,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[2,5,1,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,1,2] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,1,2,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,1,1,3,3] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

[1,1,3,3,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[1,3,1,3,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,3,3,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

[3,3,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,4] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,3] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

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

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

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

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

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

[1,3,1,4,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

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

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

[1,4,1,3,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

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

[3,1,1,1,4] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

[3,4,1,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,1,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

[4,3,1,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,1,1,3,5] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,5,3] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,1,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,1,5,1,3] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,3,1,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,5,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,3,5,1,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,5,1,1,3] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,3,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[3,1,1,1,5] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,5,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[3,5,1,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,1,3] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,3,1,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,4,4] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,4,1,4] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,1,4,4,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,4] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,4,1,4,1] => [[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => 1

[1,4,4,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,4] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,4,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[4,1,4,1,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[4,4,1,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,5] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,4] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,5,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,4] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,4,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,1,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,1,5] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,5,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[4,1,5,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[4,5,1,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,1,4] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,4,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,1,4,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,1,2,2,2] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

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

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

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

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

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

[2,2,2,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,4,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,2,1,2,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,2,2,1,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,2,4,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,4,2,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,2,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,1,1,2,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,1,4] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,1,2,4,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,1,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,2,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

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

[2,2,1,4,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

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

[2,4,1,1,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

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

[4,1,2,1,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

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

[1,1,2,2,5] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,1,2,5,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,1,5,2,2] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,2,5] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,5,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,2,2,1,5] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,2,5,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,5,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,2,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,2,2,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,1,1,2,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,1,5] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,1,2,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,2,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,2,1,1,5] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[2,5,1,1,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,5,1,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,1,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,1,1,2,2] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,1,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[5,2,2,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,2,3,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,3] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,5,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,3] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,3,5] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,5,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,2,3,1,5] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,3,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,3,5,1,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,2,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,5,2,1,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,2,3,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,3,1,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,5,3,2,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,1,1,3,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,5,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[2,1,5,1,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,3,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[2,3,1,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,5,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,5,1,1,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,5,1,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,5] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,5,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,5] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,1,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,5,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,1,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[3,5,1,1,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,1,1,2,3] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,1,1,3,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,1,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,2,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[5,2,1,1,3] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,3,1,1,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,3,2,1,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

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

[1,1,4,2,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,2,1,4,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,1,4] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,4,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,2,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,1,4] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,4,1,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[2,1,4,1,4] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[2,1,4,4,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,1,4] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,4,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

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

[4,1,1,2,4] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,1,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,1,4] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,4,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[4,2,4,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[4,4,1,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,1,2,4,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,4,5] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,5,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,1,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,2,5] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,4,1,5,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,5,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,4,5,1,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,4,5,2,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,5,1,2,4] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,4,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,2,4,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,2,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,1,1,4,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,4] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,1,4,1,5] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,1,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,1,5] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,5,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,5,1,1,4] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,4,1] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[2,5,4,1,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,2,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[4,1,1,5,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,1,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,5,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[4,1,5,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,1,5,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,5,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,2,5,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[4,5,1,1,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,2,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[4,5,2,1,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,1,1,2,4] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,1,1,4,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,1,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,4,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[5,1,4,1,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,1,4,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,1,4] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,4,1] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,1,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,2,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,1,3,3,3] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

[1,3,3,3,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,3,3] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[3,1,3,1,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

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

[3,3,1,1,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[3,3,3,1,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

[1,1,3,3,4] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[1,1,4,3,3] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[1,3,1,3,4] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,3,1,4,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

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

[1,3,4,1,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

[1,4,3,1,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

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

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

[3,1,3,1,4] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,4,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,3,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[3,3,1,1,4] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[3,3,4,1,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

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

[3,4,1,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

[4,1,1,3,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[4,1,3,1,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

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

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

[4,3,1,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[4,3,3,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,3,5] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,5,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,3] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,3,5] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,5,3] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[1,3,3,1,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,3,3,5,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[1,3,5,1,3] => [[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => 1

[1,3,5,3,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,5,1,3,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,3] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,5,3,3,1] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[3,1,1,3,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,3] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[3,1,3,1,5] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,5,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[3,1,5,1,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,3,1] => [[[],[],[],[]]] => [[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => 1

[3,3,1,1,5] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[3,3,1,5,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,3] => [[],[[],[],[]]] => [.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => 2

[3,5,1,3,1] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[3,5,3,1,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,3] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[5,1,3,1,3] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[5,1,3,3,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,3] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,3,1] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[5,3,3,1,1] => [[],[],[[],[]]] => [.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,4] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

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

[1,1,4,4,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[1,3,4,1,4] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

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

[1,4,1,3,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,3] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,4,3,1,4] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,4,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

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

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

[3,1,1,4,4] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[3,1,4,1,4] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

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

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

[3,4,1,4,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[3,4,4,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

[4,1,3,1,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,3] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,3,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

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

[4,3,1,4,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

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

[4,4,1,1,3] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

[4,4,3,1,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

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

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

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

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

[1,3,1,4,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,5,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,3,5,1,4] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,3,5] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,4,3,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,5,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,4,5,1,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,1,4] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,5,3,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,3,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

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

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

[3,1,4,1,5] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,1,4,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

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

[3,4,1,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

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

[3,5,1,4,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

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

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

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

[4,1,3,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,5,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[4,1,5,1,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[4,1,5,3,1] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

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

[4,3,1,5,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

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

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

[4,5,1,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

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

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

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

[5,1,3,1,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,4,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

[5,3,1,4,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

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

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

[5,4,1,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

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

[1,2,2,2,2] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

[2,2,2,2,1] => [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => 4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,4,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,2,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[2,1,2,2,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,1,2,4,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,2,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[2,2,1,2,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

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

[2,2,4,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,2,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[4,2,1,2,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,2,2,2,5] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[1,2,2,5,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,2,5,2,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,5,2,2,2] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,2,5] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,1,2,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,2,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[2,2,1,2,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,2,1,5] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[2,2,2,5,1] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[2,2,5,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,2,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,5,1,2,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,2,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,2,2] => [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => 3

[5,2,1,2,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[5,2,2,1,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[5,2,2,2,1] => [[],[[]],[[]]] => [.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => 3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,2,3,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,3] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,3,2,5] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,3,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,2,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,5,2,2,3] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,5,2,3,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,3,5] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,2,5] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,1,3,5,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,2,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,3,2] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,2,1,3,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,2,1,5,3] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,2,3,1,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,2,3,5,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,2,5,1,3] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,2,5,3,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,5] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,5,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,1,2] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,3,5,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,5,1,2,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,5,1,3,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,1,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,3,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,5,3,1,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,2,5] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,2,5] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,2,2,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[3,2,5,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,2,1] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,5,1,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[3,5,2,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,1,2,2,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,2,1,2,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[5,2,2,1,3] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[5,2,2,3,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,2,3,1,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,3,1,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,3,2,1,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[5,3,2,2,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

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

[1,2,4,2,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,4,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,2,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,4,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

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

[2,1,2,4,4] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,2,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,4,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

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

[2,2,4,1,4] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

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

[2,4,1,2,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,4,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,1,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,4,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,4,4,1,2] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[2,4,4,2,1] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,2,4] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,1,2,4,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,4,2] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[4,2,2,1,4] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,4,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,4,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,2,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

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

[4,4,2,1,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

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

[1,2,2,4,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,2,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,2] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,2,5,2,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,2,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,5,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,2,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,5,2,2,4] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,5,2,4,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,4,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,4] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,2,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,4,2] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,2,1,4,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,4] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,4] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,2,5,4,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,2,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,2] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,1,5] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,5,1] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,1,2] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[2,4,5,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[2,5,1,2,4] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,5,1,4,2] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[2,5,2,1,4] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[2,5,2,4,1] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[2,5,4,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[2,5,4,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,2,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[4,1,2,5,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,5,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,2,2,1,5] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[4,2,2,5,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[4,2,5,1,2] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,2,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[4,5,1,2,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,2,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,1,2,2,4] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,4,2] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[5,1,4,2,2] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,4] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,2,2,1,4] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,1] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[5,2,4,1,2] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[5,2,4,2,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,2,2] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,2,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,2,3,3,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,5,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,3,3] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,3,5] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,5,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[1,3,3,2,5] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[1,3,3,5,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[1,3,5,2,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,3] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[1,5,3,2,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[1,5,3,3,2] => [[],[[[],[]]]] => [.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => 2

[2,1,3,3,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,3,3] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,3,5] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,3] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[2,3,3,1,5] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,3,3,5,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[2,3,5,1,3] => [[[[],[],[]]]] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => 1

[2,3,5,3,1] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[2,5,1,3,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,1,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,3,1] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[3,1,2,3,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,2,5] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,5,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,3,5] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,2,1,5,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,2,3,1,5] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,5,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,1,3] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,3,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,3,1,2,5] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,5] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,3,2,5,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,1,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[3,3,5,2,1] => [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => 2

[3,5,1,2,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[3,5,1,3,2] => [[[],[],[[]]]] => [[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => 1

[3,5,2,1,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,3,1] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[3,5,3,1,2] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,1] => [[[[],[[]]]]] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,3] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,2,3] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,3,2] => [[[]],[[],[]]] => [[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2

[5,2,1,3,3] => [[[]],[[[]]]] => [[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,1,3] => [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,3,1] => [[[[]]],[[]]] => [[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => 2

[5,3,1,2,3] => [[[],[[],[]]]] => [[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => 1

[5,3,1,3,2] => [[[],[[[]]]]] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => 1

[5,3,2,1,3] => [[[[[],[]]]]] => [[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => 1

[5,3,2,3,1] => [[[[]],[[]]]] => [[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => 1

[5,3,3,1,2] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,1] => [[],[[],[[]]]] => [.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,1,1,1,1] => [[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6

[1,1,1,1,1,2] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,2,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,2,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,1,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,1,3] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,3,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,3,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,3,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,3,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,1,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,1,4] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,4,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,4,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,4,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,4,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,1,5] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,5,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,5,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,5,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,5,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,1,6] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,6,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,6,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,6,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,6,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,2,2] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

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

[1,1,1,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

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

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

[1,1,2,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

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

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

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

[1,2,2,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,1,1,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

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

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

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

[2,2,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,1,1,2,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,4,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

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

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

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

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

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

[1,1,2,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

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

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

[1,1,4,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

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

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

[1,2,1,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

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

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

[1,4,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

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

[2,1,1,1,1,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

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

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

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

[2,4,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,1,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

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

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

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

[4,2,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,2,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,5,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,2,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,2,5,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,5,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,1,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,1,1,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,5,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,5,1,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,5,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,1,1,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,1,1,1,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,5,1,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[5,1,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,2,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,2,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,6,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,2,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,2,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,6,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,6,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,6,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,6,1,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,6,1,1,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,1,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,1,1,1,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,6,1,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,6,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,1,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,2,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,2,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,3,3] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,3,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

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

[1,1,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

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

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

[1,3,3,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,1,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,3,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,3,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,4,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,3,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

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

[1,1,3,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

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

[1,1,4,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,1,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

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

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

[1,3,4,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,1,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

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

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

[1,4,3,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,1,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,3,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,3,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,3,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,1,5,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,3,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,5,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,1,1,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,5,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,5,1,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,5,1,1,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,1,1,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,5,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[5,1,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,3,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,3,1,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,1,3,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,6,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,3,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,3,6,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,6,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,6,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,1,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,6,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,6,1,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,6,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,1,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,1,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,6,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,6,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,6,1,1,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,6,1,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,6,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,1,1,6] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[3,1,1,1,6,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,6,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,6,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,6,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[6,1,1,1,1,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[6,1,1,1,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,1,3,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,1,3,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,3,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,4,4] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,4,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,4,4,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,4,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,4,1,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,1,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,1,1,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,4,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,1,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,4,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,4,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,5,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,4,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,4,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,5,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,1,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,1,5,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,5,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,5,1,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,1,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,1,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,4,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,1,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[4,1,1,1,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,5,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,5,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[5,1,1,1,1,4] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[5,1,1,1,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,4,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,4,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,4,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,6,4] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,4,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,6,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,6,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,6,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,6,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,4,1,1,1,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,1,1,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,6,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,6,1,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,6,1,1,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,1,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,4,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,1,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,6,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,6,1,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[6,1,1,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,1,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,4,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,4,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,1,5,5] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,5,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,5,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,5,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,1,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,5,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,5,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,1,1,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,1,5,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,5,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[5,1,1,1,1,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,5,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,1,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,5,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,1,5,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,1,6,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,5,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,6,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,5,1,1,1,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,5,1,1,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,6,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,6,1,1,1,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,6,1,1,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,1,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,5,1,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,1,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,6,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,6,1,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[6,1,1,1,1,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,1,5,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,5,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,5,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,5,1,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,2,2] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

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

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

[1,1,2,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,1,2,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,1,2,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,2,2,1,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,1,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,1,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,2,1,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,2,1,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,2,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,1,1,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,1,1,2,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,1,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,2,2,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,2,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,3,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,2,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,2,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,3,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,3,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,1,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,1,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,2,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,1,3,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,2,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,1,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,3,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,3,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,3,1,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,1,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,1,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,2,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,1,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,1,3,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,2,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,3,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,1,2,1,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,3,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,3,1,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,1,1,1,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,1,1,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,3,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,3,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,3,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,1,1,2,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,2,2,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,2,1,1,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,1,1,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,1,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,2,2,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,2,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,2,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,1,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,4,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,4,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,4,2,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,1,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,2,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,1,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,2,1,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,2,1,1,1,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,1,1,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,4,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,4,1,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,1,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,1,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,2,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,2,1,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,2,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,5,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,2,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,2,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,2,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,2,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,1,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,1,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,2,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,5,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,1,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,5,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,2,5,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,5,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,1,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,2,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,1,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,2,1,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,1,1,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,1,1,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,5,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,5,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,1,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,2,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,1,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,1,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,1,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,2,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,6,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,2,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,2,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,6,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,1,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,6,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,1,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,6,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,6,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,6,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,6,1,2,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,2,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,1,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,6,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,1,1,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,1,1,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,6,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,6,1,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,6,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,2,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,1,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,1,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,1,1,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,2,1,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,1,2,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,2,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,3,2,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,3,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,3,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,2,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,3,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,3,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,1,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,1,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,1,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,2,1,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,2,3,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,3,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,1,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,3,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,1,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,1,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,1,1,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,3,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,1,1,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,2,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,2,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,1,2,4,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,3,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,2,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,3,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,2,1,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,3,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,1,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,4,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,3,1,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,4,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,3,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,1,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,1,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,1,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,1,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,2,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,1,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,3,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,1,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,4,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,3,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,1,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,1,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,4,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,4,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,1,1,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,3,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,4,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,1,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,2,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,4,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,1,1,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,4,1,1,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,2,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,3,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,2,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,3,1,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,1,2,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,2,5,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,1,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,3,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,1,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,3,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,3,1,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,1,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,1,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,5,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,5,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,1,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,2,1,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,1,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,1,5,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,3,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,1,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,1,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,5,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,5,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,1,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,3,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,3,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,5,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,5,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,1,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,1,1,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,5,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,5,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,1,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,2,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,1,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,1,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,3,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,3,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,1,1,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,2,3,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,2,6,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,3,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,3,6,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,6,2,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,1,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,3,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,2,3,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,6,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,1,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,1,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,3,1,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,3,1,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,6,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,6,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,6,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,1,1,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,1,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,2,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,6,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,6,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,6,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,6,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,1,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,1,3,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,1,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,2,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,2,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,3,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,1,3,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,6,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,6,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,1,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,1,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,1,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,6,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,6,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,6,1,1,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,1,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,6,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,2,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,2,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,6,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,6,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,1,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,1,1,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,6,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,6,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,6,1,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,6,1,1,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,6,1,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,2,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,1,1,1,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,1,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,1,2,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,1,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,2,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,2,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,2,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,1,1,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,2,1,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,3,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,3,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,3,1,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,1,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,2,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,4,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,4,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,4,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,4,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,4,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,1,1,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,1,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,1,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,1,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,4,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,4,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,4,1,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,1,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,2,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,4,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,2,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,1,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,1,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,4,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,2,5,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,2,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,4,5,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,4,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,1,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,2,5,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,1,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,4,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,4,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,5,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,5,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,4,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,4,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,5,1,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,4,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,2,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,1,5,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,4,1,2,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,1,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,2,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,1,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,5,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,5,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,4,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,1,4,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,2,1,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,4,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,4,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,1,4,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,5,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,4,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,5,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,4,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,1,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,4,1,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,4,1,1,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,5,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,5,1,1,1,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,5,1,1,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,1,4,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,5,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,1,1,2,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,2,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,5,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,5,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,2,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,2,1,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,1,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,5,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,5,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,5,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,5,1,1,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,2,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,4,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,2,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,1,2,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,4,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,4,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,1,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,4,1,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,1,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,2,4,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,2,6,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,6,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,6,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,4,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,1,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,1,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,6,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,2,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,6,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,6,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,6,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,1,1,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,1,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,1,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,2,4,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,6,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,6,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,2,6,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,1,1,6,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,1,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,6,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,1,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,1,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,6,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,6,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,6,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,1,1,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,1,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,4,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,2,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,4,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,4,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,2,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,1,1,1,4,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,6,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,4,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,4,1,1,6,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,1,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,6,1,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,6,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,6,1,1,4,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,1,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,4,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,2,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,1,1,6,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,1,2,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,6,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,6,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,1,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,2,1,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,1,6,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,2,6,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,6,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,6,1,1,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,2,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,2,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,1,1,1,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,2,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,1,4,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,1,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,2,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,2,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,1,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,2,1,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,2,4,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,4,1,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,1,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,4,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,2,5,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,5,2,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,5,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,1,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,5,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,2,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,2,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,5,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,5,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,1,1,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,5,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,2,5,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,1,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,5,1,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,1,1,5,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,5,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,2,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,1,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,1,5,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,1,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,2,1,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,5,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,5,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,5,5,1,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,2,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,1,5,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,5,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,5,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,5,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,5,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,1,5,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,1,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,5,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[5,1,1,1,2,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,1,1,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,2,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,2,5,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,1,1,5,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,5,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,1,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,5,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,5,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,5,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,1,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,1,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,1,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,5,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,5,1,1,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,2,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,2,5,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,2,6,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,2,6] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,1,5,6,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,2,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,6,5,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,2,1,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,1,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,6,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,1,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,6,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,5,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,6,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,1,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,1,5,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,6,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,6,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,6,1,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,5,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,2,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,1,6,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,5,1,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,1,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,2,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,6,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,5,6,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,6,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,1,1,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,2,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,6,5,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,5,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,1,5,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,1,6,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,1,1,5,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,5,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,1,6,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,6,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,6,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,6,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,6,1,1,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,6,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,1,2,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,2,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,6,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,1,6,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,6,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,6,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,6,2,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,2,1,1,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,1,1,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,6,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,6,1,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,6,1,1,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,1,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,6,2,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,1,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,2,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,2,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,5,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,5,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,1,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,5,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,5,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,1,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,1,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,1,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,5,1,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[6,5,1,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,5,1,1,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,5,2,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,3,3,3] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,3,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,3,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,3,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,1,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,3,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,1,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,1,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,1,1,3,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,3,1,1,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,3,1,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,1,1,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,1,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,3,3,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,4,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,3,1,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,3,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,1,1,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,1,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,3,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,1,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,4,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,4,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,4,3,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,1,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,3,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,3,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,3,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,4,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,3,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,4,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,4,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,3,1,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,1,1,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,4,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,4,1,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,3,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,3,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,3,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,3,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,3,1,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,3,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,3,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,3,5,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,5,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,3,1,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,3,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,5,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,1,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,1,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,1,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,1,3,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,3,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,5,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,3,1,1,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,1,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,5,1,1,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,5,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,5,1,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,3,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,5,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,1,3,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,5,3,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,1,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,5,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,1,1,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,1,1,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,5,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,5,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,5,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,3,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,3,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,3,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,3,3,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,3,1,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,1,1,3,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,1,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,3,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,3,3,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,6,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,3,1,3,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,3,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,3,6,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,6,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,6,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,1,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,1,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,3,1,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,1,3,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,1,6,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,1,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,3,1,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,1,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,6,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,6,1,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,6,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,6,1,3,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,6,1,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,6,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,1,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,3,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,3,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,6,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,3,1,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,1,1,3,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,6,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,3,1,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,3,1,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,3,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,6,1,1,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,6,1,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,6,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,1,1,6] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[3,3,1,1,6,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,6,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,6,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,6,1,1,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,6,1,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,3,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[6,1,1,3,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,3,1,1,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,1,3,1,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,1,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,3,1,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,1,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,3,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,4,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,4,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,4,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,3,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,4,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,1,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,1,4,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,1,1,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,1,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,4,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,1,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,1,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,1,1,4,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,4,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,4,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,4,4,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,4,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,3,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,1,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,1,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,3,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,3,4,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,3,5,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,4,3,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,5,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,4,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,5,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,1,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,1,1,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,1,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,4,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,5,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,5,1,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,5,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,4,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,1,1,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,3,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,3,1,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,1,1,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,1,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,1,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,3,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,4,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,1,1,4,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,5,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,4,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,5,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,1,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,5,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,4,1,1,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,5,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,5,1,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,5,1,1,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,4,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,1,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,5,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,3,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,3,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,3,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,3,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,5,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,5,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,1,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,1,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,5,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,5,1,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,5,1,1,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,3,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,1,4,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,3,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,1,3,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,3,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,4,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,3,1,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,1,1,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,1,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,3,4,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,3,6,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,4,3,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,4,6,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,4,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,1,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,1,6,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,3,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,6,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,6,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,1,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,1,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,6,1,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,4,6,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,3,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,1,1,4,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,1,1,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,1,4,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,4,6,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,6,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,1,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,6,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,6,1,1,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,6,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,3,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,1,6,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,1,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,3,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,1,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,6,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,6,1,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,6,1,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,1,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,1,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,3,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,1,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,1,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,3,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,4,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,4,1,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,1,1,4,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,6,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[3,1,1,4,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,6,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,4,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,4,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,6,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,6,1,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,6,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,4,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,4,1,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,6,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,6,1,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,6,1,1,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,4,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,3,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,6,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,1,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,3,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,3,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,1,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,6,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,6,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,6,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,1,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,3,1,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,1,6,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,3,6,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,6,1,1,1,3] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,6,1,1,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,6,1,3,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,6,3,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,1,3,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,1,1,4,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,3,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,4,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,3,1,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,4,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,4,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,1,4,3,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,1,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,1,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,4,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,4,1,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,1,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,3,5,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,5,3,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,5,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,1,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,5,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,1,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,3,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,5,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,5,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,1,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,1,5,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,5,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,5,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,5,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,1,1,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,3,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,1,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,1,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,1,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,3,1,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,5,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,5,5,1,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,1,5,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,1,1,5,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,5,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,5,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,5,1,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,5,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,1,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,1,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,1,5,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,5,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,1,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,3,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,1,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,5,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,5,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,5,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,1,1,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,5,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,5,1,1,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,3,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,1,3,5,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,3,6,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,3,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,6,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,6,3,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,5,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,1,5,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,1,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,6,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,1,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,1,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,5,3,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,1,3,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,6,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,3,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,6,3,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,1,1,5,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,1,6,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,5,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,6,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,1,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,5,1,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,6,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,6,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,6,1,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,6,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,1,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,1,1,6,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,5,1,3,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,1,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,6,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,1,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,5,3,1,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,3,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,6,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,6,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,6,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,1,1,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,6,1,1,5,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,1,3,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,1,3,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,1,5,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,5,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,3,1,1,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,6,3,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,3,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,5,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,5,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,5,3,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,1,1,5,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,1,6,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,5,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,5,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,6,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,6,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,5,1,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,1,1,6,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,5,1,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,6,1,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,6,1,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,6,1,1,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,6,1,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,5,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,1,3,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,1,1,6,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,3,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,6,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,1,6,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,3,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,6,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,6,1,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,6,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,1,1,1,6] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[5,3,1,1,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,1,6,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,6,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,6,1,1,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,6,1,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,6,1,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,6,3,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,1,3,5] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[6,1,1,1,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,3,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,5,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,1,5,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,5,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,1,5,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,5,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,1,5,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,3,1,1,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,1,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,5,1,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,5,1,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,5,1,1,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,3,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,1,4,4,4] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,4,1,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,4,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,4,4,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,4,1,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,4,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,1,4,4,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,4,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,4,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,1,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,4,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,1,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,4,1,1,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,1,4,1,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,1,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,1,4,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,1,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,4,1,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,1,4,4,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,5,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,4,1,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,4,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,4,5,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,4,5,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,1,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,4,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,4,1,1,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,1,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,4,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,1,4,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,1,5,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,1,5,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,4,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,4,4,1,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,4,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,5,1,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,4,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,1,4,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,1,4,4,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,4,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,5,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,4,1,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,1,1,4,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,1,5,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,4,1,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,4,1,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,4,5,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,5,1,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,5,1,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,5,4,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,4,1,1,1,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[4,4,1,1,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,1,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,5,1,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,5,1,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,5,1,1,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,4,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,1,4,4] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[5,1,1,4,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,1,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,4,1,1,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,1,4,1,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,4,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,4,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,4,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,6,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,4,4] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,4,1,4,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,1,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,4,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,6,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,6,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,6,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,4,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,1,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,1,6,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,4,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,4,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,4,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,1,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,6,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,6,1,1,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,6,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,6,1,4,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,4,1,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,4,1,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,1,1,4,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,1,6,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,4,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,4,6,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,6,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,4,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,4,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,6,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,6,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,1,1,1,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,1,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,4,1,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,6,1,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[4,6,1,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,6,1,1,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,4,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,1,4,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,4,4,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,4,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,4,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,1,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,4,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,5,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,1,5,4,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,5,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,4,1,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,5,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,1,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,1,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,4,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,5,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,5,4,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,4,1,1,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,1,5,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,1,5,5,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,5,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,1,1,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,1,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,4,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,1,4,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,1,5,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,1,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,4,1,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,4,1,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,4,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,5,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,5,5,1,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,5,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,1,5,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[4,1,1,5,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,5,1,1,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,5,1,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,5,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,5,1,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,5,1,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,1,5,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,5,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,1,1,4,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,1,5,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,4,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,4,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,1,5,1,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,1,1,5,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,4,1,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,4,1,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,4,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,5,1,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,5,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,1,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,4,1,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,1,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,1,1,4] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[5,5,1,1,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,5,4,1,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,1,4,5,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,1,4,6,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,4,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,5,6,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,1,6,4,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,1,6,5,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,1,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,1,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,6,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,6,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,1,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,1,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,4,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,1,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,6,4,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,5,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,1,1,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,1,6,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,5,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,6,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,6,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,6,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,6,1,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,6,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,1,4,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,1,6,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,4,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,1,4,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,1,6,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,4,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,6,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,1,1,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,1,1,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,1,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,5,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,5,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,4,1,1,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,4,5,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,6,5,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,5,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,1,5,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,1,6,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,1,5,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,6,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,5,1,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,5,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,6,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,6,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,6,1,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,5,1,1,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,6,1,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,6,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,6,1,1,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,5,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,5,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,1,4,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,1,6,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,4,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,6,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,1,6,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,4,1,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,4,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,6,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,6,1,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,6,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,1,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,4,1,1,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,4,1,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,6,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,6,1,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,6,1,1,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,6,1,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,6,4,1,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,4,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,1,5,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,4,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,1,4,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,5,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,1,5,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,4,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,4,1,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,4,5,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,1,5,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,5,1,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,5,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,4,1,1,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,4,5,1,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,5,1,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,5,1,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,5,1,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,4,1,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,2,2,2] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,2,1,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,2,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,1,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,2,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,1,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,2,1,1,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,1,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,2,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,2,2,2,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,2,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,3,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,1,2,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,1,2,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,1,3,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,1,2,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,2,1,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,2,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,2,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,3,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,3,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,3,1,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,2,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,2,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,1,2,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,2,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,1,3,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,2,1,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,2,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,2,2,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,2,3,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,2,3,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,3,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,2,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,1,1,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,1,3,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,1,2,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,2,1,1,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,1,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,3,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,3,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,2,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,1,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,2,1,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,2,1,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,2,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,2,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,2,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,2,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,2,1,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,2,1,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,2,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,2,2,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,4,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,1,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,1,2,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,2,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,2,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,2,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,4,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,4,2,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,4,2,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,2,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,2,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,2,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,1,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,2,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,1,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,1,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,4,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,4,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,4,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,2,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,1,2,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,2,2,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,1,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,2,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,5,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,5,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,2,2,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,1,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,5,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,2,1,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,5,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,2,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,2,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,5,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,5,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,5,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,5,2,1,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,5,2,2,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,2,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,2,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,2,1,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,2,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,5,2,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,2,1,1,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,2,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,2,1,1,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,1,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,5,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,2,5,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,5,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,5,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,2,1,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,1,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,2,1,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,2,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,2,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,2,2,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,6,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,6,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,2,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,1,2,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,6,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,2,1,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,2,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,2,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,6,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,6,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,6,2,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,2,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,1,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,2,1,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,2,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,2,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,1,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,6,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,2,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,1,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,1,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,6,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,6,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,6,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,6,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,6,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,2,1,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,2,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[6,1,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,1,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,1,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,3,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,2,2,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,3,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,2,3,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,1,3,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,1,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,2,3,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,1,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,3,1,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,3,3,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,1,2,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,1,2,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,3,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,2,2,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,2,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,3,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,2,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,3,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,2,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,3,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,3,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,2,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,3,2,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,3,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,3,3,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,2,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,1,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,3,1,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,1,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,1,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,2,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,1,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,1,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,3,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,3,3,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,3,1,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,2,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,2,3,1,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,2,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,3,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,2,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,1,3,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,1,2,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,2,2,1,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,2,1,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,3,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,2,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,3,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,3,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,1,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,1,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,2,1,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,2,2,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,2,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,2,4,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,3,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,4,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,4,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,4,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,1,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,1,2,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,1,3,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,1,3,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,2,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,1,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,4,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,1,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,4,1,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,4,1,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,4,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,2,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,3,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,3,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,1,2,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,4,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,2,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,4,1,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,2,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,2,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,1,2,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,2,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,2,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,3,2,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,2,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,3,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,1,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,3,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,1,2,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,1,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,2,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,3,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,2,4,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,4,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,3,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,3,4,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,3,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,3,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,2,1,1,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,4,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,1,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,4,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,4,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,1,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,4,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,3,4,1,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,4,2,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,1,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,3,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,2,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,3,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,2,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,2,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,2,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,4,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,2,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,1,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,2,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,2,4,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,4,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,4,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,4,1,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,2,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,2,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,2,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,2,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,1,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,1,2,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,2,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,1,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,2,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,1,3,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,2,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,2,3,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,2,3,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,3,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,1,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,3,2,1,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,2,2,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,2,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,2,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,3,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,5,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,5,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,2,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,2,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,1,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,3,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,3,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,1,5,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,3,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,1,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,3,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,1,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,5,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,5,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,1,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,2,2,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,5,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,5,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,5,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,1,2,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,2,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,3,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,3,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,1,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,3,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,3,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,2,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,5,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,5,2,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,2,1,1,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,1,5,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,1,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,5,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,5,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,5,1,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,1,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,2,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,1,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,5,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,5,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,5,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,1,1,2,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,2,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,5,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,2,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,2,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,2,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,1,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,2,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,2,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,2,1,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,2,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,5,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,5,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,5,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,5,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,5,2,1,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,2,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,2,1,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,1,2,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,3,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,1,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,2,1,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,2,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,3,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,3,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,2,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,3,1,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,2,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,3,2,1,1,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,1,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,2,3,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,2,6,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,3,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,3,6,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,2,6,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,2,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,6,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,2,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,6,2,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,2,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,1,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,3,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,3,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,6,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,6,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,3,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,3,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,6,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,3,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,6,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,1,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,6,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,6,3,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,6,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,1,2,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,1,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,6,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,2,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,6,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,6,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,3,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,6,2,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,2,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,2,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,3,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,6,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,1,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,1,6,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,3,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,2,3,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,1,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,2,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,6,1,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,6,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,2,1,1,3,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,6,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,3,1,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,6,1,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,6,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,3,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,3,1,1,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,6,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,6,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,6,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,6,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,6,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,1,1,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,3,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,3,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,2,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,2,6,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,2,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,1,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,2,1,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,2,2,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,6,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,6,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,1,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,2,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,2,2,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,2,6,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,6,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,6,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,1,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,6,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,6,2,1,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,6,2,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,2,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,1,2,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,2,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,2,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,3,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,3,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,2,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,1,1,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,1,2,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,3,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,2,2,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,1,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,2,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,3,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,1,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,2,1,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,2,1,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,3,2,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,2,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,4,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,4,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,4,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,2,4,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,1,4,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,4,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,4,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,2,4,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,4,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,4,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,4,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,4,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,2,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,4,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,2,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,1,1,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,4,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,4,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,4,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,2,1,1,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,1,4,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,4,1,1,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,1,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,2,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,1,4,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,2,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,4,4,1,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,2,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,2,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,2,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,2,4,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,4,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,4,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,1,1,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,2,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,2,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,1,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,2,4,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,2,2,5,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,4,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,2,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,2,2,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,2,1,2,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,1,2,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,4,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,5,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,1,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,4,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,1,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,2,5,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,1,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,1,5,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,4,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,4,5,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,4,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,2,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,2,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,1,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,2,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,2,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,2,5,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,5,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,2,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,4,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,5,2,4,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,4,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,4,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,2,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,1,5,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,2,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,2,5,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,4,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,4,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,5,2,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,5,4,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,2,1,1,4,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,5,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,1,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,4,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,5,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,4,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,4,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,5,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,5,1,1,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,5,1,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,1,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,2,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,2,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,5,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,5,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,1,1,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,1,2,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,2,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,2,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,2,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,4,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,4,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,2,2,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,5,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,1,2,1,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,1,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,2,2,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,2,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,5,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,5,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,2,1,1,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,2,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,5,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,2,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,2,5,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,5,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,5,1,2,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,2,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,2,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,2,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,2,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,2,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,4,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,4,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,2,1,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,2,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,1,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,4,2,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,1,1,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,1,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,2,1,1,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,2,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,2,4,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,2,6,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,4,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,6,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,6,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,6,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,6,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,1,2,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,2,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,4,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,2,1,4,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,1,6,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,4,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,6,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,2,6,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,2,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,2,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,6,1,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,4,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,4,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,2,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,2,2,1,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,2,2,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,6,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,6,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,1,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,1,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,2,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,2,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,4,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,4,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,6,4,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,1,1,2,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,2,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,6,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,2,1,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,1,6,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,2,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,6,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,4,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,6,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,6,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,4,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,2,1,1,4,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,6,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,4,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,6,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,6,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,6,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,4,1,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,1,1,6,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,2,1,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,2,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,6,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,4,6,1,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,1,1,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,1,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,2,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,2,4,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,4,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,4,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,2,2,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,1,2,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,2,1,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,2,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,2,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,2,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,6,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,6,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,6,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,1,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,2,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,2,2,1,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,2,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,6,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,6,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,6,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,6,1,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,1,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,6,2,1,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,6,2,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,2,2,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,2,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,1,4,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,2,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,2,2,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,2,2,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,4,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,2,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,4,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,2,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,1,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,2,2,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,2,2,1,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,2,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,2,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,2,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,2,5,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,5,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,5,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,2,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,5,2,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,1,2,5,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,1,5,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,1,5,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,2,5,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,5,1,2,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,5,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,2,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,5,5,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,2,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,2,2,1,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,5,2,2,5,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,5,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,5,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,5,5,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,2,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,5,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,2,1,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,5,2,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,5,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,5,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,5,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,1,5,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,1,5,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,5,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,5,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,5,1,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,5,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,5,1,1,2,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,1,1,5,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,2,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,5,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,2,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,2,1,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,5,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,5,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,2,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,5,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,2,1,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,2,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,2,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,2,5,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,1,2,5,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,2,5,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,5,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,5,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,1,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,1,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,5,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,2,2,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,2,1,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,2,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,5,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,5,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,5,1,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,2,1,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,2,1,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,2,2,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,2,2,5,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,2,2,6,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,2,5,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,6,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,2,6,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,2,6,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,2,2,6] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,5,2,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,6,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,6,2,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,5,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,2,1,2,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,1,2,6,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,1,5,2,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,1,5,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,6,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,1,6,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,2,1,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,1,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,6,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,5,1,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,6,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,5,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,6,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,6,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,2,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,6,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,5,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,1,2,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,2,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,1,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,2,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,1,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,2,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,2,2,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,2,6,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,6,1,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,5,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,2,1,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,2,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,2,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,6,2,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,2,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,5,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,5,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,2,6,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,2,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,5,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,6,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,2,1,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,1,6,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,2,5,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,2,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,2,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,5,6,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,1,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,6,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,5,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,2,1,1,5,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,1,1,6,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,1,5,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,5,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,6,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,6,1,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,5,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,5,1,1,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,6,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,1,2,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,2,1,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,5,6,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,6,1,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,5,6,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,1,1,5,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,5,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,2,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,2,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,6,5,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,5,1,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,5,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,2,2,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,2,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,1,6,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,2,1,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,1,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,2,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,2,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,6,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,6,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,1,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,1,1,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,2,1,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,6,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,2,6,1,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,2,6,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,6,1,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,6,1,2,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,1,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,2,1,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,6,2,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,6,2,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,2,2,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,1,2,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,5,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,2,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,1,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,2,2,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,2,2,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,2,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,2,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,5,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,1,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,1,1,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,1,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,1,2,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,2,1,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,1,5,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,2,1,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,2,2,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,2,5,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[6,2,5,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,2,5,1,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,5,1,1,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,5,1,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,1,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,2,1,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,5,2,1,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,2,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,3,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,3,2,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,3,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,3,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,3,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,3,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,1,3,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,3,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,3,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,3,1,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,2,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,3,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,3,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,1,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,3,1,3,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,3,1,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,1,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,3,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,3,1,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,3,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,3,2,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,2,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,3,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,3,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,3,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,3,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,1,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,1,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,1,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,3,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,3,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,3,1,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,2,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,2,3,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,3,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,4,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,3,2,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,3,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,4,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,4,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,1,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,3,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,1,4,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,3,1,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,3,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,4,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,3,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,3,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,3,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,1,4,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,1,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,2,1,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,2,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,3,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,2,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,3,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,4,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,4,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,4,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,3,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,3,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,1,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,2,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,3,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,1,1,3,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,3,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,3,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,3,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,3,3,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,4,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,3,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,3,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,1,3,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,3,1,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,1,3,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,3,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,3,1,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,4,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,3,4,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,1,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,1,3,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,3,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,3,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,3,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,4,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,1,4,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,3,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,3,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,3,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,4,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,4,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,1,1,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,4,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,1,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,3,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,3,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,4,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,1,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,4,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,4,1,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,2,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,4,1,1,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,2,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,3,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,3,2,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,3,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,3,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,3,1,1,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,1,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,1,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,3,2,1,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,3,3,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,3,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,3,2,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,3,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,3,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,3,2,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,2,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,3,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,5,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,5,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,3,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,1,3,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,3,1,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,3,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,5,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,5,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,2,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,3,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,5,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,1,3,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,2,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,3,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,3,1,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,5,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,3,2,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,3,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,5,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,1,3,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,5,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,3,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,1,3,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,5,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,3,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,3,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,3,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,3,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,3,1,1,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,3,1,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,5,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,5,1,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,1,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,1,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,3,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,1,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,2,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,3,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,3,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,2,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,1,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,3,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,3,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,1,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,3,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,5,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,1,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,1,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,3,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,3,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,5,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,5,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,5,1,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,1,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,1,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,5,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,5,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,5,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,1,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,1,3,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,2,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,3,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,3,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,1,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,3,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,2,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,3,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,3,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,1,1,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,3,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,3,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,3,1,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,1,1,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,2,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,1,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,2,1,1,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,1,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,2,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,3,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,3,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,3,3,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,3,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,2,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,3,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,3,6,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,6,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,6,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,3,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,1,3,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,3,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,1,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,3,1,6] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,6,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,6,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,6,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,2,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,3,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,3,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,2,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,6,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,2,6,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,3,1,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,6,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,6,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,6,1,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,6,2,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,6,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,3,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,2,1,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,3,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,2,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,3,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,3,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,3,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,3,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,3,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,3,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,3,1,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,3,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,3,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,1,1,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,1,3,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,6,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,3,1,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,3,1,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,6,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,6,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,6,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,6,1,3,1,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,6,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,3,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,3,1,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,3,3,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,1,2,3,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,3,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,6,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,1,6,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,3,1,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,2,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,3,1,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,1,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,3,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,6,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,6,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,1,3,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,3,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,3,1,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,3,1,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,6,1,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,6,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,3,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,3,1,1,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,6,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,2,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,6,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,6,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,6,2,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,6,1,1,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,1,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,2,1,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,6,2,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,3,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,6,3,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,6,3,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,3,2,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,3,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,2,1,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,2,3,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,3,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,3,1,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,2,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,1,3,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,3,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,3,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[6,2,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,1,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,3,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,3,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,3,3,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,1,1,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,1,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,2,1,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,3,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,3,3,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,3,2,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,3,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,4,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,4,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,2,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,4,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,2,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,4,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,1,3,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,4,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,4,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,3,1,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,4,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,4,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,4,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,1,2,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,1,4,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,4,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,4,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,4,4,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,1,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,3,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,2,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,3,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,4,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,4,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,4,1,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,4,1,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,3,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,4,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,4,4,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,3,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,4,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,4,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,3,1,4,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,3,4,1,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,4,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,1,1,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,1,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,3,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,4,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,4,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,3,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,2,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,4,4,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,1,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,4,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,4,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,4,4,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,4,4,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,4,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,4,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,4,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,2,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,1,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,2,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,4,4,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,4,2,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,2,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,3,4,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,1,2,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,2,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,3,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,1,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,4,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,1,1,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,4,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,2,4,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,3,1,1,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,1,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,1,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,3,2,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,3,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,4,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,4,1,1,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,1,1,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,3,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,1,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,3,2,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,1,2,3,4,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,1,2,3,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,4,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,4,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,2,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,4,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,5,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,3,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,3,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,5,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,2,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,3,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,1,3,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,1,3,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,1,4,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,4,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,5,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,5,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,3,1,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,4,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,4,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,5,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,5,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,5,1,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,3,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,4,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,1,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,5,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,2,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,2,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,1,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,5,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,4,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,1,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,1,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,3,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,1,5,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,1,5,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,5,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,3,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,1,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,2,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,3,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,1,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,5,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,5,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,1,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,4,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,2,4,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,2,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,3,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,4,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,3,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,4,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,4,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,3,2,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,1,1,3,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,1,4,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,4,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,4,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,1,3,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,1,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,5,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,4,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,3,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,4,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,1,1,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,3,1,1,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,1,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,4,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,5,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,4,1,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,4,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,5,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,3,5,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,5,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,4,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,1,3,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,4,1,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,3,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,5,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,3,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,5,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,5,1,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,5,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,1,1,3,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,1,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,3,1,1,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,5,3,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,3,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,4,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,4,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,4,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,5,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,1,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,1,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,4,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,2,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,4,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,5,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,5,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,1,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,5,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,1,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,5,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,4,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,5,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,5,1,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,5,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,1,2,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,1,2,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,5,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,1,5,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,2,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,2,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,5,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,4,5,1,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,5,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,5,1,1,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,5,1,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,1,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,2,1,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,4,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,5,4,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,5,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,1,5,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,1,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,3,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,1,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,3,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,5,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,5,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,1,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,5,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,5,1,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,5,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,1,1,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,1,2,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,1,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,3,2,1,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,5,1,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,3,5,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,5,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,5,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,5,1,1,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,5,1,1,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,1,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,3,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,5,3,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,3,2,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,1,2,3,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,1,1,2,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,2,1,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,2,3,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,2,3,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,2,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,4,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,2,1,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,4,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,4,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,3,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,4,1,1,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,2,4,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,4,3,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,3,1,1,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,4,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,1,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,2,1,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,1,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,4,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,4,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,1,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,1,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,2,1,1,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,3,1,1,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,3,1,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,3,2,1,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,1,2,3,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,3,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,4,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,4,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,6,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,2,6,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,2,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,6,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,3,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,4,6,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,6,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,6,4,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,1,3,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,3,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,4,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,1,4,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,1,6,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,3,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,1,6,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,3,4,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,6,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,1,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,3,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,3,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,6,1,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,2,4,6,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,4,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,6,4,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,4,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,2,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,4,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,4,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,1,6,4,2] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,3,2,1,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,1,6,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,2,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,2,6,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,6,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,2,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,6,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,4,6,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,6,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,2,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,6,2,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,2,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,2,6,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,1,3,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,1,6,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,1,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,3,1,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,1,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,3,2,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,2,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,3,6,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,6,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,6,1,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,6,2,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,6,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,6,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,1,2,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,3,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,1,3,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,1,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,1,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,2,3,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,2,3,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,2,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,3,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,3,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,4,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,3,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,6,4,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,1,3,4,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,4,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,1,4,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,1,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,6,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,6,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,1,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,3,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,4,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,4,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,1,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,4,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,1,1,4,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,1,1,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,1,4,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,6,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,4,1,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,3,4,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,6,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,6,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,1,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,1,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,3,6,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,6,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,3,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,6,1,1,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[2,4,6,1,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,4,6,3,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,1,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,1,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,1,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,1,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,3,1,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,3,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,3,4,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,6,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,4,1,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,2,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,4,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,4,2] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,1,2,1,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,1,6,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,2,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,1,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,1,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,4,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,6,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,6,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,6,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,4,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,4,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,2,1,1,4,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,6,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,4,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,4,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,6,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,6,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,6,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,6,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,1,1,6,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,2,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,1,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,4,2,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,6,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,4,6,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,6,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,1,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,1,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,1,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,6,2,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,6,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,6,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,6,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,1,1,3,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,3,6,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,6,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,2,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,1,6,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,3,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,2,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,6,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,2,6,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,3,1,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,1,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,6,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,6,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,6,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,6,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,2,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,6,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,1,3,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,1,3,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,1,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,6,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,6,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,1,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,3,1,6,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,6,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,6,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,6,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,1,1,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,1,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,1,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,3,2,1,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,6,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,3,6,1,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,6,1,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,6,2,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,6,1,1,2,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,1,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,6,1,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,1,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,6,2,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,6,2,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,6,3,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,6,3,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,3,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,3,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,1,1,2,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,1,3,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,3,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,4,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,3,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,2,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,2,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,3,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,1,2,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,1,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,2,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,1,4,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,1,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,1,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,1,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,1,3,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,1,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,3,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,3,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,2,3,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,4,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,3,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,1,1,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,1,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,2,1,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,2,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,3,2,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,4,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[6,3,4,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,4,2,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,1,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,1,3,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,4,1,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,4,2,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,2,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,4,3,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,3,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,3,2,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,1,2,3,5,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,2,5,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,5,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,2,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,5,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,2,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,5,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,5,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,2,1,3,5,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,1,5,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,1,5,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,5,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,5,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,5,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,5,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,1,2,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,5,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,5,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,1,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,5,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,5,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,1,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,5,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,5,5,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,3,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,1,5,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,1,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,1,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,3,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,5,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,3,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,2,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,5,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,5,1,2,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,1,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,3,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,1,5,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,1,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,5,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,3,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,5,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,5,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,1,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,3,1,5,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,5,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,5,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,3,5,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,5,1,1,3,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,1,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,1,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,1,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,3,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,5,5,1,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,2,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,5,2,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,5,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,1,5,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,5,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,5,2,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,5,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,5,5,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,5,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,1,1,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,5,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,5,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,5,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,5,1,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,1,1,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,1,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,1,5,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,5,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,2,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,5,1,1,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,5,5,1,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,5,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,3,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,1,3,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,3,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,2,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,2,5,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,3,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,3,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,1,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,5,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,5,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,3,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,1,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,1,3,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,3,1,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,3,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,5,1,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,1,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,2,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,5,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,2,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,1,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,5,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,5,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,1,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,5,1,1,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,3,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,2,1,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,2,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,3,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,5,3,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,3,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,3,5,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,3,6,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,6,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,5,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,2,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,3,5,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,2,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,3,6,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,6,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,1,5,3,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,3,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,6,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,6,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,6,2,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,6,3,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,1,3,5,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,1,3,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,5,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,5,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,6,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,3,1,5,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,1,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,6,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,6,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,1,3,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,1,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,5,3,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,6,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,6,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,1,3,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,6,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,6,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,2,5,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,2,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,2,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,1,5,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,6,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,1,6,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,5,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,1,6,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,2,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,6,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,6,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,5,1,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,1,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,2,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,6,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,2,5,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,3,6,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,2,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,1,2,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,1,3,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,3,6,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,1,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,6,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,6,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,2,6,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,3,1,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,3,1,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,3,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,6,1,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,6,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,6,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,6,3,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,6,3,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,1,2,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,1,3,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,3,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,1,5,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,2,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,1,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,2,3,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,2,3,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,5,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,2,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,6,3,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,1,5,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,6,3,2,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,3,2,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,3,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,5,1,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,5,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,5,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,5,3,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,1,3,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,3,6,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,6,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,1,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,1,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,5,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,6,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,1,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,5,3,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,6,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,5,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,1,1,5,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,3,1,1,6,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,5,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,6,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,3,5,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,6,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,3,6,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,1,1,3,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,1,1,6,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,3,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,1,6,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,6,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,3,1,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,3,1,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,3,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,5,6,1,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,6,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,3,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,1,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,3,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,1,3,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,1,5,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,1,5,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,3,1,1,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,3,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,3,5,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,5,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,5,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,2,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,2,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,5,6,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,6,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,1,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,1,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,5,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,5,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,6,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,6,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,2,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,2,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,5,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,6,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,6,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,1,5,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,1,1,6,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,1,5,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,5,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,5,1,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,6,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,6,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,1,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,1,1,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,1,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,6,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,6,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,2,1,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,2,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,6,1,1,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,5,6,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,6,2,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,2,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,6,1,1,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,1,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,1,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,1,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,1,5,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,2,1,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,6,2,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,2,5,1,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,6,5,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,5,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,5,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,1,2,6,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,6,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,1,1,6,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,6,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,1,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,3,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,2,6,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,6,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,1,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,2,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,6,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,6,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,6,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,6,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,6,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,6,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,6,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,1,3,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,6,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,6,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,3,1,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,6,1,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,6,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,6,3,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,1,1,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,1,2,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,6,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,2,1,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,2,1,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,2,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,6,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,6,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,6,2,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,6,1,1,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,6,1,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,6,1,2,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,6,1,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,1,3,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,6,1,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,6,2,1,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,6,2,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,2,3,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,6,3,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,6,3,1,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,3,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,1,2,5,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,3,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,5,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,5,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,1,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,2,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,2,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,1,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,3,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,3,5,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,5,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,1,5,2,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,5,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,5,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,1,1,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,1,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,1,5,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,1,5,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,1,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,3,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,5,1,1,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,2,5,1,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,3,1,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,1,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,3,2,1,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,2,1,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,3,2,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,5,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,5,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,5,2,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,5,1,1,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,1,1,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,2,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,5,1,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,5,1,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,3,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,2,1,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,5,2,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,5,2,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,3,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,3,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,5,3,2,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,1,2,4,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,4,2,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,4,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,1,4,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,4,1,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,4,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,1,2,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,4,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,4,1,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,2,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,4,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,1,4,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,4,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,4,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,4,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,1,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,4,4,1,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,4,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,1,4,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,2,4,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,2,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,4,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,4,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,4,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,4,4,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,1,1,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,4,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,4,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,4,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,2,4,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,4,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,4,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,1,1,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,4,1,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,2,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,2,4,4,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,4,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,4,2,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,4,5,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,5,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,4,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,5,4,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,1,4,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,4,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,1,5,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,4,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,4,4,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,5,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,4,5,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,1,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,5,4,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,2,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,2,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,1,4,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,1,4,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,1,5,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,1,5,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,4,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,5,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,4,2,5,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,4,1,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,4,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,5,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,4,4,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,5,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,5,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,2,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,4,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,2,1,4,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,5,2,4,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,4,4,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,5,4,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,4,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,4,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,4,4,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,4,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,4,1,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,4,4,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,4,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,4,5,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,4,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,4,1,1,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,1,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,4,1,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,4,1,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,4,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,4,1,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,5,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,5,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,5,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,4,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,1,1,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,5,1,4,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,4,4,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,4,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,4,4,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,2,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,5,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,4,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,5,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,5,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,1,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,4,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,2,4,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,5,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,4,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,4,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,4,5,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,5,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,2,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,4,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,4,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,1,4,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,1,4,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,5,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,4,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,4,1,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,4,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,5,1,1,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,2,5,1,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,5,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,4,1,1,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,5,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,4,1,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,1,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,5,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,2,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,5,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,5,1,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,5,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,5,1,1,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,2,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,1,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,1,4,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,1,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,1,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,2,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,4,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,4,1,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,4,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,4,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,2,1,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,4,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,4,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,4,4,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,1,1,4,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,1,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,1,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,4,1,1,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,1,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,2,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,1,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,4,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,4,1,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,4,4,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,4,4,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,4,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,6,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,2,4,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,4,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,6,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,6,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,6,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,4,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,6,4,4,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,1,4,4,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,2,1,4,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,1,6,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,4,1,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,1,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,4,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,4,6,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,6,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,1,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,6,4,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,1,2,4,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,2,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,4,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,1,6,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,2,1,4,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,2,4,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,2,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,4,1,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,1,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,4,2,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,6,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,6,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,6,1,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,6,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,6,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,6,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,6,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,1,4,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,1,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,4,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,4,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,4,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,4,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,1,4,4,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,4,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,4,1,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,1,6,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,4,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,6,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,6,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,4,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,1,4,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,1,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,1,4,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,4,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,1,6,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,4,1,1,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,4,4,1,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,4,6,1,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,4,6,1,1,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,4,6,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,6,1,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,1,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,4,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,4,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,2,4,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,2,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,4,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,4,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,6,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,1,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,1,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,4,1,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,6,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,6,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,1,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,4,2,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,6,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,6,1,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,6,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,4,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,6,4,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,1,1,4,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,1,4,1,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,2,4,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,2,4,1,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,4,6,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,6,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,6,1,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,1,1,2,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,1,1,6,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,4,1,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,2,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,2,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,2,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,6,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,6,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,6,2,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,6,1,1,2,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,6,1,1,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,2,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,6,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,1,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,6,2,1,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,2,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,6,4,1,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,6,4,1,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,1,4,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,4,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,1,4,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,4,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,2,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,4,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,4,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,4,4,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,1,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,2,1,4,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,2,1,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,4,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,4,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,4,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,1,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,1,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,2,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,4,1,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,2,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,4,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,4,1,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,4,4,1,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,4,4,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,4,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,2,5,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,5,5,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,2,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,5,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,5,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,2,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,2,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,5,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,5,5,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,2,1,4,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,1,5,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,1,5,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,1,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,4,5,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,1,4,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,5,1,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,5,5,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,2,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,1,5,2,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,1,5,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,2,1,5,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,5,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,5,5,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,4,5,1,2,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,5,1,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,5,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,5,5,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,5,5,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,1,2,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,2,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,4,2,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,1,4,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,1,5,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,1,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,5,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,2,4,1,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,2,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,5,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,2,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,4,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,4,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,4,2,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,5,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,5,1,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,5,4,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,5,4,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,1,4,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,1,5,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,5,5,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,4,1,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,1,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,4,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,5,4,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,5,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,5,5,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,4,1,1,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,4,1,5,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,1,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,5,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,5,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,5,1,1,4,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,1,1,5,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,4,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,1,4,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,5,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,5,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,4,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,4,1,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,4,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,5,1,1,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,5,5,1,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,5,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,2,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,5,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,5,5,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,1,2,1,5,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,2,5,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,5,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,5,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,2,1,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,2,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,5,5,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,5,5,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,1,1,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,5,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,5,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,5,1,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,5,5,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,5,1,1,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,5,1,1,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,2,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,5,1,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,1,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,2,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,5,5,1,1,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,5,5,1,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,5,2,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,1,1,2,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,4,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,1,4,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,2,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,2,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,4,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,2,5,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,1,2,5,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,1,5,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,1,4,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,1,4,5,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,4,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,5,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,5,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,5,2,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,5,2,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,5,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,1,4,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,1,4,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,1,5,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,2,4,1,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,4,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,5,1,4,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,2,5,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,1,1,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,4,1,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,1,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,5,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,5,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,4,2,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,5,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,5,1,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,5,1,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,5,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,1,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,1,4,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,2,1,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,2,1,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,5,2,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,4,1,1,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,4,1,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,4,2,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,2,4,5,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,2,4,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,2,5,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,2,5,6,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,2,6,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,2,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,4,2,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,6,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,6,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,4,6,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,2,4,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,2,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,5,4,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,4,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,6,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,2,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,2,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,6,4,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,5,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,5,4,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,1,4,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,1,4,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,5,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,1,5,6,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,1,6,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,1,6,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,1,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,1,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,4,6,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,6,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,1,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,1,6,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,6,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,5,6,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,1,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,6,4,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,5,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,5,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,1,2,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,2,6,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,5,2,6] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,4,1,5,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,1,6,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,1,6,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,1,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,1,6,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,2,5,1,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,2,5,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,6,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,6,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,1,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,6,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,5,6,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,6,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,6,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,6,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,2,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,4,6,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,2,4,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,2,6,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,1,4,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,1,4,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,1,6,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,2,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,1,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,4,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,4,6,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,2,6,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,6,4,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,4,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,4,1,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,4,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,6,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,1,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,6,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,6,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,4,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,6,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,2,4,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,1,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,4,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,1,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,5,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,1,5,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,2,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,1,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,4,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,5,1,4] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,6,2,5,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,4,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,1,5,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,6,4,2,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,6,4,5,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,5,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,5,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,5,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,5,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,5,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,5,4,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,1,4,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,4,6,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,1,1,5,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,1,5,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,1,1,6,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,1,6,5,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,1,4,1,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,1,6,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,5,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,5,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,6,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,6,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,5,1,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,5,1,6,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,4,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,6,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,1,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,4,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,6,4,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,6,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,1,1,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,1,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,6,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,1,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,5,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,6,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,4,6,1,1,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,4,6,1,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,5,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,5,1,1,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,1,1,6,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,4,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,1,6,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,4,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,4,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,6,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,6,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,6,1,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,1,1,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,1,1,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,4,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,1,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,5,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,1,5,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,4,1,1,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,4,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,4,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,5,1,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,6,5,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,5,4,1,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,2,5,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,2,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,5,2,6] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[4,1,1,5,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,6,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,1,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,1,6,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,6,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,2,6,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,1,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,1,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,5,2,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,6,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,1,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,6,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,6,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,1,5,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,1,6,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,1,5,1,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,5,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,5,1,1,6] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,2,5,1,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,5,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,6,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,2,6,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,6,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,1,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,1,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,1,2,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,2,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,6,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,6,1,1,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,5,6,1,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,6,2,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,1,1,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,1,5,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,6,1,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,2,1,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,6,2,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,2,5,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,6,5,1,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,6,5,1,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,5,2,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,2,4,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,2,6,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,1,6,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,6,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,2,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,1,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,4,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,1,2,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,6,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,4,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,1,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,2,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,6,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,6,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,6,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,6,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,6,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,6,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,6,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,6,4,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,1,1,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,1,6,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,4,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,6,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,4,1,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,1,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,4,6,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,6,1,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,6,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,6,4,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,4,1,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,1,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,4,1,2,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,1,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,6,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,2,1,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,4,2,1,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,2,6,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,6,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,6,1,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,6,2,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,6,1,1,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,6,1,1,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,6,1,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,1,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,6,1,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,6,1,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,2,1,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,6,2,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,2,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,6,4,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,6,4,1,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,4,2,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,2,4,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,1,2,5,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,1,1,4,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,4,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,5,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,1,5,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,2,1,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,2,4,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,1,2,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,4,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,2,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,1,4,5,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,4,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,5,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,2,4,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,1,5,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,1,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,1,5,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,2,1,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,1,4,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,2,1,5,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,2,1,5,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,4,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,4,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,4,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,5,1,1,4] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[6,2,5,1,4,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,2,5,4,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,4,1,1,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,4,1,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,5,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,4,2,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,2,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,5,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,4,5,1,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,5,1,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,4,5,2,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,5,1,1,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,5,1,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,5,1,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,5,2,1,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,5,2,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,2,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,4,1,1,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,4,1,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,4,2,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,1,3,3,3,3] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,3,1,3,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,3,3,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,3,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,1,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,3,1,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,3,3,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,1,1,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,1,3,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,1,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,3,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,3,1,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,3,1,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,1,3,3,3,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,3,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,3,4,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,3,1,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,3,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,4,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,3,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,1,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,3,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,4,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,3,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,3,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,3,1,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,3,3,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,3,3,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,3,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,3,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,3,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,3,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,3,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,3,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,1,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,4,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,3,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,3,1,1,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,3,1,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,4,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,4,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,4,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,3,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,3,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,3,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,3,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,3,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,1,3,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,3,3,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,3,3,3,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,3,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,3,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,3,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,3,3,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,3,3,5,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,5,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,5,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,3,3,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,1,3,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,1,5,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,1,3,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,3,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,3,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,3,5,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,3,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,5,1,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,5,3,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,3,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,1,3,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,5,3,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,3,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,3,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,3,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,1,5,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,3,1,3,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,3,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,3,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,3,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,5,1,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,3,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,5,1,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,3,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,5,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,3,1,1,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,1,5,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,1,3,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,3,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,3,1,1,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,3,1,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,5,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,5,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,5,1,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,5,1,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,3,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,3,1,1,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,5,3,1,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,3,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,1,3,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,3,1,1,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,3,1,3,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,1,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,3,3,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,3,1,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,3,3,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,3,3,3,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,3,6,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,6,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,1,3,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,1,6,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,1,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,1,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,3,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,3,6,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,3,6,1,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,3,6,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,6,1,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,6,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,3,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,6,3,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,3,3,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,3,3,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,1,3,6,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,1,3,1,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,3,1,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,3,1,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,3,3,6,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,3,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,3,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,1,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,6,3,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,6,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,3,1,1,3,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,6,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,3,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,3,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,1,6,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,3,1,1,6] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[3,3,3,1,6,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,6,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,6,1,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,6,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,6,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,6,1,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,6,1,3,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,3,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,6,3,1,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,3,3,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,1,3,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[6,1,3,1,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,3,3,1,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,1,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,3,1,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,3,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,1,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,3,3,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,3,3,1,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,3,3,1,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,3,3,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,4,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,4,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,3,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,4,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,3,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,1,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,4,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,4,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,3,4,4,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,4,1,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,4,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,4,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,4,4,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,1,3,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,3,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,4,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,3,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,4,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,3,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,3,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,4,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,3,1,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,3,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,4,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,4,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,4,4,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,3,1,1,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,1,4,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,4,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,4,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,4,1,1,3,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,4,1,1,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,3,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,4,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,3,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,3,1,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,3,4,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,4,4,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,4,4,1,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,3,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,3,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,3,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,3,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,3,3,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,3,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,3,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,4,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,3,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,3,1,1,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,4,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,3,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,3,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,4,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,4,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,1,3,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,3,4,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,3,5,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,4,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,4,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,3,3,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,3,3,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,3,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,3,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,3,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,1,4,3,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,4,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,5,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,5,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,3,1,4,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,3,4,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,5,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,1,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,4,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,5,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,4,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,5,1,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,1,3,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,1,3,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,3,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,3,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,5,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,3,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,4,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,3,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,3,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,4,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,1,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,4,3,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,3,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,3,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,4,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,5,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,3,1,4,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,1,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,4,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,4,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,5,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,5,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,3,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,5,3,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,5,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,4,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,3,1,1,4,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,5,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,4,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,4,1,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,4,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,4,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,5,1,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,5,1,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,4,1,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,3,1,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,3,1,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,3,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,5,1,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,4,5,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,3,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,1,1,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,1,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,3,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,1,4,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,1,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,3,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,4,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,3,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,1,3,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,3,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,3,3,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,5,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,5,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,5,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,3,1,1,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,3,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,3,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,5,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,5,1,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,1,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,5,3,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,3,1,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,3,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,1,3,3,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,3,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,4,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,1,3,1,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,3,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,3,3,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,4,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,4,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,1,3,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,3,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,3,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,3,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,3,4,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,1,1,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,4,1,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,3,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,3,1,1,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,3,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,3,4,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,3,3,6,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,4,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,4,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,6,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,3,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,4,3,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,6,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,3,3,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,6,3,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,3,4,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,1,3,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,1,4,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,4,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,1,6,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,6,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,3,1,4,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,6,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,3,4,1,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,3,4,6,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,3,6,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,6,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,1,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,3,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,3,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,6,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,4,6,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,6,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,6,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,3,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,3,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,1,6,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,3,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,3,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,3,6,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,1,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,6,3,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,1,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,3,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,4,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,3,3,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,3,3,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,6,4,3,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,3,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,3,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,4,3,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,4,6,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,1,6,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,3,1,4,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,3,1,6,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,1,3,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,3,6,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,6,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,1,3,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,1,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,4,3,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,4,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,4,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,6,3,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,6,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,4,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,3,1,1,4,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,6,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[3,3,1,4,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,6,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,6,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,4,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,4,1,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,6,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,6,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,6,1,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,6,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,4,1,1,3,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,3,1,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,3,1,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,3,6,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,6,1,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,6,1,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,1,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,3,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,1,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,4,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,1,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,3,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,3,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,3,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,6,4,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,6,4,1,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,1,3,3,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,3,1,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,1,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,3,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,3,6,1,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,1,3,6,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,6,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,6,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,3,1,1,3,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,1,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,3,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,3,3,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,3,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,6,1,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,6,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,6,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,6,1,1,3,3] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,6,1,3,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,6,1,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,6,3,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,3,1,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,6,3,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,1,1,3,3,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,1,3,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,1,4,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,3,1,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,1,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,3,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,3,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,4,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,3,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,1,1,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,1,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,4,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,3,1,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,3,3,1,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,3,3,4,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,3,4,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,4,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,4,3,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,4,1,3,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,4,1,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,3,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,3,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,3,5,5] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,3,5,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,5,5,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,5,3,3,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,3,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,5,3,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,3,1,3,5,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,1,5,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,1,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,1,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,5,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,5,1,3,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,5,1,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,3,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,5,1,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,5,5,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,3,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,5,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,3,3,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,3,3,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,3,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,5,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,5,5,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,1,3,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,1,5,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,5,5,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,3,1,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,3,5,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,5,3,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,5,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,5,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,5,5,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,1,5,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,1,5,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,5,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,5,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,5,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,5,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,5,1,1,3,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,5,1,1,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,1,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,1,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,3,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,5,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,5,1,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,5,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,1,3,1,3,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,1,3,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,3,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,3,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,3,5,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,1,3,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,5,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,5,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,1,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,1,1,5,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,1,3,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,3,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,5,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,3,3,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,3,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,5,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,3,5,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,5,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,5,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,5,1,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[5,5,1,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,3,1,1,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,5,3,1,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,5,3,3,1,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,1,3,3,5,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,3,6,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,3,5,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,3,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,3,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,5,6,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,6,3,3,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,6,3,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,5,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,3,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,1,3,6,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,5,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,5,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,6,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,1,6,5,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,3,1,5,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,1,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,3,6,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,6,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,5,1,3,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,1,6,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,1,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,5,3,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,6,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,5,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,3,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,6,1,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,1,3,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,1,6,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,6,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,3,3,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,3,3,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,3,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,6,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,6,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,6,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,1,3,3,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,6,1,3,5,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,6,1,5,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,3,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,3,1,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,6,3,3,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,6,3,3,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,5,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,6,5,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,5,3,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,5,3,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,3,5,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,1,3,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,5,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,6,5,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,3,1,5,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,1,6,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,3,5,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,3,5,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,3,6,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,6,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,1,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,3,1,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,1,5,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,6,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,1,3,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,6,1,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,3,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,6,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,3,1,1,5,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,1,6,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,5,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,5,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,6,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,1,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,5,1,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,6,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,6,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,6,1,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,1,1,6,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,1,3,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,1,3,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,1,6,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,5,1,6,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,1,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,5,3,1,6,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,3,6,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,6,1,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,5,6,1,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,6,3,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,6,1,1,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,6,1,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,3,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,6,1,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,1,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,3,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,3,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,3,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,5,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,5,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,3,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,6,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,1,3,1,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,1,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,3,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,3,3,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,3,6,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,1,3,6,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,6,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,6,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,3,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,6,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,1,3,1,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,3,1,3,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,6,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,1,6,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,3,3,1,1,6] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[5,3,3,1,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,3,6,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,3,6,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,6,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,6,3,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,6,1,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,6,1,3,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,6,1,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,3,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,6,3,1,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,6,3,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,1,1,3,3,5] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[6,1,1,3,5,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,5,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,1,3,1,3,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,1,3,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,3,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,3,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,3,5,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,1,3,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,1,5,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,5,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,5,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,3,1,1,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,1,1,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,1,3,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,1,3,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,5,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,1,5,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,3,3,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,3,3,1,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,3,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,5,1,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,5,3,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,5,1,1,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,5,1,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,5,1,3,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,5,3,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,3,1,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,5,3,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,4,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,1,4,3,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,3,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,4,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,3,1,4,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,4,1,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,4,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,1,3,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,4,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,4,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,3,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,3,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,4,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,4,4,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,4,1,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,4,4,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,4,4,4,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,4,1,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,4,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,1,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,4,1,1,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,4,4,1,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,4,4,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,1,1,3,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,4,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,3,1,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,4,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,3,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,4,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,4,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,4,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,4,4,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,3,1,1,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,4,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,4,1,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,4,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,4,4,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,4,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,1,1,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,1,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,4,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,4,1,1,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,4,4,1,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,3,1,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,1,3,4,4,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,4,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,3,5,4,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,3,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,4,3,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,4,5,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,5,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,5,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,5,4,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,4,4,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,1,4,4,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,4,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,4,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,4,4,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,5,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,1,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,5,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,1,3,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,1,3,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,4,3,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,1,4,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,1,5,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,5,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,1,4,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,4,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,3,5,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,3,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,4,1,3,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,4,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,5,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,5,1,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,5,1,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,4,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,1,4,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,1,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,4,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,4,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,3,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,4,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,4,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,4,4,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,4,1,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,4,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,4,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,4,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,4,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,1,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,4,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,1,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,4,1,1,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,4,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,1,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,1,5,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,4,1,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,4,4,1,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,4,5,1,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,4,5,1,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,5,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,4,1,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,5,1,1,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,5,1,4,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,1,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,4,1,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,5,4,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,3,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,3,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,4,3,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,5,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,5,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,3,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,4,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,3,4,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,5,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,5,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,4,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,3,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,4,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,5,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,5,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,3,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,4,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,1,1,4,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,1,4,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,5,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,5,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,1,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,4,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,4,5,1,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,3,5,1,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,5,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,5,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,1,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,1,1,5,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,1,3,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,3,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,5,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,3,1,1,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,1,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,5,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,5,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,4,5,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,5,3,1,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,5,1,1,3,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,5,1,1,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,1,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,1,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,1,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,3,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,3,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,3,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,4,1,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,5,4,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,1,4,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,4,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,3,1,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,4,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,3,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,4,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,4,4,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,4,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,3,1,4,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,4,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,4,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,4,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,4,1,1,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,1,4,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,1,1,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,4,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,4,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,4,4,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,4,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,6,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,4,3,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,4,3,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,1,4,4,6,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,4,6,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,6,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,1,6,4,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,4,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,1,4,4,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,1,4,6,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,1,6,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,4,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,1,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,4,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,4,6,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,4,6,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,4,6,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,6,4,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,1,3,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,3,6,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,1,4,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,1,4,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,1,6,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,6,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,1,4,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,6,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,3,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,4,1,3,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,3,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,6,1,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,4,4,6,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,6,1,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,6,1,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,6,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,6,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,1,3,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,1,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,1,4,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,1,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,3,4,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,4,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,4,3,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,1,1,4,4,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,1,4,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,6,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[3,1,4,1,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,1,6,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,4,4,1,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,4,4,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,6,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,6,1,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,6,4,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,4,4,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,4,1,1,4,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,1,1,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,1,4,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,4,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,4,1,1,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,4,4,1,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,6,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,4,6,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,6,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,6,1,4,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,1,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,4,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,4,1,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,4,4,1,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,1,3,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,6,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,4,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,4,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,1,6,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,3,1,4,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,4,1,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,3,4,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,1,3,6,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,4,1,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,4,3,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,3,6,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,4,6,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,1,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,6,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,6,3,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,6,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,6,4,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,1,4,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,1,4,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,3,4,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,4,1,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,6,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,6,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,6,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,4,1,1,3,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,1,6,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,1,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,6,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,3,1,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,3,1,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,3,6,1,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,6,1,1,3] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,4,6,1,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,6,3,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,6,1,1,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,6,1,1,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,3,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,6,3,1,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,3,4,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,6,4,1,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,4,1,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,6,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,4,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,1,1,4,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,4,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,3,1,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,3,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,4,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,1,4,1,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,4,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,4,4,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,1,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,4,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,3,1,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,3,4,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,4,1,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,4,4,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,4,1,1,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,1,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,3,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,4,1,3,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,4,1,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,4,3,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,3,1,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,3,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,4,1,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,4,4,1,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,4,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,1,3,5,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,5,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,4,3,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,4,5,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,5,5,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,1,5,3,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,3,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,4,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,5,3,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,1,5,5,4,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,1,4,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,1,5,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,1,5,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,1,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,5,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,5,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,5,1,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,5,5,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,1,3,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,1,5,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,1,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,3,5,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,3,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,1,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,5,1,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,3,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,5,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,5,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,5,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,1,3,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,1,3,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,4,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,5,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,5,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,3,4,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,3,4,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,5,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,5,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,4,1,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,4,3,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,4,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,5,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,5,1,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,5,1,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,5,4,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,5,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,1,4,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,1,5,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,5,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,4,1,5,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,5,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,5,1,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,4,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,5,4,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,5,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,5,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,1,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,4,1,5,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,1,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,5,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,4,5,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,5,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,1,1,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,1,5,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,1,4,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,1,5,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,5,1,5,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,1,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,4,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,5,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,5,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,5,5,1,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,5,4,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,1,1,3,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,1,5,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,5,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,3,1,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,3,5,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,3,5,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,5,1,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,5,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,5,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,5,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,5,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,1,1,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,1,5,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,5,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,5,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,5,1,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,5,1,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,5,1,1,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,1,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,1,3,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,1,5,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,5,1,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,3,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,3,5,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,5,1,1,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,5,5,1,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,5,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,1,3,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,1,1,3,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,4,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,5,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,1,5,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,1,4,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,1,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,5,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,3,5,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,4,1,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,5,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,5,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,1,5,1,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,5,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,5,3,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,1,1,4,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,4,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,4,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,4,1,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,3,4,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,3,5,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,5,1,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,3,5,4,1,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,1,1,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,1,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,3,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,5,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,3,1,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,5,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,5,1,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,5,1,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,5,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,5,1,1,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,1,4,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,3,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,3,1,1,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,5,3,1,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,3,4,1,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,4,1,1,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,4,1,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,4,3,1,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,1,3,4,5,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,1,3,4,6,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,3,5,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,3,5,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,3,6,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,3,6,5,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,5,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,4,3,6,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,4,5,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,4,5,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,6,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,4,6,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,5,3,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,1,5,4,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,5,4,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,1,5,6,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,1,5,6,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,3,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,1,6,3,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,1,6,4,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,4,5,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,1,6,5,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,1,6,5,4,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,1,4,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,1,4,6,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,5,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,1,5,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,1,6,4,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,1,6,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,5,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,1,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,5,6,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,4,6,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,4,6,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,1,4,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,5,1,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,5,6,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,1,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,6,4,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,5,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,6,5,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,1,3,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,3,6,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,1,5,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,1,5,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,1,6,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,1,6,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,1,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,1,6,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,5,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,3,5,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,6,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,3,6,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,5,1,3,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,5,1,6,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,5,3,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,5,6,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,5,6,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,6,1,3,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,4,6,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,6,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,6,3,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,6,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,6,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,1,3,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,3,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,1,4,3,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,1,4,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,1,6,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,1,6,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,1,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,1,6,4] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[1,5,3,4,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,6,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,4,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,1,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,4,3,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,4,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,4,6,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,1,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,6,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,3,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,6,4,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,4,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,3,4,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,1,3,5,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,6,1,4,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,1,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,1,5,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,1,5,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,1,4,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,1,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,3,4,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,3,4,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,5,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,5,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,4,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,4,1,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,6,4,3,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,5,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,5,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,6,5,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,5,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,5,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,5,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,5,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,6,5,4,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,1,4,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,1,4,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,1,5,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,1,6,4,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,1,6,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,4,1,5,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,1,6,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,5,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,5,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,1,6,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,5,4,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,4,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,6,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,6,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,4,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,6,4,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,5,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,1,1,5,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,1,1,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,1,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,5,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,6,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,6,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,5,1,1,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,4,5,1,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,6,1,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,4,6,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,6,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,6,5,1,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,1,1,4,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,1,1,6,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,4,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,6,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,1,6,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,1,6,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,1,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,4,1,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,4,6,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,5,6,1,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,6,1,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,6,4,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,1,1,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,1,5,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,6,1,4,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,1,4,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,1,5,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,1,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,4,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,4,1,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,4,5,1,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,5,1,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,6,5,1,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,5,4,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,5,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,1,3,6,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,1,5,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,1,5,6,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,1,6,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,1,6,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,1,5,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,1,6,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,5,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,6,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,6,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,5,1,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,1,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,1,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,1,5,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,6,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,5,6,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,6,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,6,1,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,6,3,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,6,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,1,5,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,1,6,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,1,5,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,5,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,5,1,1,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,5,1,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,6,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,6,1,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,6,1,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,6,5,1,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,1,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,1,1,6,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,3,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,1,3,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,1,6,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,1,6,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,1,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,5,3,1,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,3,6,1,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,6,1,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,5,6,1,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,6,3,1,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,1,1,3,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[4,6,1,1,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,3,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,5,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,6,1,5,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,5,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,6,3,1,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,6,3,1,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,3,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,6,5,1,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,6,5,1,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,5,3,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,1,3,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,1,3,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,1,4,3,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,1,4,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,1,6,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,1,6,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,1,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,3,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,3,6,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,3,6,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,1,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,1,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,6,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,1,4,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,6,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,6,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,6,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,6,4,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,3,1,1,4,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,1,6,4] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[5,3,1,4,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,6,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,6,4,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,3,4,1,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,4,1,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,6,1,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,3,6,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,6,1,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,6,4,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,1,3,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,1,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,3,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,3,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,6,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,3,1,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,4,3,1,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,3,6,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,6,1,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,4,6,1,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,4,6,3,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,6,1,1,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,6,1,1,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,6,1,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,1,3,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,6,1,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,1,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,3,1,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,6,3,1,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,3,4,1,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,6,4,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,6,4,1,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,4,3,1,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,1,3,4,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,1,3,5,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,1,4,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,1,4,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,5,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,1,5,4,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,4,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,3,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,5,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,1,3,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,4,1,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,4,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,1,4,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,3,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,4,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,4,5,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,1,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,5,1,4,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,3,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,5,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,1,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,1,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,1,4,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,1,4,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,1,5,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,4,1,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,3,4,1,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,4,5,1,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,5,1,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,5,1,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,5,4,1,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,1,1,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,1,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,4,1,3,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,4,1,3,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,4,3,1,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,3,1,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,3,5,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,5,1,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,4,5,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,5,3,1,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,5,1,1,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,1,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,5,1,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,5,1,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,5,3,1,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,3,1,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,5,3,4,1,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,4,1,1,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,4,1,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,5,4,3,1,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,2,2,2,2] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[2,1,2,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,2,1,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,2,2,1,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,2,2,1] => [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 5

[1,2,2,2,2,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,2,2,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,3,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,3,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,2,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,1,2,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,2,2,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,2,3,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,2,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,3,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,1,2,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,1,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,2,1,3] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,2,3,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,3,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,3,2,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,3,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,3,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,2,1,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,3,2,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,2,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,2,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,2,1,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,2,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,2,2,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,2,2,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,2,2,2,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,4,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,4,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,2,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,2,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,4,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,2,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,2,1,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,4,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,2,1,4] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,2,4,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,4,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,4,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,4,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,4,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,4,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,4,2,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,2,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[4,2,1,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,2,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,2,2,2,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,2,2,2,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,5,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,5,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,5,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,5,2,2,2,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,1,2,2,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,2,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,5,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,2,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,2,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,2,1,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,5,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,2,1,5] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,2,5,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,2,2,5,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,5,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,5,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,5,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,5,1,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,5,2,1,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,2,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,2,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[5,2,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,2,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,2,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,2,6] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,6,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,6,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,6,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,6,2,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,2,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,6,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,2,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,2,1,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,6,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,2,1,6] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,2,6,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,2,2,6,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,6,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,6,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,6,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,6,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,6,2,1,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,2,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,2,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[6,2,1,2,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,2,1,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,2,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,2,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,2,3,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,2,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,2,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,3,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,2,2,2,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,2,2,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,3,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,2,3,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,2,3,3,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,3,2,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,2,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,3,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,3,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,2,1,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,2,3,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,3,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,3,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,2,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,3,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,3,3,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,2,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,3,1,2,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,1,3,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,2,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,2,1,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,2,2,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,2,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,2,3,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,3,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,3,2,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,3,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,2,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,3,2,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,2,1,2,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,2,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,3,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,2,1,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,2,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,2,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,2,2,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,2,3,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,2,3,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,3,2,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,1,2,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,3,2,1,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,2,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,2,2,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,2,2,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,2,4,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,3,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,4,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,3,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,2,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,4,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,4,2,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,4,2,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,2,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,4,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,2,2,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,2,2,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,3,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,3,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,2,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,2,2,4,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,1,2,3,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,3,4,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,2,4,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,4,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,2,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,3,4,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,2,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,2,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,3,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,1,2,3,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,1,2,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,2,1,3,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,4,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,3,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,4,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,4,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,4,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,3,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,2,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,3,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,3,1,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,2,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,2,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,2,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,2,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,4,1,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,4,2,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,4,2,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,1,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,2,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,2,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,2,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,2,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,2,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,3,2,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,2,2,2,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,1,2,2,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,2,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,1,2,2,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,2,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,2,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,2,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,2,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,2,2,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,4,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,4,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,4,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,4,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,2,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,2,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,1,2,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,2,2,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,3,2,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,2,1,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,2,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,2,2,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,2,2,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,2,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,3,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,3,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,3,2,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,3,2,1,2,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,3,2,2,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,2,2,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,2,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,2,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,3,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,5,2,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,5,2,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,5,3,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,2,2,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,2,2,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,5,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,5,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,5,2,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,2,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,3,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,3,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,2,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,3,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,3,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,2,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,2,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,5,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,2,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,2,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,3,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,2,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,2,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,3,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,1,5,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,5,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,5,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,3,1,2,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,3,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,3,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,5,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,2,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,2,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,2,2,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,2,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,2,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,2,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,5,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,5,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,1,2,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,1,2,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,3,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,2,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,2,2,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,2,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,3,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,5,3,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,2,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,1,2,2,5,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,5,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,2,2,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,2,2,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,2,2,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,2,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,5,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,5,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,5,2,1,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,2,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,2,2,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,1,2,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,2,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,2,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,2,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,2,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,3,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,3,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,3,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,3,2,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,2,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,2,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,2,3,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,2,6,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,3,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,3,6,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,6,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,3,2,2,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,6,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,6,2,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,6,2,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,6,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,2,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,2,2,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,6,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,6,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,6,2,2,2,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,6,2,2,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,2,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,3,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,3,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,2,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,2,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,6,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,2,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,2,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,2,3,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,3,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,6,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,3,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,3,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,6,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,6,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,3,1,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,6,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,6,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,3,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,1,2,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,6,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,2,1,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,2,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,2,1,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,3,2,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,2,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,6,2,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,6,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,1,2,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,2,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,2,2,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,2,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,2,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,3,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,3,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,2,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,2,2,2,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,1,2,2,6,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,2,6,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,6,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,2,2,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,2,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,2,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,2,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,2,2,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,2,2,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,6,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,2,6,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,6,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,6,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,1,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,6,2,1,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,6,2,2,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,2,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,2,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,2,2,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,3,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,2,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,2,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,1,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,2,2,1,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,2,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,2,2,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,3,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,2,3,1,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,2,3,2,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,3,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,2,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,2,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,4,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,4,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,4,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,2,4,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,4,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,2,2,2,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,2,2,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,2,4,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[2,1,2,2,4,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,4,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,4,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,2,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,4,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,4,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,2,4,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,4,4,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,4,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,4,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,2,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,2,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,4,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,4,4,2,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,2,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,2,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,4,2,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,2,1,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,2,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,2,2,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,4,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,4,2,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,4,2,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,2,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,2,2,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,2,2,4,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,2,5,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,4,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,2,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,5,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,5,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,2,2,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,5,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,5,2,2,2,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,2,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,4,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,4,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,2,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,2,5,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,1,2,4,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,4,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,5,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,2,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,5,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,2,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,4,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,2,1,2,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,2,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,4,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,4,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,4,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,5,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,4,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,4,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,5,1,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,2,5,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,4,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,4,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,4,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,1,2,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,2,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,2,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,2,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,1,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,5,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,1,2,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,1,2,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,2,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,2,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,5,2,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,5,2,4,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,4,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,2,5,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,5,2,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,2,1,2,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,2,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,2,2,2,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,2,2,5,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,5,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,5,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,1,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,5,2,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,5,2,2,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,5,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,4,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,2,1,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,1,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,2,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,2,4,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,2,2,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,4,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,4,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,2,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,4,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,2,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,2,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,2,4,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,2,6,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,4,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,4,2,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,6,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,6,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,6,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,2,6] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,2,2,6,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,6,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,6,2,2,2,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,6,2,2,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,4,2,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,1,2,2,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,2,6,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,2,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,6,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,2,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,6,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,2,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,4,2,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,2,1,2,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,2,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,4,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,2,1,4,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,6,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,2,4,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,4,6,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,2,6,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,6,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,4,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,1,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,2,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,6,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,4,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,2,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,6,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,2,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,6,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,2,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,2,2,6,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,6,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,2,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,6,1,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,4,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,6,1,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,2,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,2,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,2,2,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,6,2,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,4,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,2,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,2,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,2,2,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,6,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,6,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,2,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,2,2,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,2,2,2,6,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,6,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,6,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,6,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,1,2,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,6,2,1,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,6,2,2,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,2,2,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,2,2,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,4,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,2,1,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,4,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,2,2,1,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,2,1,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,2,1,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[6,2,2,2,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,4,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,2,4,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,4,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,2,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,4,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,4,2,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,2,2,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,2,2,2,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,2,5,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,5,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,5,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,5,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,2,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,5,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,5,2,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,2,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,5,2,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,5,2,2,2] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,1,2,2,5,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,5,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,5,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,2,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,5,5,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,2,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,5,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,1,5,5] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,2,5,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,5,5,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[2,2,5,1,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,5,2,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,5,2,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,5,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,5,5,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,5,1,2,2,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,1,2,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,5,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,2,1,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,2,2,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,5,2,2,5,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,2,5,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,2,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,5,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,5,5,2,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,1,2,2,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,5,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,1,2,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,5,2,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,2,2,1,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,2,2,2,1,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,2,2,2,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,2,2,5,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,2,5,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,5,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,5,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,5,1,2,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[5,5,2,1,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,5,2,2,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,5,2,2,2,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,2,2,5,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,2,6,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,2,5,2,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,6,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,6,2,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,2,6,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,2,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,5,2,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,6,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,6,2,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,6,2,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,6,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,2,2,2,6] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,5,2,2,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,2,6,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,5,6,2,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,6,2,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,6,2,2,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,5,2,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,2,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,2,2,6,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,1,2,5,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,2,2,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,5,2,6,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,5,6,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,2,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,6,5,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,2,1,2,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,2,6,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,2,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,1,5,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,2,1,5,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,1,6,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,5,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,5,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,2,6,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,2,6,5,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,5,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,2,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,6,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,6,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,6,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,2,5,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,6,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,5,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,1,2,2,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,1,2,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,2,1,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,1,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,2,2,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,2,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,2,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,6,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,6,1,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,6,2,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,6,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,6,2,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,2,1,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,2,2,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,6,2,2,5,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,2,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,2,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,5,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,5,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,5,2,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,2,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,6,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,2,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,6,2,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,2,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,2,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,6,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,1,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,2,1,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,2,2,2,6,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,2,2,6,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,6,1,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,6,1,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,6,2,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,6,2,2,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,6,2,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,2,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,1,2,2,5,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,2,5,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,5,2,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,2,1,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,1,2,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,2,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,2,2,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,2,2,5,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[6,2,2,5,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,2,2,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,5,1,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,2,5,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,1,2,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,5,2,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,2,2,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,2,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,3,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,3,2,3,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,3,3,2,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,3,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,2,2,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,2,3,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,2,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,2,2,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,2,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,3,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,3,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,3,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,3,1,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,3,3,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,3,1,2,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,1,3,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,3,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,2,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,3,1,2,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,3,3,1,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,2,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,3,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,3,3,3,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,2,3,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,3,2,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,3,2,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,3,2,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[3,2,1,2,3,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,3,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,3,3,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,2,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,2,3,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,2,3,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,3,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,3,2,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,3,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,3,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,3,3,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,3,1,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,1,2,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,2,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,2,1,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,2,2,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,2,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,2,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,3,1,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,3,2,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,2,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,2,3,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,3,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,4,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,3,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,2,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,3,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,4,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,4,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,4,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,4,3,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,3,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,2,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,3,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,3,2,2,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,3,2,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,4,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,2,3,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,3,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,2,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,2,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,3,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,2,3,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,2,3,4,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,2,4,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,3,2,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,2,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,3,3,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,3,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,4,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,4,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,4,2,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,3,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,4,3,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,1,3,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,3,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,4,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,3,1,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,3,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,3,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,3,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,4,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,3,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,3,1,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,3,1,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,3,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,3,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,4,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,1,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,2,1,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,2,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,3,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,4,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,3,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,3,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,4,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,3,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,4,1,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,3,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,4,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,4,3,2,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,4,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,1,3,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,2,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,2,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,3,2,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,4,3,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,3,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,2,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,2,2,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,3,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,3,4,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,2,4,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,2,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,3,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,2,3,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,2,1,2,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,3,2,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,3,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,3,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,2,2,1,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,3,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,4,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,2,4,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,3,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,3,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,3,4,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,3,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,4,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,3,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,4,3,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,3,1,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,2,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,2,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,2,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,4,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,4,2,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,2,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,4,1,2,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,1,2,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,2,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,2,3,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,4,2,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,3,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,3,2,1,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,4,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,1,2,3,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,1,2,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,3,2,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,2,1,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,3,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,2,3,1,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,2,3,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,3,2,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,3,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,1,3,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,3,2,1,3,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,2,2,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,2,2,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,3,2,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,3,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,3,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,3,3,2,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,3,2,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,3,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,3,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,3,2,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,3,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,5,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,5,3,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,5,3,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,2,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,2,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,3,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,3,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,5,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,3,2,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,2,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,5,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,5,2,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,5,2,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,2,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,2,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,3,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,3,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,5,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,2,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,3,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,2,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,3,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,1,3,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,3,1,3,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,3,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,3,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,3,5,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,5,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,5,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,3,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,2,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,1,2,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,3,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,3,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,5,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,3,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,3,1,5,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,3,2,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,3,5,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,5,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,5,1,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,5,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,5,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,5,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,1,2,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,1,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,2,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,3,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,3,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,5,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,2,3,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,5,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,3,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,5,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,2,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,3,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,2,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,3,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,2,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,3,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,5,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,3,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,2,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,3,2,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,3,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,5,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,5,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,5,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,3,1,2,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,2,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,2,2,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,2,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,5,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,5,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,1,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,1,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,2,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,2,2,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,5,2,2,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,2,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,3,1,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,3,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,3,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,2,3,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,2,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,3,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,3,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,2,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,3,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,3,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,3,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,2,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,2,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,3,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,2,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,2,2,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,3,1,2,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,3,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,2,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,2,1,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,2,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,3,2,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,2,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,3,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,3,3,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,3,3,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,3,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,2,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,2,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,3,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,3,6,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,6,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,3,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,6,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,6,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,2,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,3,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,3,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,6,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,3,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,2,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,6,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,6,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,6,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,6,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,2,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,6,2,3,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,3,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,2,2,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,3,3,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,3,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,6,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,2,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,2,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,3,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,2,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,3,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,3,3,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,3,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,3,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,3,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,3,3,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,6,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,3,6,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,6,3,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,2,3,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,1,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,3,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,3,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,6,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,2,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,6,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,3,1,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,3,1,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,2,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,6,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,6,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,6,1,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,6,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,6,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,2,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,6,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,3,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,6,1,3,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,6,2,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,3,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,3,1,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,3,3,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,2,2,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,3,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,6,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,2,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,3,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,6,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,6,2,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,6,2,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,2,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,3,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,3,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,2,3,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,2,6,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,3,1,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,1,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,2,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,3,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,3,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,6,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,6,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,6,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,6,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,3,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,3,1,2,2,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,3,1,2,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,2,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,2,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,2,2,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,2,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,6,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,6,1,2,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,1,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,2,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,2,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,2,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,2,2,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,2,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,3,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,3,2,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,3,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,2,3,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,3,2,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,3,2,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,3,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,2,1,2,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,1,3,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,1,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,2,2,3,1,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,2,3,3,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,2,3,1,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,2,3,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,3,2,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,3,3,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,3,1,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,1,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,3,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,2,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,3,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,3,2,2,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,2,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,2,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,2,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,3,3,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,3,3,2,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,3,3,2,2,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,3,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,4,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,4,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,3,2,4,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,4,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,4,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,4,2,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,4,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,3,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,4,3,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,4,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,2,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,2,4,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,2,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,4,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,4,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,4,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,2,2,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,3,4,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,2,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,2,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,4,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,4,2,2,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,2,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,2,3,4,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,1,2,4,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,4,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,3,2,4,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,3,4,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,4,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,4,2,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,3,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,4,3,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,4,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,3,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,2,1,3,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,4,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,4,4,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,3,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,3,4,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,4,1,3,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,4,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,2,4,4,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,1,2,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,4,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,4,1,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,4,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,4,1,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,3,4,4,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,4,1,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,3,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,1,3,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,1,4,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,3,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,2,4,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,3,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,2,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,3,2,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,3,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,4,1,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,4,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,2,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,3,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,3,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,2,2,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,4,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,4,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,4,4,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,2,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,4,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,2,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,2,4,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,2,4,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,4,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,4,4,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,4,1,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,1,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,2,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,4,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,4,4,2,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,4,2,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,2,2,3,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,2,2,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,3,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,3,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,4,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,3,2,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,4,2,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,4,2,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,3,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,1,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,2,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,4,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,3,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,3,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,2,4,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,3,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,3,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,3,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,4,1,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,3,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,4,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,4,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,4,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,1,2,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,2,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,2,2,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,3,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,4,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,4,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,1,2,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,3,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,2,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,2,3,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,2,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,2,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,3,2,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,2,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,2,3,4,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,2,3,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,4,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,2,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,2,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,4,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,5,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,2,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,4,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,3,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,5,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,4,5,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,5,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,3,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,4,3,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,2,2,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,2,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,5,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,2,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,5,2,2,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,5,2,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,4,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,2,2,3,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,2,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,2,3,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,3,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,5,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,5,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,2,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,3,2,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,3,5,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,5,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,3,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,2,3,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,2,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,4,2,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,4,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,3,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,2,3,4,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,1,2,3,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,2,4,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,4,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,5,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,3,2,4,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,3,2,5,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,4,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,4,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,5,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,5,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,4,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,2,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,3,2,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,4,3,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,5,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,2,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,3,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,3,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,2,1,3,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,4,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,4,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,3,1,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,4,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,4,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,3,5,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,3,5,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,4,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,5,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,5,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,3,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,5,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,4,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,4,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,1,2,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,1,4,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,1,5,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,2,1,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,2,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,4,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,2,5,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,3,2,5,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,4,1,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,4,1,5,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,4,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,4,5,1,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,3,4,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,5,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,5,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,2,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,5,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,5,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,2,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,3,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,5,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,4,1,5,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,1,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,1,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,2,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,3,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,5,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,4,3,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,1,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,2,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,3,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,3,5,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,5,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,5,1,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,5,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,5,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,1,2,3,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,5,1,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,3,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,2,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,1,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,2,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,3,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,2,4,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,4,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,5,3,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,3,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,4,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,4,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,3,2,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[3,1,2,2,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,2,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,4,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,2,4,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,5,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,2,2,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,4,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,5,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,5,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,2,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,5,4,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,2,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,2,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,4,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,5,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,2,4,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,5,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,4,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,4,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,5,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,1,4,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,5,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,5,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,5,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,2,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,2,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,2,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,2,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,5,1,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,5,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,4,5,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,5,1,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,1,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,2,1,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,2,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,2,2,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,2,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,2,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,4,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,5,4,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,2,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,3,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,5,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,2,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,2,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,2,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,5,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,5,2,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,5,2,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,3,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,2,1,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,1,5,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,3,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,3,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,5,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,5,3,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,2,3,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,3,1,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,3,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,3,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,3,5,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,5,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,5,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,1,2,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,1,2,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,5,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,3,2,2,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,2,2,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,2,5,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,5,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,5,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,5,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,2,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,5,1,2,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,1,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,2,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,2,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,2,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,2,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,3,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,5,3,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,3,2,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,2,2,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,3,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,4,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,4,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,2,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,2,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,4,2,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,4,2,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,1,2,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,3,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,2,1,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,3,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,3,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,2,4,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,2,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,3,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,2,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,3,4,1,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,2,3,4,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,1,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,4,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,4,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,4,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,1,2,2,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,1,2,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,2,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,2,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,2,2,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,4,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,4,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,1,2,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,2,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,1,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,2,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,2,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,2,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,3,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,3,2,1,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,4,3,2,2,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,2,3,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,3,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,4,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,4,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,2,6,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,4,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,2,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,4,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,6,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,2,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,2,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,3,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,3,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,6,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,2,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,6,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,3,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,4,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,6,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,2,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,2,2,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,4,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,4,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,2,6,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,6,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,2,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,6,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,6,2,2,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,6,2,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,3,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,2,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,3,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,3,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,6,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,3,2,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,3,6,2,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,4,6,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,6,2,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,6,3,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,6,2,2,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,2,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,3,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,2,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,2,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,4,2,2,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,6,4,2,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,3,4,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,2,3,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,4,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,2,4,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,3,2,4,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,3,2,6,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,6,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,3,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,4,3,6,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,4,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,2,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,4,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,6,4,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,2,1,3,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,4,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,1,4,6,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,1,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,1,6,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,3,4,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,4,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,6,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,6,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,3,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,3,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,3,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,4,6,1,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[2,2,4,6,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,1,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,3,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,3,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,6,4,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,2,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,4,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,6,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,4,2] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,3,2,1,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,6,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,2,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,4,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,3,2,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,6,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,4,1,2,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,4,1,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,6,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,4,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,6,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,2,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,6,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,2,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,2,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,1,3,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,3,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,6,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,1,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,2,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,2,6,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,2,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,2,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,3,2,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,3,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,6,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,6,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,4,6,1,3,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,4,6,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,1,2,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,3,2,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,6,1,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,2,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,3,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,2,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,3,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,1,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,2,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,3,4,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,6,3,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,4,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,4,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,2,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,6,4,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,2,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,2,6,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,2,4,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,2,4,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,6,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,4,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,4,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,6,2,2,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,1,6,2,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,4,2,2] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,2,1,2,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,2,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,4,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,2,2,1,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,6,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,2,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,6,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,1,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,2,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,6,1,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,4,6,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,6,1,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,6,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,6,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,6,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,2,2,6] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,4,1,2,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,6,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,4,2,1,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,2,2,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,4,2,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,2,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,6,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,6,2,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,6,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,6,1,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,2,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,2,1,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,6,2,2,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,6,4,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,3,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,6,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,2,3,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,3,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,2,6,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,6,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,3,2,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,3,2,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,6,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,6,2,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,6,2,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,3,2,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,2,1,2,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,2,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,3,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,6,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,2,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,6,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,2,3,1,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,2,2,3,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,6,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,3,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,3,1,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,3,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,6,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,6,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,6,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,6,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,6,3,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,6,3,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,2,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,3,1,2,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,3,2,1,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,2,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,2,2,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,3,2,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,6,1,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,6,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,6,2,2,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,6,1,2,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,6,1,2,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,1,3,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,6,2,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,2,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,2,2,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,6,2,2,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,2,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,2,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,3,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,6,3,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,3,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,2,2,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,2,2,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,2,3,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,4,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,2,4,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,3,2,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,3,2,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,4,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,4,2,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,1,4,2,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,1,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,4,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,2,2,1,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,2,1,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,2,3,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,3,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,4,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,2,4,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,3,1,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,3,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,4,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,3,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,4,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,3,1,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,2,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,2,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,2,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,2,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,2,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,4,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,4,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,4,2,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,4,1,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,4,1,3,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,4,2,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,2,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,2,2,3,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,4,2,3,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,4,2,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,3,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,3,2,1,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,4,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,3,5,5] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,5,3,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,5,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,3,2,5,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,3,5,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,5,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,5,2,3,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,5,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,5,5,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,2,2,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,2,5,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,5,2,2,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,5,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,5,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,2,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,3,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,5,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,3,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,2,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,2,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,5,2,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,2,3,5,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,2,5,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,2,5,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,3,2,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,2,3,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,2,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,3,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,5,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,5,5,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,3,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,1,5,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,5,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,3,1,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,3,5,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,5,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,5,1,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,5,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,3,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,5,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,5,5,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,2,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,5,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,2,1,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,2,5,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,5,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,5,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,5,1,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,5,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,5,5,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,1,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,2,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,3,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,3,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,3,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,2,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,3,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,3,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,3,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,5,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,5,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,2,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,5,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,2,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,5,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,5,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,5,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,2,5,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,5,5,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,1,2,5,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,5,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,2,1,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,2,5,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,2,5,1,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,5,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,5,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,5,5,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,5,1,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,1,2,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,5,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,5,2,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,2,2,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,2,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,5,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,5,5,2,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,5,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,2,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,5,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,2,5,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,2,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,5,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,5,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,5,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,3,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,1,2,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,2,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,3,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,3,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,1,5,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,1,5,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,2,1,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,1,5,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,2,3,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,2,3,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,5,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,2,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,3,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,1,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,3,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,5,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,5,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,5,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,5,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,5,3,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,3,1,2,2,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,5,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,2,1,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,2,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,2,2,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,3,2,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,2,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,5,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,3,5,2,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,5,1,2,2,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,2,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,3,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[5,5,2,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,2,1,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,2,2,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,5,2,2,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,2,3,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,2,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,3,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,5,3,2,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,3,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,3,5,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,3,6,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,6,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,3,2,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,2,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,2,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,2,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,2,3,6,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,3,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,2,6,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,2,5,3,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,3,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,5,6,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,5,6,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,2,3,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,6,5,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,5,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,2,5,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,2,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,2,5,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,5,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,6,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,2,6,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,5,2,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,5,2,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,6,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,6,2,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,6,2,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,6,5,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,2,3,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,6,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,5,2,3,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,3,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,6,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,6,3,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,3,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,2,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,3,6,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,2,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,6,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,6,2,2,3,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,2,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,6,2,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,3,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,5,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,3,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,2,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,5,2,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,5,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,3,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,3,5,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,2,3,6,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,2,5,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,5,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,3,2,5,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,3,2,6,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,3,5,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,3,5,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,6,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,6,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,2,3,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,2,6,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,1,5,3,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,3,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,6,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,2,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,5,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,5,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,2,1,3,5,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,3,6,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,5,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,6,3,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,1,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,3,1,6,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,3,5,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,5,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,3,6,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,3,6,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,1,3,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,3,1,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,5,3,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,5,6,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,5,6,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,3,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,2,6,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,3,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,6,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,5,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,1,2,5,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,1,2,6,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,5,2,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,3,1,5,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,6,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,2,1,5,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,2,1,6,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,2,5,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,2,5,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,2,6,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,2,6,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,3,5,1,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,2,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,5,6,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,5,6,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,6,1,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,2,5,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,3,6,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,6,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,1,2,3,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,5,1,2,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,6,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,6,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,2,6,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,2,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,3,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,6,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,5,3,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,3,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,3,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,6,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,6,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,6,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,6,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,6,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,6,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,2,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,1,2,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,5,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,6,1,5,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,1,5,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,2,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,1,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,2,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,2,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,5,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,2,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,6,3,2,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,6,3,2,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,5,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,5,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,5,1,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,5,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,5,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,5,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,5,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,2,5,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,2,2,6,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,2,5,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,2,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,5,2,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,5,6,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,1,6,2,2,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,1,6,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,5,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,1,2,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,2,6,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,2,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,2,1,5,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,2,1,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,1,6,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,2,5,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,2,5,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,2,2,6,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,2,6,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,5,1,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,1,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,2,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,2,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,5,6,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,6,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,6,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,6,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,6,5,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,1,2,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,5,1,2,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,6,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,2,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,2,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,2,6,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,2,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,1,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,6,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,2,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,6,1,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,1,2,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,6,1,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,2,1,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,2,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,2,1,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,6,2,2,5,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,6,2,5,1,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,6,2,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,5,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,6,5,2,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,5,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,2,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,1,2,2,6,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,3,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,3,6,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,2,6,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,2,6,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,2,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,6,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,6,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,6,2,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,3,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,2,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,2,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,1,3,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,1,3,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,6,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,6,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,2,1,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,3,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,6,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,2,6,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,3,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,1,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,2,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,2,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,3,6,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,6,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,6,1,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,6,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,6,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,6,3,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,1,2,2,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,1,2,6,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,6,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,3,2,1,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,2,2,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,2,2,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,2,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,6,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,3,6,2,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,6,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,6,1,2,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,6,1,2,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,1,3,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,6,2,1,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,6,2,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,6,2,2,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,6,2,2,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,2,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,2,3,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,6,3,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,6,3,2,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,6,3,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,2,2,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,2,2,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,2,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,3,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,3,2,2,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,1,3,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,5,2,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,1,5,2,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,5,2,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,5,3,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,2,1,2,3,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,2,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,3,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,1,3,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,5,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,2,1,3,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,2,2,1,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,2,3,1,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,2,3,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,5,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,2,2,5,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,3,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,3,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,2,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,3,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,3,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,5,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,2,5,1,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,5,3,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,3,2,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,5,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,3,2,2,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,2,2,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,3,5,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,5,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,1,2,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,5,1,2,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,1,3,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,5,2,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,2,1,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,2,2,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,2,2,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,5,2,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,5,2,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,5,3,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,3,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,3,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,2,4,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[1,2,4,2,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,4,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,2,2,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,4,2,4,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,2,2,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,2,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,4,2,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,2,4,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,4,2,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,4,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,4,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,1,4,4,4] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,2,4,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,4,4,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,4,4,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,4,1,2,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,1,4,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,4,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,4,1,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,4,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,2,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,4,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,4,2,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,4,4,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,2,1,2,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,4,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,4,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,4,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,4,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,4,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,4,4,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,2,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,4,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,2,1,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,2,4,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,4,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,4,1,2,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[4,4,4,2,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,2,2,1] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[1,2,2,4,4,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,4,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,5,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,4,2,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,4,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,4,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,5,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,5,4,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,2,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,2,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,4,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,5,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,5,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,4,2,2,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,4,4,2,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,5,2,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,5,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,5,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,4,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,2,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,2,4,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,4,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,4,2,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,4,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,4,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,5,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,4,2,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,2,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,4,4,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,4,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,5,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,5,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,2,4,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,4,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,2,1,4,4,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,4,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,4,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,4,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,1,5,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,4,1,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,4,4,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,4,5,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,1,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,5,4,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,5,4,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,4,1,2,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,4,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,4,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,2,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,4,1,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,2,4,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,2,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,4,1,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,1,5,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,4,4,2,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,4,5,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,5,2,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,5,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,4,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,1,2,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,1,4,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,4,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,2,1,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,2,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,2,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,4,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,4,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,4,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,4,4,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,5,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,2,4,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,5,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,5,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,4,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,4,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,5,2,2,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,5,2,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,4,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,2,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,2,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,4,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,5,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,2,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,2,4,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,2,5,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,4,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,4,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,2,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,4,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,4,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,2,5,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,5,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,4,1,2,2,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,1,2,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,5,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,4,2,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,2,1,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,2,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,2,5,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,5,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,5,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,5,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,5,1,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,1,4,2,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,2,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,5,2,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,2,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,4,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,4,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,4,2,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,4,2,2,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,4,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,4,2,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,2,1,2,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,1,4,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,2,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,2,2,4,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[5,2,4,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,4,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,4,4,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,4,4,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,4,1,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,4,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,2,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,2,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,4,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,4,4,2,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,4,4,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,4,4,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,2,4,6,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,6,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,2,4,2,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,2,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,4,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,4,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,6,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,6,4,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,6,2,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,6,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,2,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,6,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,2,4,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,6,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,4,2,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,4,2,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,6,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,4,6,2,2,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,6,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,6,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,2,2,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,6,2,4,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,6,2,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,2,2,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,6,4,2,4,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,6,4,4,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,1,2,4,4,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,4,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,2,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,2,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,4,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,4,4,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,6,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,6,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,2,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,4,2,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,6,4,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,1,4,4,6] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,4,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,4,1,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,4,1,6,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,4,4,1,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,2,4,4,6,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,4,6,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,4,6,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,6,1,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[2,2,6,4,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,1,2,4,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,1,2,6,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,4,2,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,2,1,4,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,2,1,6,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,4,2,4,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,2,4,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,4,2,6,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,2,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,4,1,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,1,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,2,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,2,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,4,6,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,4,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,6,1,2,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,4,6,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,6,2,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,6,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,1,2,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,4,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,2,1,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,2,4,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,2,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,4,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,6,4,1,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,4,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,2,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,4,4,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,4,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,4,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,2,2,6,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,4,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,6,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,2,6,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,4,2,2,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,4,2,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,4,6,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,1,6,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,6,2,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,4,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,1,2,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,2,6,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,2,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,6,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,4,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,2,2,1,4,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,6,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,2,2,4,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,2,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,2,2,6,1,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,6,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,4,1,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,1,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,2,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,4,2,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,4,6,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,4,6,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,6,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,6,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,6,2,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,6,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,4,1,2,2,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,1,2,6,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,1,6,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,2,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,2,2,1,6] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,2,2,6,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,6,1,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,6,2,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,6,2,2,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,6,1,2,2,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,6,1,2,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,6,1,4,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,2,1,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,1,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,2,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,6,2,2,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,6,2,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,4,1,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,6,4,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,2,2,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,1,2,4,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,1,2,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,4,2,2,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,4,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,4,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,2,1,2,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,1,4,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,2,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,2,2,4,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,4,4,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[6,2,4,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,4,1,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,4,2,1,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,4,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,4,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,4,4,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,1,2,2,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,2,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,1,4,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,2,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,2,2,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,4,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,4,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,4,1,2,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[6,4,4,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,4,2,2,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,2,2,4,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,5,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,5,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,2,4,2,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,5,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,2,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,2,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,5,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,5,5,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,2,2,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,4,2,5,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,2,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,2,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,5,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,5,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,5,2,2,4,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,5,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,5,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,2,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,4,2,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,4,2,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,4,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,5,2,2,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,5,5,2,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,4,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,2,4,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,2,5,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,2,5,5,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,4,2,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,5,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,5,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,2,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,2,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,5,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,5,5,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,4,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,1,5,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,5,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,2,4,1,5,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,2,4,5,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,5,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,2,5,1,4,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,1,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,5,4,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,5,5,1,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[2,2,5,5,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,4,1,2,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,5,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,1,5,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,2,1,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,2,5,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,2,5,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,5,1,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,5,1,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,2,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,2,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,5,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,5,5,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,1,2,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,2,5,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,2,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,4,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,5,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,2,4,1,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,5,2,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,5,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,2,5,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,4,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,4,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,2,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,4,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,4,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,5,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,1,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,5,2,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,5,2,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,5,4,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,1,2,2,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,1,2,5,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,5,5,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,5,2,2,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,5,2,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,5,2,2] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[4,2,1,2,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,5,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,1,5,5] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,2,2,5,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,2,5,5,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,2,5,1,2,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,5,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,5,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,5,5,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,5,5,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,1,2,2,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,5,1,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,1,5,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,2,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,2,2,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,5,2,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,2,5,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,5,5,1,2,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,5,5,2,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,5,5,2,2,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,1,2,2,4,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,2,2,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,4,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,5,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,5,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,2,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,1,4,2,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,5,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,5,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,5,2,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,4,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,1,2,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,2,5,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,4,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,5,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,1,5,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,2,1,4,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,2,4,1,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,2,2,4,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,2,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,2,5,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,2,4,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,4,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,2,4,2,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,4,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,4,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,4,5,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,5,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,1,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,5,2,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,5,2,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,5,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,5,4,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,2,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,4,1,2,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,5,2,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,4,2,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,2,2,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,4,2,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,5,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,5,1,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,5,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,5,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,5,1,2,2,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,1,2,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,4,2,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,5,2,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,2,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,5,2,2,4,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[5,5,2,4,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,5,2,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,4,1,2,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,4,2,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,4,2,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,2,4,5,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,2,4,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,2,5,4,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,2,5,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,2,6,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,2,6,5,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,4,2,5,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,2,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,5,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,4,5,6,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,4,6,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,4,6,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,2,4,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,2,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,6,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,6,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,2,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,2,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,4,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,6,4,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,5,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,5,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,2,5,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,2,2,6,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,5,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,5,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,2,6,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,2,6,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,2,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,5,2,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,6,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,6,2,2,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,6,2,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,6,5,2,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,2,4,6] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,2,6,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,5,2,4,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,6,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,6,4,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,4,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,4,2,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,5,4,6,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,6,2,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,6,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,4,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,2,4,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,2,2,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,6,2,4,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,2,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,5,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,5,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,2,2,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,6,4,2,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,5,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,6,5,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,5,2,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,5,4,2,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,2,4,5,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,2,4,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,2,5,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,2,5,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,2,6,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,2,6,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,4,2,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,2,6,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,5,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,4,6,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,4,6,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,2,4,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,2,6,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,5,4,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,4,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,6,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,2,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,2,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,6,4,2,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,1,6,4,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,6,5,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,5,4,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,2,1,4,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,1,4,6,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,4,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,1,5,6,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,1,6,5,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,4,1,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,4,1,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,4,5,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,4,6,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,4,6,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,1,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,5,1,6,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,2,5,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,5,4,6,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,2,5,6,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,2,5,6,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,4,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,1,5,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,2,6,4,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,2,6,4,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,2,6,5,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,2,6,5,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,4,1,2,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,2,6,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,2,6] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,4,1,5,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,6,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,6,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,2,1,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,2,1,6,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,2,5,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,2,5,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,2,6,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,2,6,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,1,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,1,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,2,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,6,1,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,4,5,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,6,1,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,1,5,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,4,6,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,2,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,4,6,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,2,4,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,2,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,6,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,6,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,4,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,5,2,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,2,1,6,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,5,2,4,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,2,6,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,2,6,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,5,4,1,2,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,1,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,4,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,4,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,6,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,6,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,6,1,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,6,1,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,6,2,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,6,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,6,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,6,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,2,4,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,1,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,4,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,5,2,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,6,1,5,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,2,1,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,2,1,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,2,4,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,2,4,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,2,5,1,4] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,6,2,5,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,4,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,6,4,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,6,4,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,4,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,4,5,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,4,5,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,5,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,5,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,5,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,5,2,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,5,4,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,5,4,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,2,5,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,2,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,5,2,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,2,5,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,2,6,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,2,6,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,2,6] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[4,1,5,2,6,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,1,5,6,2,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,1,6,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,6,2,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,6,5,2,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,2,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,2,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,2,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,1,5,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,1,6,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,2,1,5,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,2,1,6,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,2,5,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,2,2,5,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,2,6,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,2,6,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,2,5,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,6,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,2,5,2,1,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,5,2,6,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,6,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,5,6,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,6,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,6,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,6,2,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,6,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,5,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,1,2,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,1,6,2,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,1,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,2,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,5,2,2,6,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,5,2,6,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,2,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,6,1,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,5,6,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,6,2,2,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,6,1,2,2,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,6,1,2,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,5,2,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,6,2,1,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,6,2,1,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,2,2,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,2,2,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,6,2,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,6,2,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,5,1,2,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,5,2,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,6,5,2,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,2,4,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,2,6,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,2,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,2,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,2,6,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,6,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,4,2,2,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,4,2,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,6,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,6,2,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,6,2,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,6,4,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,1,2,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,2,6,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,4,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,4,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,2,1,4,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,2,1,6,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,2,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,2,6,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,2,6,4,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,2,4,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,1,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,2,1,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,4,2,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,4,6,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,4,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,6,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,6,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,2,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,2,6,2,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,6,4,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,6,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,1,2,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,2,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,6,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,1,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,2,2,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,4,2,2,6,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,4,2,6,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,2,6,2,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,6,1,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,4,6,2,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,6,2,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,6,1,2,2,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,6,1,2,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,6,1,4,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,6,2,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,6,2,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,2,2,1,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,6,2,2,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,6,2,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,6,2,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,4,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,6,4,2,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,6,4,2,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,2,2,4,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,1,2,2,5,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,2,4,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,2,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,2,5,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,2,2,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,4,2,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,5,2,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,5,2,2,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[6,1,5,2,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,5,4,2,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,1,2,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,1,2,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,1,4,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,2,1,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,5,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,2,1,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,1,5,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,2,4,1,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,2,2,4,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,2,2,5,1,4] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[6,2,2,5,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,4,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,4,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,2,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,4,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,4,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,5,1,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,1,4,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,2,5,2,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,5,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,4,1,2,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,4,1,2,5,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,5,2,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,4,2,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,2,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,2,2,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,4,2,5,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,5,1,2,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,5,2,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,5,2,2,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,5,1,2,2,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,5,1,2,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,2,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,5,2,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,5,2,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,5,2,2,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,2,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,5,2,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,5,2,4,2,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,5,4,1,2,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,4,2,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,4,2,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,3,3,3] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,3,2,3,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,2,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,3,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,3,2] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,1,3,3,3,3] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[2,3,1,3,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,3,1,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,3,3,1] => [[],[],[[]],[[]]] => [.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4

[3,1,2,3,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,3,2,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,3,3,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,3,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,2,1,3,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,3,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,3,3,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,3,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,1,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,1,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,2,1,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,3,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,3,1,2,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,3,1,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,2,1,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,3,1,2] => [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 4

[3,3,3,3,2,1] => [[],[],[],[[],[]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 4

[1,2,3,3,3,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,3,3,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,4,3,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,4,3,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,2,3,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,3,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,2,4,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,2,3,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,3,2,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,3,2,4] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,3,3,3,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,4,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,4,3,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,4,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,3,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,3,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,3,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,3,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,3,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,3,3,3,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,3,3,4,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,3,4,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,4,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,1,3,3,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,3,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,3,1,3,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,3,1,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,3,4,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,3,3,4,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,3,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,4,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,4,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,1,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,4,3,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,3,3,3,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,1,2,3,3,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,1,2,3,4,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,2,4,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,3,2,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,2,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,3,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,3,3,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,3,4,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,3,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,4,3,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,3,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,3,3,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,1,3,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,4,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,3,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,3,3,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,3,3,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,3,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,4,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,4,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,3,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,2,3,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,3,1,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,3,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,3,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,2,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,1,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,2,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,3,4,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,4,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,3,1,2,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,1,4,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,1,4] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,4,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,4,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,4,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,4,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,4,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,4,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,3,2,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,4,1,2,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,1,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,2,1,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,2,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,2,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,4,3,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,3,1,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,3,2,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,3,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,3,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,3,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,1,3,2,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,3,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,3,3,3,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,2,1,3,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[4,2,3,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,3,3,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,3,1,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,1,3,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,3,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,3,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,3,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,3,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,3,3,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,3,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,3,2,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,3,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,3,3,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,3,3,3,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,3,3,3,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,3,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,5,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,5,3,3,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[1,3,2,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,3,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,3,2,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,2,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,3,2,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,5,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,3,5,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,5,2,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,5,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,2,3,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,5,3,2,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,3,3,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,3,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,3,3,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,3,3,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,3,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,1,3,3,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,3,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,1,5,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,1,3,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,3,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,3,1,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,3,5,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,5,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,5,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,5,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,5,3,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,5,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,1,3,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,5,3,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,5,3,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,2,5,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,3,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,2,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,3,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,3,3,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,5,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,5,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,3,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,3,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,2,1,3,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,3,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,3,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,3,3,5,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,3,5,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,1,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,5,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,5,3,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,2,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,2,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,3,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,3,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,2,1,5,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,3,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,3,1,2,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,1,5,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,3,2,1,5] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,5,1] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,3,5,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,5,2,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,5,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,5,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,5,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,3,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,5,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,1,3,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,5,3,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,3,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,3,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,3,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,3,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,5,3,3,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,1,3,2,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,3,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,3,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,1,3,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,2,3,1,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,3,3,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,3,3,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[5,3,1,2,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,1,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,3,3,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,3,2,1,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,2,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,3,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,3,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,3,3,3,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,3,3,3,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,3,3,3,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,3,6,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,6,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,6,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,3,2,3,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,3,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,3,2,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,6,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,3,3,2,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,3,3,3,6,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,6,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,6,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,6,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,6,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,6,3,2,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,3,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,3,3,6] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,3,6,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,3,6,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,3,3,3] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,1,3,3,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,3,1,3,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,6,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,3,1,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,3,1,6] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,3,3,6,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,6,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,3,6,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,6,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,6,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,1,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,6,3,1,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,3,3,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,3,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,1,2,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,2,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,2,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,3,2,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,3,3,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,6,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,6,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,6,2,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,6,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,3,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,3,3,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,1,3,6,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,3,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,3,3,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,3,3,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,3,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,6,3,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,3,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,3,1,2,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,3,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,3,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,6,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,6,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,3,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,3,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,3,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,6,3,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,3,1,2,6] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,1,6,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,1,6] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,3,2,6,1] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,6,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,3,6,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,6,1,2,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,6,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,6,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,6,3,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,6,1,2,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,6,1,3,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,2,1,3,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,6,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,3,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,6,3,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,3,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,3,2,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,3,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,3,3,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,6,3,3,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[6,1,3,2,3,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,1,3,3,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,3,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[6,2,1,3,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,2,3,1,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,2,3,3,1,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,3,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[6,3,1,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,3,1,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,3,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,2,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,3,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,3,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,3,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,3,2,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,3,3,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,3,3,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[6,3,3,3,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,3,3,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,3,4,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,4,4,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,4,3,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,4,3,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,4,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,2,3,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,4,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,4,4,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,3,3,2,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,3,4,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,4,2] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,4,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,4,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,4,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,4,4,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,3,3,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,3,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,4,3,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,3,3,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,4,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,4,3,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,4,2,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,4,3,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,3,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,1,3,3,4,4] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,1,3,4,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,4,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,4,3,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,3,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,4,4,3,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,3,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,4,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,4,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,4,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,3,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,4,1,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,4,1,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,4,4,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,1,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,3,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,4,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,3,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,3,3,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,3,4,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,4,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,4,1,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[2,4,4,3,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,3,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,3,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,1,2,4,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,4,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,3,2,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,3,4,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,3,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,4,2,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,3,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,3,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,4,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,4,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,3,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,4,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,4,4,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,3,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,3,4,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,4,4,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,4,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,4,4,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,2,4,4] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,4,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,4,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,1,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,4,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,4,1,2,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,1,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,4,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,3,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,4,1,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,1,3,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,3,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,1,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,3,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,2,3,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,2,4,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,3,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,3,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,3,2,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,3,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,3,4,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,3,4,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,4,1,2,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,4,4,1,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,4,3,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,4,3,2,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,1,2,3,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,3,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,4,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,2,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,3,2,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,3,3,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,3,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,2,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,4,3,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,3,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,3,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,4,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,3,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,3,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,3,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,3,4,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,4,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,2,4,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,3,1,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,1,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,4,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,4,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,2,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,3,4,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,4,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,3,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,3,2,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,3,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,3,4,1,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,3,3,4,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,3,4,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,4,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,4,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,4,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,4,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,3,2,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,4,1,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,1,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,1,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[4,4,2,3,1,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,3,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[4,4,3,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,1,3,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,3,2,1,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,2,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,3,3,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,3,3,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,3,3,4,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,3,5,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,4,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,5,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,5,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,5,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,3,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,4,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,5,3,3,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,5,3,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,4,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,3,4,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,2,3,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,4,3,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,2,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,5,4,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,3,2,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,4,2,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,3,4,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,2,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,3,5,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,4,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,3,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,3,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,4,5,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,2,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,3,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,3,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,2,3,3,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,2,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,5,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,3,2,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,3,3,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,3,3,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,5,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,5,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,5,3,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,3,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,2,3,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,2,3,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,4,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,3,2,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,3,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,3,3,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,4,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,3,4,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,5,4,3,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,4,3,3,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,1,3,3,4,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,5,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,4,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,4,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,5,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,4,3,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,4,3,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,5,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,3,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,3,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,4,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,1,3,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,1,3,5,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,4,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,4,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,5,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,5,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,3,1,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,4,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,3,4,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,3,5,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,3,3,5,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,4,1,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,4,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,5,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,5,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,5,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,5,4,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,3,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,1,3,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,3,1,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,3,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,3,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,3,3,5,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,3,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,3,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,5,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,3,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,1,3,3,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,5,1,3,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,4,3,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,5,3,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,4,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,3,3,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,3,3,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,3,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,1,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,5,4,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,3,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,3,4,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[3,1,2,3,5,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,4,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,4,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,5,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,5,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,2,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,4,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,4,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,2,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,3,5,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,4,2,3,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,2,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,4,3,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,3,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,5,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,5,4,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,1,3,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,3,5,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,4,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,4,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,2,3,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,1,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,3,4,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,3,4,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,3,5,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,5,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,4,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,4,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,2,4,3,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,4,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,1,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,1,4,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,2,5,3,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,5,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,4,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,5,4,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,3,1,2,4,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,2,5,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,4,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,1,4,5,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,4,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,5,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,2,4,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,4,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,1,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,3,2,5,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,1,2,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,4,1,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,3,4,2,1,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,4,5,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,4,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,2,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,2,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,5,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,2,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,1,3,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,3,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,1,5,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,4,1,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,3,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,2,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,3,1,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,3,1,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,3,2,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,3,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,3,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,3,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,5,1,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,4,5,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,5,3,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,4,5,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,1,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,5,1,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,1,3,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,1,3,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,1,4,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,1,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,2,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,3,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,2,4,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,2,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,3,1,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,3,1,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,3,2,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,3,4,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,3,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,4,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,4,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,4,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,4,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,4,3,2,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[4,1,2,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,2,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,3,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,3,3,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,1,3,5,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,3,5,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,5,2,3,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,1,5,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,2,1,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,3,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,1,5,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,3,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,3,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,3,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,3,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,3,5,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,2,5,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,5,3,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,5,3,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,1,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,2,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,3,2,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,1,3,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,5,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,3,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,3,2,1,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,3,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,3,2,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,3,2,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,3,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,5,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,3,5,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,5,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,5,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,5,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,5,3,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,1,2,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,5,1,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,1,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,5,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,2,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,5,3,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,5,3,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,3,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,3,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,5,3,3,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,2,3,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,4,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,1,3,2,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,2,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,3,3,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,3,4,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,4,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,4,2,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,1,4,3,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,1,3,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,2,1,3,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,2,3,1,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,3,1,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,3,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,3,4,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,3,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,1,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,4,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,4,3,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,1,2,3,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,3,1,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,3,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,2,1,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,2,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,2,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,3,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,1,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,3,2,1,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,3,3,4,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,3,4,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,4,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,4,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,2,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,4,3,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,1,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,3,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,1,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,2,1,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,4,2,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,3,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,3,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,3,2,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,4,3,2,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,4,3,3,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,4,3,3,2,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,3,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,3,6,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,4,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,4,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,3,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,2,4,3,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,6,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,6,3,3,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,2,6,3,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,4,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,2,3,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,3,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,4,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,4,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,2,6,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,3,2,4,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,3,2,6,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,4,2,6] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,3,4,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,3,3,6,2,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,6,4,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,4,2,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,2,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,3,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,3,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,6,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,4,6,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,6,2,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,6,4,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,3,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,3,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,6,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,2,3,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,3,2,6,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,3,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,3,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,4,3,6,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,3,6,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,6,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,6,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,3,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,3,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,2,4,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,2,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,3,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,3,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,4,2,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,3,4,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,4,2,3,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,6,4,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,3,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,3,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,1,3,3,6,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,3,4,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,3,4,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,6,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,4,3,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,4,3,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,4,6,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,3,3,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,3,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,4,3,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,3,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,3,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,4,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,1,4,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,6,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,1,6,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,3,1,4,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,6,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,3,3,4,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,3,4,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,3,6,1,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,6,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,4,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,1,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,3,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,4,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,6,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,4,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,6,1,4,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,3,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,6,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,4,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,1,3,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,6,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,3,1,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,3,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,3,6,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,3,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,6,1,3,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[2,4,6,3,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,3,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,6,1,3,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,1,3,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,1,4,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,6,3,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,3,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,3,3,4,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,6,3,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,3,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,4,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,4,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,4,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,3,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,2,4,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,4,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,2,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,3,2,6,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,3,4,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,3,6,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,6,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,4,2,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,4,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,3,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,3,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,4,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,4,6,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,6,2,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,6,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,4,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,1,6,4,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,3,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,3,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,4,3,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,4,6,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,3,1,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,3,4,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,4,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,3,6,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,6,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,1,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,1,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,3,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,4,3,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,6,1,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[3,2,4,6,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,6,3,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,3,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,3,1,2,4,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,2,6,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,4,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,1,6,4,2] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,3,2,1,4,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,6,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,2,4,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,4,6,1] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,3,2,6,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,6,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,4,1,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,4,1,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,2,1,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,4,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,4,6,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,4,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,6,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,6,1,4,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,6,2,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,6,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,6,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,2,3,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,6,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,4,1,3,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,3,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,6,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,1,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,1,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,3,1,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,4,2,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,6,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,3,1,2,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,3,1,6,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,3,2,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,3,2,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,3,6,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,3,6,2,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,6,1,2,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,4,6,1,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,6,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,6,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,6,3,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,6,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,6,1,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,6,1,2,4,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,3,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,1,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,1,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,1,4,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,1,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,6,2,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,3,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,2,4,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,3,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,3,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,3,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,3,2,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,3,4,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,3,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,4,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,4,2,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,4,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,2,6,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,3,2,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,2,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,3,3,2,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,1,3,3,6,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,3,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,6,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,2,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,1,6,3,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,2,1,3,3,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,1,3,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,2,3,1,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,1,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,3,1,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,2,3,3,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,2,3,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,3,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,6,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,2,6,3,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,6,3,3,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,3,1,2,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,2,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,3,2,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,1,3,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,6,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,6,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,3,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,1,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,3,2,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,3,3,2,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,3,3,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,3,3,6,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,6,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,6,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,6,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,6,2,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,6,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,6,3,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,6,1,2,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,6,1,3,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,3,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,6,2,1,3,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,6,2,3,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,6,3,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,3,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,3,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,3,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,3,3,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,6,3,3,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,3,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,2,3,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,4,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,3,2,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,3,2,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,1,3,3,2,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,1,3,3,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,4,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,4,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,4,2,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,4,3,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,3,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,3,3,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,1,3,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,4,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,2,3,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,3,3,1,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,2,3,3,4,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,2,3,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,3,4,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,4,1,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,2,4,3,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,4,3,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,3,1,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,3,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,3,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,4,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,4,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,3,2,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,3,4,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,3,2,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,2,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,3,1,2,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,3,1,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,3,3,2,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,3,3,2,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,3,4,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,3,4,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,4,1,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,3,4,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,4,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,4,2,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,4,3,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,4,1,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[6,4,1,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,3,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,4,2,1,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,4,2,3,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,4,3,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,3,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,3,2,1,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,4,3,2,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,4,3,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,3,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,3,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,2,3,5,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,5,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,5,3,3,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,2,5,3,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,5,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,2,3,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,2,5,3,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,3,2,5,5,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,5,5] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[1,3,3,5,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,5,2,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,5,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,5,5,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,2,3,3,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,3,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,5,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,5,3,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,3,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,3,3,5,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,5,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,3,5,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,5,2,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[1,5,5,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,5,3,3,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,1,3,3,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,3,5,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,5,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,1,5,3,3,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,5,3,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,3,1,3,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,5,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,1,5,5] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,3,5,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,5,5,1] => [[[]],[[]],[[]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3

[2,3,5,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,5,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,5,3,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,3,5,5,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,3,3,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,1,3,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,5,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,3,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,3,1,5,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,5,3,3,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,3,5,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,5,3,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,3,5,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,5,5,1,3,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,5,5,3,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,5,3,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,1,2,3,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,5,3,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,1,2,5,5,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,3,2,5,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,3,5,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,2,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,3,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,5,5,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,1,3,5,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,5,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,5,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,2,3,1,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,3,5,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,5,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,5,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,5,1,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,5,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,5,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,2,5,5,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,3,1,2,5,5] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[3,3,1,5,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,1,5,5,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,1,5,5] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,3,2,5,1,5] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,5,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[3,3,5,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,1,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,5,2,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,2,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,5,5,1,2] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,3,5,5,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,5,1,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,2,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,3,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,5,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,1,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,1,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,2,1,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,3,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,2,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,2,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,2,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,3,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,1,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,3,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,3,5,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,5,1,2,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,5,5,1,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,5,5,2,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,5,5,2,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,5,3,1,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,5,3,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,2,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,2,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,3,2,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,3,2,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,3,3,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,5,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,5,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,3,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,3,3,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,2,1,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,5,3,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,2,3,1,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,3,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,3,1,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,2,3,3,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,1,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,2,5,3,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,3,1,2,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,2,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,3,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,2,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,2,1,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,2,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,2,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,2,5,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,3,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,1,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,3,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,3,3,5,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,3,5,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,3,5,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,5,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,5,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,5,2,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,5,3,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,5,3,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,5,1,2,3,3] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,1,3,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,3,3,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,2,1,3,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[5,5,2,3,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,3,3,1] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[5,5,3,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,5,3,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,3,2,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,3,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,5,3,3,1,2] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[5,5,3,3,2,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[1,2,3,3,5,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,2,3,3,6,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,3,5,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,5,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,3,6,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,3,3,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,3,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,6,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,6,3,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,6,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,5,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,3,2,3,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,3,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,3,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,2,6,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,3,2,5,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,3,2,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,3,5,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,3,5,6,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,3,6,2,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,3,3,6,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,3,5,2,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,6,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,3,5,3,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,3,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,5,6,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,2,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,6,2,5,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,6,3,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,3,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,5,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,2,3,3,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,2,3,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,2,6,3,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,5,3,2,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,3,3,2,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,5,3,3,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,5,3,6,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,6,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,2,3,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,5,6,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,6,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,3,3,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,2,3,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,2,5,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,6,3,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,3,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,3,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,6,3,3,5,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,6,3,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,6,3,5,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,5,2,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,6,5,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,5,3,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,3,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,1,3,3,6,5] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,1,3,5,3,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,5,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,6,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,3,6,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,3,3,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,3,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,6,3,3,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,6,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,5,3,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,3,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,1,3,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,5,3,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,5,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,6,3,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,5,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,3,1,5,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,3,1,6,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,3,5,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,5,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,3,6,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,3,6,5,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,3,5,1,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,3,1,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,3,5,3,6,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,5,6,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,5,6,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,3,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,3,6,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,3,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,1,3,3,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,1,3,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,3,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,3,1,3,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,3,1,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,3,3,1,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,3,3,6,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,5,3,6,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,6,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,6,1,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,6,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,6,3,3,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,1,3,3,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,6,1,3,5,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,1,5,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,3,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,1,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,6,3,3,1,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,6,3,3,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,6,3,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,5,1,3,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,6,5,3,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,5,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,3,5,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,2,3,6,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,5,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,5,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,6,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,6,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,3,2,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,3,2,6,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,3,5,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,3,6,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,3,6,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,6,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[3,1,5,3,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,5,3,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,5,6,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,6,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,6,2,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,1,6,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,3,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,3,5,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,3,6,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,5,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,6,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,3,1,5,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,3,1,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,3,5,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,5,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,3,6,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,3,6,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,5,1,3,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,1,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,5,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,5,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,5,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,3,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,3,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,5,1,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,6,5,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,3,1,2,5,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,1,2,6,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,5,2,6] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,3,1,5,6,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,1,6,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,1,6,5,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,5,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,2,1,6,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,3,2,5,1,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,2,5,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,2,6,1,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,2,6,5,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,3,5,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,1,6,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,3,5,2,1,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,5,2,6,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,5,6,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,3,5,6,2,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,3,6,1,2,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,1,5,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,3,6,2,1,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,2,5,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,3,6,5,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,3,6,5,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,5,1,2,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,1,2,6,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,1,3,2,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,1,3,6,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,1,6,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,6,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,3,1,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,6,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,2,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,3,1,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,3,1,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,3,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,3,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,3,6,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,3,6,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,1,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,6,1,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,5,6,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,5,6,2,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,3,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,6,1,2,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,1,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,6,1,3,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,1,3,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,1,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,2,1,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,2,1,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,2,3,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,5,1,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,6,2,5,3,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,6,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,3,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,3,2,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,3,2,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,3,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,6,3,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,5,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,5,1,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,5,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,5,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,5,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,5,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,3,3,6] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,1,2,3,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,2,6,3,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,1,3,2,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,2,6,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,3,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,1,3,3,6,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,1,3,6,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,3,6,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,1,6,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,6,3,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,1,3,3,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,2,1,3,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,6,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,3,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,1,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,3,3,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,2,3,3,6,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,3,6,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,6,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,6,1,3,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,6,3,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,6,3,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,3,1,2,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,3,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,3,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,6,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,6,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,2,1,3,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,2,3,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,2,3,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,6,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,3,2,6,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,3,1,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,3,1,6,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,3,3,2,1,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,3,3,2,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,3,3,6,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,3,3,6,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,3,6,1,2,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,6,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,6,2,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,6,2,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,6,3,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,6,3,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,6,1,2,3,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,6,1,3,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,6,1,3,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,2,1,3,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,6,2,3,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,2,3,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,6,3,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,3,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,3,2,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,6,3,2,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,3,3,1,2] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,6,3,3,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,1,2,3,3,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[6,1,2,3,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,3,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,1,3,2,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,1,3,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,3,2,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,1,3,3,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,3,5,2,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,5,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,5,2,3,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,1,5,3,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,3,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,1,3,3,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,1,3,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,2,1,5,3,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,2,3,1,3,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,1,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,3,3,1,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,3,3,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[6,2,3,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,3,5,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,5,1,3,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,2,5,3,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,5,3,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,1,2,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,2,5,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,3,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,3,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,1,5,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,1,5,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,3,2,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,3,2,3,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,2,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,5,3,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,3,1,2,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,3,3,1,5,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[6,3,3,2,1,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,3,2,5,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,3,5,1,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[6,3,3,5,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,3,5,1,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,3,5,1,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,5,2,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,3,5,2,3,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,5,3,1,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,5,3,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,5,1,2,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,1,3,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,5,1,3,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,5,2,1,3,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,5,2,3,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,2,3,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,5,3,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,5,3,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,5,3,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,3,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,3,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,5,3,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,4,4,4] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,4,3,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,2,4,4,3,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,4,3] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,3,2,4,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[1,3,4,2,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,4,4,2,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,3,4,4,4,2] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[1,4,2,3,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,4,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,3,2,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,3,4,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,4,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,3,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,4,4,2,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,3,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,4,2,3] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[1,4,4,4,3,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,1,3,4,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[2,1,4,3,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,4,3,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,4,4,3] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,3,1,4,4,4] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[2,3,4,1,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,3,4,4,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,4,4,4,1] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[2,4,1,3,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,1,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,4,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,4,3,1,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,3,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,1,3,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,1,4,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,3,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,3,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,4,1,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[2,4,4,4,3,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,1,2,4,4,4] => [[],[[[]]],[[]]] => [.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3

[3,1,4,2,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,4,4,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,4,4,2] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,1,4,4,4] => [[],[[]],[[],[]]] => [.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3

[3,2,4,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,4,4,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,4,4,4,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[3,4,1,2,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,4,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,2,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,2,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,4,1,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,4,1,4,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,4,1,2] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[3,4,4,4,2,1] => [[],[[]],[[[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3

[4,1,2,3,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,2,4,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,4,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,3,2,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[4,1,3,4,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,4,2,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,3,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,4,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[4,1,4,4,3,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,3,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,1,4,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,4,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,3,4,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,3,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,4,1,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,4,1,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[4,2,4,4,3,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,3,1,2,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,4,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,3,2,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,4,4,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,3,4,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,4,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,4,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,3,4,4,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,4,1,2,3,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,4,1,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,4,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,4,3,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,4,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,3,1,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,4,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,2,4,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,3,1,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,1,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,2,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,2,4,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,3,4,1,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,4,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,4,1,2,3] => [[],[],[[[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 3

[4,4,4,1,3,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,2,1,3] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,2,3,1] => [[],[],[[],[[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 3

[4,4,4,3,1,2] => [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3

[4,4,4,3,2,1] => [[],[],[[],[],[]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 3

[1,2,3,4,4,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,4,5,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,2,3,5,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,4,3,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,4,3,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,4,4,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,2,4,4,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,5,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,4,5,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,5,3,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,2,5,4,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,5,4,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,3,2,4,4,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,4,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,2,5,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,2,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,4,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,4,2,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,4,5,2] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,5,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,4,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,5,2,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,5,4,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,4,4,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,2,3,4,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,2,3,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,4,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,4,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,5,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,5,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,3,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,5,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,3,4,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,4,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,5,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,5,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,4,2,3,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,5,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,3,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,4,4,3,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,4,5,2,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,5,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,5,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,5,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,3,4,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,5,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,5,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,2,3,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,2,4,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,4,3] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,5,3,2,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,3,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,5,4,2,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,3,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,4,3,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,4,2,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,5,4,4,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,3,4,4,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,4,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,5,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,4,3,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,4,3,5,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,4,4,3,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,4,5,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,5,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,5,3,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,5,4,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,5,4,4,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,3,1,4,4,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,1,4,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,5,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,3,4,1,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,4,1,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,3,4,4,5,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,4,5,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,4,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,5,1,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,5,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,4,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,3,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,1,3,5,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,4,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,1,4,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,1,5,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,3,4,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,3,5,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,4,1,3,5] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[2,4,4,1,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,3,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,4,3,5,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,4,5,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,4,4,5,3,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[2,4,5,1,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,5,1,4,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,3,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,5,4,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,1,3,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,5,1,4,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,4,3] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,5,3,1,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,3,4,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,3,4,4,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,5,4,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,1,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,4,3,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,4,3,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,4,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[2,5,4,4,3,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,4,4,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,1,2,4,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,5,4,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,1,4,2,4,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,4,2,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,4,4,2,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,4,4,5,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,4,5,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,5,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,5,2,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,5,4,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,1,4,4,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,1,4,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,4,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,4,4,1,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,4,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,4,5,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,5,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,5,1,4,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,5,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,5,4,4,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,2,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,1,4,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,4,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,5,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,1,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,1,4,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,4,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,5,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,4,2,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,4,1,2,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,4,1,5,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,4,4,2,1,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,5,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[3,4,4,5,1,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,4,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,4,5,1,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,5,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,2,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,4,1,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,5,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,2,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,5,1,4,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,2,1,4,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,2,4,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,2,4,4,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,5,4,1,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,4,1,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,4,4,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[3,5,4,4,2,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,3,4,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[4,1,2,3,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,4,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,4,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,5,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,5,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,2,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,2,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,3,4,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,5,2,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,1,3,5,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,4,3,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,4,3,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,4,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,4,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,5,2,3,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,5,2,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,3,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,5,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,4,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,2,1,3,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,4,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,4,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,5,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,5,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,3,1,4,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,3,1,5,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,4,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,3,4,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,3,5,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,3,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,4,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,3,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,4,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,4,5,1,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,2,4,5,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,2,5,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,4,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,5,3,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,2,5,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,5,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,5,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,1,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,2,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,3,1,4,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,5,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,5,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,1,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,5,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,2,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,3,2,5,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,4,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,4,2,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,4,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,4,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,4,5,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,5,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,5,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,3,5,2,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,5,4,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,3,5,4,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,4,1,2,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,2,5,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,3,5,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,1,5,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,1,5,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,2,1,3,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,1,5,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,1,5] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,5,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,5,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,5,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,1,2,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,1,5,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,3,2,1,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,2,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,3,5,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,5,2,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,5,1,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,5,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,5,2,1,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,5,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[4,4,5,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,5,3,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,5,1,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,5,1,2,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,1,3,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,1,3,4,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,1,4,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,1,4,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,2,1,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,1,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,5,2,3,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,5,2,4,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,1,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,3,1,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,3,2,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,2,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,4,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,3,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,4,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,4,1,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,4,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,4,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,4,3,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,4,3,2,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[5,1,2,3,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,1,2,4,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,4,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,3,2,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,1,3,4,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,4,4,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[5,1,4,2,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,4,2,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,1,4,4,3,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,2,1,3,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,2,1,4,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,4,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,2,3,1,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,2,3,4,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,3,4,4,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[5,2,4,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,4,1,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,3,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,4,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,2,4,4,3,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[5,3,1,2,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,3,1,4,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,4,2] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[5,3,2,1,4,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[5,3,2,4,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,4,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[5,3,4,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,4,1,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,2,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,4,1,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[5,3,4,4,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[5,4,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,1,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,1,3,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,4,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,2,3,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,4,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,2,4,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,3,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,3,2,1,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,4,3,2,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,4,3,4,1,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,3,4,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,4,4,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,4,4,1,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,4,4,2,1,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,4,4,2,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,4,4,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,4,4,3,2,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,4,4,6] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[1,2,3,4,6,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,2,4,3,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,4,3,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,4,4,3,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,2,4,4,6,3] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,6,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,6,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,3,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,2,6,4,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,4,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,2,4,4,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,3,2,4,6,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,2,6,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,2,4,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,4,2,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,3,4,4,2,6] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,3,4,4,6,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,6,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,4,6,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,2,4,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,3,6,4,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,6,4,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,4,2,3,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,2,3,6,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,2,4,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,4,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,6,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,6,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,4,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,3,2,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,3,4,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,6,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,3,6,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,4,2,3,6] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[1,4,4,2,6,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,3,2,6] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,4,4,3,6,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,4,4,6,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,4,6,3,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[1,4,6,2,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,4,6,2,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,6,3,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,4,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,6,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,3,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[1,6,2,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,4,4,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,2,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,6,3,4,2,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,6,4,2,3,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,6,4,2,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,3,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,3,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,6,4,4,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,6,4,4,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,3,4,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,4,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,3,6,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,3,4,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,3,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,4,4,3,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,1,4,4,6,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,4,6,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,6,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,3,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,1,6,4,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,6,4,4,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,1,4,4,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,1,4,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,1,6,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,4,1,4,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,1,6,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,3,4,4,1,6] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,4,4,6,1] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,3,4,6,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[2,3,6,4,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,3,6,4,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,4,1,3,4,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,3,6,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,4,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,4,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,6,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,4,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,3,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,4,6,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,3,6,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,3,6,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,4,1,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,1,6,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,4,3,1,6] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,4,3,6,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,4,4,6,1,3] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[2,4,4,6,3,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,4,6,1,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,4,6,1,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,6,3,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,6,4,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,1,3,4,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[2,6,1,4,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,4,4,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[2,6,3,1,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[2,6,3,4,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,6,3,4,4,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,6,4,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,6,4,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,4,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,4,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,6,4,4,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,6,4,4,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,1,2,4,4,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,4,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,6,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,4,2,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,6,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,4,4,2,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,4,4,6,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,1,4,6,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,2,4,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,1,6,4,2,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,1,6,4,4,2] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[3,2,1,4,4,6] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,2,1,4,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,4,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[3,2,4,1,4,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,1,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,4,4,1,6] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,2,4,4,6,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,4,6,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,4,6,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,4,4] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,2,6,4,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,6,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,2,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,4,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,1,4,6,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,1,6,4,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,4,2,1,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,2,4,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,4,6,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,4,2,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,6,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,4,1,2,6] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,4,1,6,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,2,1,6] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,4,2,6,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,4,6,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,4,4,6,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,4,6,1,2,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,4,6,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,4,6,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,6,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,6,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,6,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,2,4,4] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,6,1,4,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,1,4,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,6,2,1,4,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,6,2,4,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,4,4,1] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[3,6,4,1,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,1,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,4,2,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,4,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,4,4,1,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,6,4,4,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,3,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,4,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,4,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,6,3,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,2,6,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,2,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,2,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,4,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,4,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,2,3,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,1,4,2,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,4,3,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,4,3,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,4,6,2,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,1,4,6,3,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,2,3,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,6,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,3,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,3,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,1,6,4,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,6,4,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,4,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,3,6,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,4,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,4,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,1,6,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,4,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,2,3,1,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,1,6,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,2,3,4,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,3,4,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,3,6,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,3,6,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,4,1,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,1,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,4,3,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,2,4,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,4,6,1,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[4,2,4,6,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,6,1,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,6,1,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,3,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,6,3,4,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,6,4,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,6,4,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,1,2,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,2,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,4,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,4,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,4,2] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[4,3,2,1,4,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,6,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,3,2,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,4,6,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,3,2,6,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,1,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,4,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,2,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,4,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,4,6,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,4,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,6,1,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,6,1,4,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,6,2,1,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,3,6,2,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,3,6,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,6,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,4,1,2,3,6] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,1,2,6,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,1,3,2,6] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,1,3,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,1,6,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,1,6,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,2,1,3,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,1,6,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,2,3,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,2,3,6,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,2,6,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,4,2,6,3,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,3,1,2,6] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,1,6,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,4,3,2,1,6] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,3,2,6,1] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,3,6,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,3,6,2,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,6,1,2,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,4,6,1,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,4,6,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[4,4,6,2,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,6,3,1,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[4,4,6,3,2,1] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,6,1,2,3,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,6,1,2,4,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,2,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,6,1,3,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,4,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,6,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,6,2,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,2,3,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,2,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,6,2,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,3,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,3,1,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,3,2,1,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,6,3,2,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,3,4,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,6,3,4,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,4,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,4,1,3,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,6,4,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,6,4,2,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,6,4,3,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,6,4,3,2,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,1,2,3,4,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,1,2,4,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,1,2,4,4,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,1,3,2,4,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[6,1,3,4,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,4,4,2] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[6,1,4,2,3,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,4,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,4,4,2,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,1,4,4,3,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,2,1,3,4,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,2,1,4,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,1,4,4,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[6,2,3,1,4,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,2,3,4,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,2,3,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,2,4,1,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,4,1,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,2,4,3,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,2,4,3,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,4,1,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,2,4,4,3,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[6,3,1,2,4,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,3,1,4,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,3,1,4,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[6,3,2,1,4,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,2,4,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,2,4,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[6,3,4,1,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,4,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,4,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,4,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,4,4,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[6,3,4,4,2,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[6,4,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,4,1,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,3,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,3,4,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,1,4,2,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,4,1,4,3,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,4,2,1,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,1,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,3,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,3,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,4,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,4,2,4,3,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,4,3,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,3,1,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,3,2,1,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,4,3,2,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,4,3,4,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,4,3,4,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,4,4,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[6,4,4,1,3,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[6,4,4,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[6,4,4,2,3,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[6,4,4,3,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[6,4,4,3,2,1] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[1,2,3,4,5,5] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,5,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,5,5,4] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,2,4,3,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,4,5,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,2,5,3,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,5,3,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,4,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,5,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,5,3,4] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[1,2,5,5,4,3] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,3,2,4,5,5] => [[[[],[]]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2

[1,3,2,5,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,3,2,5,5,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,4,2,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,3,4,5,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[1,3,5,2,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,3,5,2,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,5,2,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[1,3,5,5,4,2] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[1,4,2,3,5,5] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,4,2,5,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,2,5,5,3] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,3,2,5,5] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[1,4,3,5,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,5,5,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[1,4,5,2,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,5,2,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,5,3,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,5,3,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,5,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[1,4,5,5,3,2] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[1,5,2,3,4,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,2,3,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,5,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,5,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,2,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,2,5,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,4,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,3,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,5,2,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,3,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,4,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,2,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,4,3,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,4,3,5,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,4,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,4,5,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,5,5,2,3,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[1,5,5,2,4,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,3,2,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,5,3,4,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[1,5,5,4,2,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[1,5,5,4,3,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,1,3,4,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,3,5,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,1,3,5,5,4] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[2,1,4,3,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,1,4,5,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,4,5,5,3] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,1,5,3,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,3,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,4,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,5,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,1,5,5,3,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,1,5,5,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,3,1,4,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,3,1,5,4,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,1,5,5,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,3,4,1,5,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,3,4,5,1,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,5,5,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[2,3,5,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,5,1,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,4,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,4,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,5,5,1,4] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,3,5,5,4,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,1,3,5,5] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,4,1,5,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,4,1,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[2,4,3,1,5,5] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[2,4,3,5,1,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,3,5,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,4,5,1,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,5,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,5,3,5,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,5,1,3] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[2,4,5,5,3,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[2,5,1,3,4,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,4,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,5,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,5,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,5,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,3,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,5,1,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,3,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,4,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,5,4,3,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,4,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,4,5,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,5,4,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,5,1,3,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[2,5,5,1,4,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[2,5,5,3,1,4] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[2,5,5,3,4,1] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,4,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[2,5,5,4,3,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[3,1,2,4,5,5] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[3,1,2,5,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,2,5,5,4] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,1,4,2,5,5] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,1,4,5,2,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,4,5,5,2] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,1,5,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,5,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,4,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,1,5,4,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,5,5,2,4] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,1,5,5,4,2] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,2,1,4,5,5] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,2,1,5,4,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,5,4] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[3,2,4,1,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,2,4,5,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,5,5,1] => [[[[]]],[[[]]]] => [[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2

[3,2,5,1,4,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,5,1,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,5,4,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,5,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,5,5,1,4] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,2,5,5,4,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,4,1,2,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[3,4,1,5,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,4,1,5,5,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[3,4,2,1,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[3,4,2,5,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,2,5,5,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,4,5,1,2,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,4,5,1,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,5,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,2,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,4,5,5,1,2] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[3,4,5,5,2,1] => [[[[]]],[[],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2

[3,5,1,2,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,2,5,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,1,4,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,5,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,5,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,2,1,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,2,4,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,2,4,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,2,5,4,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,4,2,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,4,5,1,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,4,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,5,1,2,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[3,5,5,1,4,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[3,5,5,2,1,4] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,5,2,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[3,5,5,4,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[3,5,5,4,2,1] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,1,2,3,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,1,2,5,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,2,5,5,3] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,1,3,2,5,5] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,1,3,5,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,1,3,5,5,2] => [[[],[]],[[],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2

[4,1,5,2,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,3,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,5,2,3] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[4,1,5,5,3,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[4,2,1,3,5,5] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,1,5,3,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,5,5,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,3,1,5,5] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,2,3,5,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,5,5,1] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,2,5,1,3,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,5,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,5,3,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,5,3,5,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,5,5,1,3] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,2,5,5,3,1] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,3,1,2,5,5] => [[[[[]]]],[[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2

[4,3,1,5,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,3,1,5,5,2] => [[[]],[[],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2

[4,3,2,1,5,5] => [[[]],[[],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2

[4,3,2,5,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,5,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,3,5,1,2,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,2,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,5,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,5,1,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,3,5,5,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[4,5,1,2,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,1,2,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,1,3,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,1,3,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,1,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,1,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,1,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,2,1,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,3,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,5,2,3,5,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,2,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,2,5,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,3,1,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,3,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,3,2,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,5,3,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,3,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,5,1,2,3] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[4,5,5,1,3,2] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,5,2,1,3] => [[[]],[[[[]]]]] => [[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2

[4,5,5,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[4,5,5,3,1,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[4,5,5,3,2,1] => [[[]],[[[],[]]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2

[5,1,2,3,4,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[5,1,2,3,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,4,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,4,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,1,2,5,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,1,2,5,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,3,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,3,2,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,3,4,5,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,3,5,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,3,5,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,4,2,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,2,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,4,3,2,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,4,3,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,4,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,5,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,5,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,3,4,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,1,5,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,5,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,1,3,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,3,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,4,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,1,4,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,5,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,1,5,4,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,2,3,1,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,1,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,3,4,1,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,2,3,4,5,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,3,5,1,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,5,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,1,3,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,2,4,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,3,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,3,5,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,2,4,5,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,4,5,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,1,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,5,1,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,5,3,1,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,5,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,5,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,5,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,1,2,4,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,2,5,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,4,2,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,1,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,3,1,5,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,5,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,2,1,4,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,4,1,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,3,2,4,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,4,1,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,4,2,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,2,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,3,4,5,1,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,3,4,5,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,5,2,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,2,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,5,4,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,5,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,1,2,3,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,2,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,3,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,4,1,3,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,1,5,2,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,4,1,5,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,2,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,2,3,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,2,5,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,2,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,4,3,2,1,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,4,3,2,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,4,3,5,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,4,5,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,5,1,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,5,2,1,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,4,5,2,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,5,3,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,5,3,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,5,1,2,3,4] => [[],[[[],[],[]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2

[5,5,1,2,4,3] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,3,2,4] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,1,3,4,2] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,1,4,2,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,1,4,3,2] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,5,2,1,3,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,1,4,3] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,2,3,1,4] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,2,3,4,1] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,5,2,4,1,3] => [[],[[],[[],[]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2

[5,5,2,4,3,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,3,1,2,4] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,3,1,4,2] => [[],[[],[],[[]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2

[5,5,3,2,1,4] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,3,2,4,1] => [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2

[5,5,3,4,1,2] => [[],[[[[],[]]]]] => [.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 2

[5,5,3,4,2,1] => [[],[[[]],[[]]]] => [.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 2

[5,5,4,1,2,3] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,4,1,3,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,4,2,1,3] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,4,2,3,1] => [[],[[[],[[]]]]] => [.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 2

[5,5,4,3,1,2] => [[],[[],[[[]]]]] => [.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 2

[5,5,4,3,2,1] => [[],[[],[],[],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2

[1,2,3,4,5,6] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

[1,2,3,4,6,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,5,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,2,3,5,6,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,2,3,6,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,2,4,3,5,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,4,3,6,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,2,4,5,3,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,4,5,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,4,6,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,2,4,6,5,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,5,3,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,5,3,6,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,2,5,4,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,5,6,3,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,2,5,6,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,2,6,3,4,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,2,6,3,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,2,6,4,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,2,6,4,5,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,2,6,5,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,2,6,5,4,3] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,2,4,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,4,6,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,3,2,5,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,2,5,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,2,6,5,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,3,4,2,5,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,3,4,2,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,4,5,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,4,5,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,4,6,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,4,6,5,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,2,4,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,3,5,2,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,3,5,4,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,3,5,4,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,6,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,3,5,6,4,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,3,6,2,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,3,6,2,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,3,6,4,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,3,6,4,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,3,6,5,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,3,6,5,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,3,5,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[1,4,2,3,6,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,4,2,5,3,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,4,2,5,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,2,6,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,4,2,6,5,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,2,5,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,3,2,6,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,4,3,5,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,4,3,5,6,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,4,3,6,2,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,4,3,6,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,2,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,4,5,2,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,4,5,3,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,5,3,6,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,4,5,6,2,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,4,5,6,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,4,6,2,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,4,6,2,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,4,6,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,4,6,3,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,4,6,5,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,4,6,5,3,2] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[1,5,2,3,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,2,3,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,5,2,4,6,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[1,5,2,6,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,5,2,6,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,5,3,2,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,2,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,4,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,3,4,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,3,6,2,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,5,3,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,5,4,2,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,2,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,5,4,3,2,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[1,5,4,3,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,4,6,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,4,6,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,5,6,2,3,4] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[1,5,6,2,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,5,6,3,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,5,6,3,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[1,5,6,4,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,5,6,4,3,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,3,4,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[1,6,2,3,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,2,4,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,2,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,2,5,3,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[1,6,2,5,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,3,2,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[1,6,3,2,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,3,4,2,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[1,6,3,4,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,3,5,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[1,6,3,5,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,2,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[1,6,4,2,5,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[1,6,4,3,2,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,3,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[1,6,4,5,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,4,5,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,6,5,2,3,4] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,2,4,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[1,6,5,3,2,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,5,3,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[1,6,5,4,2,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[1,6,5,4,3,2] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,1,3,4,5,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,3,4,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,3,5,4,6] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,1,3,5,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,6,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,3,6,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,1,4,3,5,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,4,3,6,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,1,4,5,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,5,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,1,4,6,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,4,6,5,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,5,3,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,1,5,3,6,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,1,5,4,3,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,1,5,4,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,1,5,6,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,1,5,6,4,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,1,6,3,4,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,1,6,3,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,1,6,4,3,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,6,4,5,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,1,6,5,3,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,1,6,5,4,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,3,1,4,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,3,1,4,6,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,5,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,1,5,6,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,1,6,4,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[2,3,1,6,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,4,1,5,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,3,4,1,6,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,4,5,1,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,3,4,5,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,3,4,6,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,4,6,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,3,5,1,4,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,3,5,1,6,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,4,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,5,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,5,6,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,5,6,4,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,3,6,1,4,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,3,6,1,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,3,6,4,1,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,3,6,4,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,3,6,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,3,6,5,4,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,4,1,3,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,1,3,6,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,4,1,5,3,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,1,5,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,4,1,6,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,1,6,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[2,4,3,1,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,3,1,6,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,3,5,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,3,5,6,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,3,6,1,5] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,4,3,6,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,4,5,1,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,5,1,6,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,4,5,3,1,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[2,4,5,3,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,4,5,6,1,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,4,5,6,3,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,4,6,1,3,5] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

[2,4,6,1,5,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,4,6,3,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,4,6,3,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,6,5,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,4,6,5,3,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,1,3,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,1,3,6,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[2,5,1,4,3,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,5,1,4,6,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,1,6,3,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,1,6,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,4,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,5,3,1,6,4] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[2,5,3,4,1,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,5,3,4,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,3,6,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,5,3,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,5,4,1,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,4,1,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,5,4,3,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,4,3,6,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,5,4,6,1,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,5,4,6,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,6,1,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,6,1,4,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,5,6,3,1,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,5,6,3,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,5,6,4,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,5,6,4,3,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[2,6,1,3,4,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,1,3,5,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,1,4,3,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,4,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,1,5,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[2,6,1,5,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,3,1,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[2,6,3,1,5,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,3,4,1,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[2,6,3,4,5,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,3,5,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,3,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[2,6,4,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[2,6,4,1,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[2,6,4,3,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[2,6,4,3,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,4,5,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[2,6,5,1,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[2,6,5,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[2,6,5,3,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[2,6,5,3,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[2,6,5,4,1,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[2,6,5,4,3,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,1,2,4,5,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,2,4,6,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,1,2,5,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,2,5,6,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,2,6,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,1,2,6,5,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,2,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,4,2,6,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,4,5,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,1,4,5,6,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,4,6,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,1,4,6,5,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,2,4,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,1,5,2,6,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,1,5,4,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,1,5,4,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,6,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,1,5,6,4,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,1,6,2,4,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,2,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,1,6,4,2,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,1,6,4,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,1,6,5,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,1,6,5,4,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,2,1,4,5,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,1,4,6,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,4,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,2,1,5,6,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,4,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,2,1,6,5,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,2,4,1,5,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,2,4,1,6,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,2,4,5,1,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,4,5,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,4,6,1,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,4,6,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,5,1,4,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,2,5,1,6,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,2,5,4,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,2,5,4,6,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,2,5,6,1,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,2,5,6,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,4,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,1,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,6,4,1,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,2,6,4,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,2,6,5,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,2,6,5,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,4,1,2,5,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,1,2,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,1,5,2,6] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[3,4,1,5,6,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,1,6,2,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,4,1,6,5,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,4,2,1,5,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,4,2,1,6,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,2,5,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,2,5,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,4,2,6,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,4,2,6,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,5,1,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,4,5,1,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,2,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,4,5,2,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,4,5,6,1,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,4,5,6,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,4,6,1,2,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,4,6,1,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,4,6,2,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,4,6,2,5,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[3,4,6,5,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,4,6,5,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,1,2,4,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,5,1,2,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,1,4,2,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,1,4,6,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[3,5,1,6,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,1,6,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,2,1,4,6] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,2,1,6,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,2,4,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,5,2,4,6,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[3,5,2,6,1,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,5,2,6,4,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,5,4,1,2,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,4,1,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,5,4,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,5,4,2,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,4,6,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,5,4,6,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,5,6,1,2,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,5,6,1,4,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[3,5,6,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,5,6,2,4,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,5,6,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,5,6,4,2,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[3,6,1,2,4,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,1,2,5,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,6,1,4,2,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[3,6,1,4,5,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[3,6,1,5,2,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[3,6,1,5,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,2,1,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,1,5,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,2,4,1,5] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[3,6,2,4,5,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,2,5,1,4] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

[3,6,2,5,4,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,4,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,4,1,5,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[3,6,4,2,1,5] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[3,6,4,2,5,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[3,6,4,5,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[3,6,4,5,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[3,6,5,1,2,4] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[3,6,5,1,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[3,6,5,2,1,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[3,6,5,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[3,6,5,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[3,6,5,4,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,1,2,3,5,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,2,3,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,2,5,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,1,2,5,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,2,6,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,2,6,5,3] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[4,1,3,2,5,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,3,2,6,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,3,5,2,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,1,3,5,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,1,3,6,2,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,1,3,6,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,5,2,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,5,2,6,3] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

[4,1,5,3,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,5,3,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,6,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,1,5,6,3,2] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,1,6,2,3,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,1,6,2,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,1,6,3,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,1,6,3,5,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,1,6,5,2,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,1,6,5,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,5,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,3,6,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,1,5,3,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,2,1,5,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,2,1,6,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,1,6,5,3] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,2,3,1,5,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,2,3,1,6,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,2,3,5,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,3,5,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,2,3,6,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,3,6,5,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,1,3,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,2,5,1,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,2,5,3,1,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,2,5,3,6,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,5,6,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,5,6,3,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,2,6,1,3,5] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,2,6,1,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,2,6,3,1,5] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,2,6,3,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,2,6,5,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,2,6,5,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,1,2,5,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,1,2,6,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,3,1,5,2,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,3,1,5,6,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,1,6,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,1,6,5,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,1,5,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,3,2,1,6,5] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,3,2,5,1,6] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,2,5,6,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,2,6,1,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,3,2,6,5,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,3,5,1,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,3,5,1,6,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,3,5,2,1,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,5,2,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,5,6,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,3,5,6,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,3,6,1,2,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,6,1,5,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[4,3,6,2,1,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,3,6,2,5,1] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[4,3,6,5,1,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,3,6,5,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,1,2,3,6] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,5,1,2,6,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,1,3,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,1,3,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,1,6,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,1,6,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,1,3,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,2,1,6,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[4,5,2,3,1,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,2,3,6,1] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,5,2,6,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,2,6,3,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,3,1,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,5,3,1,6,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[4,5,3,2,1,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,5,3,2,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,5,3,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,3,6,2,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,5,6,1,2,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,5,6,1,3,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,5,6,2,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,5,6,2,3,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[4,5,6,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,5,6,3,2,1] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[4,6,1,2,3,5] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[4,6,1,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,1,3,2,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,1,3,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[4,6,1,5,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,1,5,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[4,6,2,1,3,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[4,6,2,1,5,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,2,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,2,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,6,2,5,1,3] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[4,6,2,5,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,6,3,1,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,3,1,5,2] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[4,6,3,2,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[4,6,3,2,5,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,3,5,1,2] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[4,6,3,5,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,5,1,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[4,6,5,1,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[4,6,5,2,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[4,6,5,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[4,6,5,3,1,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[4,6,5,3,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,1,2,3,4,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,2,3,6,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,2,4,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,2,4,6,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,1,2,6,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,1,2,6,4,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,2,4,6] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[5,1,3,2,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,2,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,3,4,6,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,3,6,2,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,1,3,6,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,1,4,2,3,6] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,1,4,2,6,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,2,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,4,3,6,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,1,4,6,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,1,4,6,3,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,2,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,1,6,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,1,6,3,2,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,1,6,3,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,1,6,4,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,1,6,4,3,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,4,6] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,2,1,3,6,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,1,4,3,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,1,4,6,3] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,6,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,2,1,6,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,3,1,4,6] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,2,3,1,6,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,2,3,4,1,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,3,4,6,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,2,3,6,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,3,6,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,4,1,3,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,4,1,6,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,4,3,1,6] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,2,4,3,6,1] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,2,4,6,1,3] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[5,2,4,6,3,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,2,6,1,3,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,2,6,1,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,2,6,3,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,2,6,3,4,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,2,6,4,1,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,2,6,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,2,4,6] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,1,2,6,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,2,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,1,4,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,3,1,6,2,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,3,1,6,4,2] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

[5,3,2,1,4,6] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,1,6,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,3,2,4,1,6] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[5,3,2,4,6,1] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,2,6,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,2,6,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,4,1,2,6] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,4,1,6,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,2,1,6] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,3,4,2,6,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,4,6,1,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,3,4,6,2,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,3,6,1,2,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,3,6,1,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,3,6,2,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,3,6,2,4,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,3,6,4,1,2] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,3,6,4,2,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,4,1,2,3,6] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,4,1,2,6,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,1,3,2,6] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,1,3,6,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,4,1,6,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,1,6,3,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,2,1,3,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,2,1,6,3] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,2,3,1,6] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,4,2,3,6,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,2,6,1,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,4,2,6,3,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,3,1,2,6] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,1,6,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,4,3,2,1,6] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,4,3,2,6,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,4,3,6,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,4,3,6,2,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,4,6,1,2,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,4,6,1,3,2] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,4,6,2,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,4,6,2,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,6,3,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,4,6,3,2,1] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[5,6,1,2,3,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[5,6,1,2,4,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[5,6,1,3,2,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[5,6,1,3,4,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,6,1,4,2,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,6,1,4,3,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,6,2,1,3,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,2,1,4,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[5,6,2,3,1,4] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[5,6,2,3,4,1] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,2,4,1,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,6,2,4,3,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,3,1,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[5,6,3,1,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[5,6,3,2,1,4] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[5,6,3,2,4,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[5,6,3,4,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[5,6,3,4,2,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[5,6,4,1,2,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[5,6,4,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[5,6,4,2,1,3] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[5,6,4,2,3,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[5,6,4,3,1,2] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[5,6,4,3,2,1] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,1,2,3,4,5] => [[[[],[],[],[]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => 1

[6,1,2,3,5,4] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,2,4,3,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,1,2,4,5,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,2,5,3,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,1,2,5,4,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,3,2,4,5] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,3,2,5,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,4,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,3,4,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,1,3,5,2,4] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,1,3,5,4,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,1,4,2,3,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,2,5,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,4,3,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,4,3,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,1,4,5,2,3] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,1,4,5,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,2,3,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,1,5,2,4,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,1,5,3,2,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,1,5,3,4,2] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,4,2,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,1,5,4,3,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,1,3,4,5] => [[[[[],[[]]]]]] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => 1

[6,2,1,3,5,4] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,1,4,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,2,1,4,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,1,5,3,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,1,5,4,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,2,3,1,4,5] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,3,1,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,3,4,1,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,2,3,4,5,1] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,2,3,5,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,3,5,4,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,1,3,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,2,4,1,5,3] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,2,4,3,1,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,2,4,3,5,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,4,5,1,3] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,2,4,5,3,1] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,2,5,1,3,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,2,5,1,4,3] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,2,5,3,1,4] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,2,5,3,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,4,1,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,2,5,4,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,1,2,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,1,2,5,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,1,4,2,5] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,3,1,4,5,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,1,5,2,4] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,1,5,4,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,2,1,4,5] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,2,1,5,4] => [[[],[[],[],[]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => 1

[6,3,2,4,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,3,2,4,5,1] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,3,2,5,1,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,3,2,5,4,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,4,1,2,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,3,4,1,5,2] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,3,4,2,1,5] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,3,4,2,5,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,4,5,1,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,3,4,5,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,3,5,1,2,4] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,3,5,1,4,2] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,3,5,2,1,4] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,3,5,2,4,1] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,3,5,4,1,2] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,3,5,4,2,1] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,2,3,5] => [[[[[]],[[]]]]] => [[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => 1

[6,4,1,2,5,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,1,3,2,5] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,1,3,5,2] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,4,1,5,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,4,1,5,3,2] => [[[],[[[],[]]]]] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => 1

[6,4,2,1,3,5] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,1,5,3] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,3,1,5] => [[[],[[]],[[]]]] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => 1

[6,4,2,3,5,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,2,5,1,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,2,5,3,1] => [[[],[],[],[[]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => 1

[6,4,3,1,2,5] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,4,3,1,5,2] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,3,2,1,5] => [[[[[],[],[]]]]] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => 1

[6,4,3,2,5,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,4,3,5,1,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,3,5,2,1] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,4,5,1,2,3] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,4,5,1,3,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,5,2,1,3] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,4,5,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,4,5,3,1,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,4,5,3,2,1] => [[[[]],[[],[]]]] => [[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => 1

[6,5,1,2,3,4] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,5,1,2,4,3] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,5,1,3,2,4] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,1,3,4,2] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,2,3] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,5,1,4,3,2] => [[[],[],[[],[]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => 1

[6,5,2,1,3,4] => [[[[[]]],[[]]]] => [[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => 1

[6,5,2,1,4,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,2,3,1,4] => [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1

[6,5,2,3,4,1] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,5,2,4,1,3] => [[[[],[[],[]]]]] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => 1

[6,5,2,4,3,1] => [[[[]],[[[]]]]] => [[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => 1

[6,5,3,1,2,4] => [[[[[[],[]]]]]] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1

[6,5,3,1,4,2] => [[[[],[],[[]]]]] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => 1

[6,5,3,2,1,4] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,3,2,4,1] => [[[],[[[[]]]]]] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => 1

[6,5,3,4,1,2] => [[[[],[[[]]]]]] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => 1

[6,5,3,4,2,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,4,1,2,3] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,4,1,3,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,4,2,1,3] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,4,2,3,1] => [[[],[[],[[]]]]] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => 1

[6,5,4,3,1,2] => [[[],[],[[[]]]]] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => 1

[6,5,4,3,2,1] => [[[],[],[],[],[]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1

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$F_{1} = q$

$F_{2} = 2\ q + q^{2}$

$F_{3} = 9\ q + 6\ q^{2} + q^{3}$

$F_{4} = 64\ q + 48\ q^{2} + 12\ q^{3} + q^{4}$

$F_{5} = 625\ q + 500\ q^{2} + 150\ q^{3} + 20\ q^{4} + q^{5}$

$F_{6} = 7776\ q + 6480\ q^{2} + 2160\ q^{3} + 360\ q^{4} + 30\ q^{5} + q^{6}$

Description

Number of indecomposable injective modules with grade at least 1 in the corresponding Nakayama algebra.

Map

ordered tree

Description

The ordered tree associated with the parking function by Pollak.
Let

$(p_1,\dots,p_n)$ be a parking function. Set

$c_i = p_{i+1}-p_i \mod (n+1)$ to obtain a Prüfer code, and return the underlying ordered tree rooted at

$0$ .

Map

to Tamari-corresponding Dyck path

Description

Return the Dyck path associated with a binary tree in consistency with the Tamari order on Dyck words and binary trees.
The bijection is defined recursively as follows:

a leaf is associated with an empty Dyck path,
a tree with children $l,r$ is associated with the Dyck word $T(l) 1 T(r) 0$ where $T(l)$ and $T(r)$ are the images of this bijection to $l$ and $r$ .

Map

to binary tree: right brother = right child

Description

Return a binary tree of size

$n-1$ (where

$n$ is the size of an ordered tree

$t$ ) obtained from

$t$ by the following recursive rule:
- if

$x$ is the right brother of

$y$ in

$t$ , then

$x$ becomes the right child of

$y$ ;
- if

$x$ is the first child of

$y$ in

$t$ , then

$x$ becomes the left child of

$y$ ,
and removing the root of

$t$ .