- FindStat

Identifier

Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words

Images

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

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

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

[[],[],[]] => [[[.,.],.],.] => [1,2,3] => 11

[[],[[]]] => [[.,.],[.,.]] => [1,3,2] => 10

[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => 01

[[[],[]]] => [.,[[.,.],.]] => [2,3,1] => 00

[[[[]]]] => [.,[.,[.,.]]] => [3,2,1] => 00

[[],[],[],[]] => [[[[.,.],.],.],.] => [1,2,3,4] => 111

[[],[],[[]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => 110

[[],[[]],[]] => [[[.,.],[.,.]],.] => [1,3,2,4] => 101

[[],[[],[]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => 100

[[],[[[]]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => 100

[[[]],[],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 011

[[[]],[[]]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => 010

[[[],[]],[]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 001

[[[[]]],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 001

[[[],[],[]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => 000

[[[],[[]]]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => 000

[[[[]],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 000

[[[[],[]]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 000

[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 000

[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 1111

[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1110

[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 1101

[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 1100

[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 1100

[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 1011

[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 1010

[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 1001

[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 1001

[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 1000

[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 1000

[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 1000

[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 1000

[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 1000

[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0111

[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 0110

[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 0101

[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 0100

[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 0100

[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 0011

[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 0011

[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 0010

[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 0010

[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0001

[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 0001

[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0001

[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 0001

[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 0001

[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 0000

[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 0000

[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 0000

[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 0000

[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 0000

[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 0000

[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 0000

[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 0000

[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0000

[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 0000

[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 0000

[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0000

[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0000

[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0000

[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 11111

[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 11110

[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 11101

[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 11100

[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 11100

[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 11011

[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 11010

[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 11001

[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 11001

[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 11000

[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 11000

[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 11000

[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 11000

[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 11000

[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 10111

[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 10110

[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 10101

[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 10100

[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 10100

[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 10011

[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 10011

[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 10010

[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 10010

[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 10001

[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 10001

[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 10001

[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 10001

[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 10001

[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 10000

[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 10000

[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 10000

[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 10000

[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 10000

[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 10000

[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 10000

[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 10000

[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 10000

>>> Load all 1442 entries. <<<

[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 10000

[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 10000

[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 10000

[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 10000

[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10000

[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 01111

[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 01110

[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 01101

[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 01100

[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 01100

[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 01011

[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 01010

[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 01001

[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 01001

[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 01000

[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 01000

[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 01000

[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 01000

[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 01000

[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 00111

[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 00111

[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 00110

[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 00110

[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 00101

[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 00101

[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 00100

[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 00100

[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 00100

[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 00100

[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 00011

[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 00011

[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 00011

[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 00011

[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 00011

[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 00010

[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 00010

[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 00010

[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 00010

[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 00010

[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 00001

[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 00001

[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 00001

[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 00001

[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 00001

[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 00001

[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 00001

[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 00001

[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 00001

[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 00001

[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 00001

[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 00001

[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 00001

[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 00001

[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 00000

[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 00000

[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 00000

[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 00000

[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 00000

[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 00000

[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 00000

[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 00000

[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 00000

[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 00000

[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 00000

[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 00000

[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 00000

[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 00000

[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 00000

[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 00000

[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 00000

[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 00000

[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 00000

[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 00000

[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 00000

[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 00000

[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 00000

[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 00000

[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 00000

[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 00000

[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 00000

[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 00000

[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 00000

[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 00000

[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 00000

[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 00000

[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 00000

[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 00000

[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 00000

[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 00000

[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 00000

[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 00000

[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 00000

[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 00000

[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 00000

[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 00000

[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 111111

[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 111110

[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 111101

[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 111100

[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 111100

[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 111011

[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 111010

[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 111001

[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 111001

[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 111000

[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 111000

[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 111000

[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 111000

[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 111000

[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 110111

[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 110110

[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 110101

[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 110100

[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 110100

[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 110011

[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 110011

[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 110010

[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 110010

[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 110001

[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 110001

[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 110001

[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 110001

[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 110001

[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 110000

[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 110000

[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 110000

[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 110000

[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 110000

[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 110000

[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 110000

[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 110000

[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 110000

[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 110000

[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 110000

[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 110000

[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 110000

[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 110000

[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 101111

[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 101110

[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 101101

[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 101100

[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 101100

[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 101011

[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 101010

[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 101001

[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 101001

[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 101000

[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 101000

[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 101000

[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 101000

[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 101000

[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 100111

[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 100111

[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 100110

[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 100110

[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 100101

[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 100101

[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 100100

[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 100100

[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 100100

[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 100100

[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 100011

[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 100011

[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 100011

[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 100011

[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => 100011

[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 100010

[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 100010

[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 100010

[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 100010

[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => 100010

[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 100001

[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 100001

[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 100001

[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 100001

[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 100001

[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 100001

[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 100001

[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 100001

[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => 100001

[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 100001

[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 100001

[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => 100001

[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => 100001

[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => 100001

[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 100000

[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 100000

[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 100000

[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 100000

[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 100000

[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 100000

[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 100000

[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 100000

[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 100000

[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 100000

[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 100000

[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 100000

[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 100000

[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 100000

[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 100000

[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 100000

[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 100000

[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 100000

[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 100000

[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 100000

[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => 100000

[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 100000

[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => 100000

[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 100000

[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 100000

[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => 100000

[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => 100000

[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => 100000

[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 100000

[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 100000

[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => 100000

[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => 100000

[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => 100000

[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => 100000

[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => 100000

[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => 100000

[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => 100000

[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => 100000

[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => 100000

[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => 100000

[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => 100000

[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => 100000

[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => 011111

[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => 011110

[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => 011101

[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => 011100

[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => 011100

[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => 011011

[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => 011010

[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => 011001

[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => 011001

[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => 011000

[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => 011000

[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => 011000

[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => 011000

[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => 011000

[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => 010111

[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => 010110

[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => 010101

[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => 010100

[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => 010100

[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => 010011

[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => 010011

[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => 010010

[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => 010010

[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => 010001

[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => 010001

[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => 010001

[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => 010001

[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => 010001

[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => 010000

[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => 010000

[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => 010000

[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => 010000

[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => 010000

[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => 010000

[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => 010000

[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => 010000

[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => 010000

[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => 010000

[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => 010000

[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => 010000

[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => 010000

[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => 010000

[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => 001111

[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => 001111

[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => 001110

[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => 001110

[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => 001101

[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => 001101

[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => 001100

[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => 001100

[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => 001100

[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => 001100

[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => 001011

[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => 001011

[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => 001010

[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => 001010

[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => 001001

[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => 001001

[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => 001001

[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => 001001

[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => 001000

[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => 001000

[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => 001000

[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => 001000

[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => 001000

[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => 001000

[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => 001000

[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => 001000

[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => 001000

[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => 001000

[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => 000111

[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => 000111

[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => 000111

[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => 000111

[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => 000111

[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => 000110

[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => 000110

[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => 000110

[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => 000110

[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => 000110

[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => 000101

[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => 000101

[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => 000101

[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => 000101

[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => 000101

[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => 000100

[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => 000100

[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => 000100

[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => 000100

[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => 000100

[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => 000100

[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => 000100

[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => 000100

[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => 000100

[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => 000100

[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => 000011

[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => 000011

[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => 000011

[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => 000011

[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => 000011

[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => 000011

[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => 000011

[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => 000011

[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => 000011

[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => 000011

[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => 000011

[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => 000011

[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => 000011

[[[[[[]]]]],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => 000011

[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => 000010

[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => 000010

[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => 000010

[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => 000010

[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => 000010

[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => 000010

[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => 000010

[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => 000010

[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => 000010

[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => 000010

[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => 000010

[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => 000010

[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => 000010

[[[[[[]]]]],[[]]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => 000010

[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => 000001

[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => 000001

[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => 000001

[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => 000001

[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => 000001

[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => 000001

[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => 000001

[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => 000001

[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => 000001

[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => 000001

[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => 000001

[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => 000001

[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => 000001

[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => 000001

[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => 000001

[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => 000001

[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => 000001

[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => 000001

[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => 000001

[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => 000001

[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => 000001

[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => 000001

[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => 000001

[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => 000001

[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => 000001

[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => 000001

[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => 000001

[[[[[[]]]],[]],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => 000001

[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => 000001

[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => 000001

[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => 000001

[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => 000001

[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => 000001

[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => 000001

[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => 000001

[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => 000001

[[[[[[]]],[]]],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => 000001

[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => 000001

[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => 000001

[[[[[[]],[]]]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => 000001

[[[[[[],[]]]]],[]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => 000001

[[[[[[[]]]]]],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => 000001

[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => 000000

[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => 000000

[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => 000000

[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => 000000

[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => 000000

[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => 000000

[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => 000000

[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => 000000

[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => 000000

[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => 000000

[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => 000000

[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => 000000

[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => 000000

[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => 000000

[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => 000000

[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => 000000

[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => 000000

[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => 000000

[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => 000000

[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => 000000

[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => 000000

[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => 000000

[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => 000000

[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => 000000

[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => 000000

[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => 000000

[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => 000000

[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => 000000

[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => 000000

[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => 000000

[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => 000000

[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => 000000

[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => 000000

[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => 000000

[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => 000000

[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => 000000

[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => 000000

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[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => 000000

[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => 000000

[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => 000000

[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => 000000

[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => 000000

[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => 000000

[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => 000000

[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => 000000

[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => 000000

[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => 000000

[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => 000000

[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => 000000

[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => 000000

[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => 000000

[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => 000000

[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => 000000

[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => 000000

[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => 000000

[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => 000000

[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => 000000

[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => 000000

[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => 000000

[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => 000000

[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => 000000

[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => 000000

[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => 000000

[[[[[]]],[[],[]]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => 000000

[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => 000000

[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => 000000

[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => 000000

[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => 000000

[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => 000000

[[[[[[]]]],[],[]]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => 000000

[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => 000000

[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => 000000

[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => 000000

[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => 000000

[[[[[[]]]],[[]]]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => 000000

[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => 000000

[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => 000000

[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => 000000

[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => 000000

[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => 000000

[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => 000000

[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => 000000

[[[[[],[]],[]],[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => 000000

[[[[[[]]],[]],[]]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => 000000

[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => 000000

[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => 000000

[[[[[[]],[]]],[]]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => 000000

[[[[[[],[]]]],[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => 000000

[[[[[[[]]]]],[]]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => 000000

[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => 000000

[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => 000000

[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => 000000

[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => 000000

[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => 000000

[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => 000000

[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => 000000

[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => 000000

[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => 000000

[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => 000000

[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => 000000

[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => 000000

[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => 000000

[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => 000000

[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => 000000

[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => 000000

[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => 000000

[[[[[]],[[],[]]]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => 000000

[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => 000000

[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => 000000

[[[[[[]]],[],[]]]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => 000000

[[[[[],[]],[[]]]]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => 000000

[[[[[[]]],[[]]]]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => 000000

[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => 000000

[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => 000000

[[[[[[]],[]],[]]]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => 000000

[[[[[[],[]]],[]]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => 000000

[[[[[[[]]]],[]]]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => 000000

[[[[[],[],[],[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => 000000

[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => 000000

[[[[[],[[]],[]]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => 000000

[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => 000000

[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => 000000

[[[[[[]],[],[]]]]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => 000000

[[[[[[]],[[]]]]]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => 000000

[[[[[[],[]],[]]]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => 000000

[[[[[[[]]],[]]]]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => 000000

[[[[[[],[],[]]]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => 000000

[[[[[[],[[]]]]]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => 000000

[[[[[[[]],[]]]]]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => 000000

[[[[[[[],[]]]]]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => 000000

[[[[[[[[]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => 000000

[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => 1111111

[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => 1111110

[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => 1111101

[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => 1111100

[[],[],[],[],[],[[[]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => 1111100

[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => 1111011

[[],[],[],[],[[]],[[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => 1111010

[[],[],[],[],[[],[]],[]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => 1111001

[[],[],[],[],[[[]]],[]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => 1111001

[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => 1111000

[[],[],[],[],[[],[[]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => 1111000

[[],[],[],[],[[[]],[]]] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => 1111000

[[],[],[],[],[[[],[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => 1111000

[[],[],[],[],[[[[]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => 1111000

[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => 1110111

[[],[],[],[[]],[],[[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => 1110110

[[],[],[],[[]],[[]],[]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => 1110101

[[],[],[],[[]],[[],[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => 1110100

[[],[],[],[[]],[[[]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => 1110100

[[],[],[],[[],[]],[],[]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => 1110011

[[],[],[],[[[]]],[],[]] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => 1110011

[[],[],[],[[],[]],[[]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => 1110010

[[],[],[],[[[]]],[[]]] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => 1110010

[[],[],[],[[],[],[]],[]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => 1110001

[[],[],[],[[],[[]]],[]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => 1110001

[[],[],[],[[[]],[]],[]] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => 1110001

[[],[],[],[[[],[]]],[]] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => 1110001

[[],[],[],[[[[]]]],[]] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => 1110001

[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => 1110000

[[],[],[],[[],[],[[]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => 1110000

[[],[],[],[[],[[]],[]]] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => 1110000

[[],[],[],[[],[[],[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => 1110000

[[],[],[],[[],[[[]]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => 1110000

[[],[],[],[[[]],[],[]]] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => 1110000

[[],[],[],[[[]],[[]]]] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => 1110000

[[],[],[],[[[],[]],[]]] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => 1110000

[[],[],[],[[[[]]],[]]] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => 1110000

[[],[],[],[[[],[],[]]]] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => 1110000

[[],[],[],[[[],[[]]]]] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => 1110000

[[],[],[],[[[[]],[]]]] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => 1110000

[[],[],[],[[[[],[]]]]] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => 1110000

[[],[],[],[[[[[]]]]]] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => 1110000

[[],[],[[]],[],[],[],[]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => 1101111

[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => 1101110

[[],[],[[]],[],[[]],[]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => 1101101

[[],[],[[]],[],[[],[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => 1101100

[[],[],[[]],[],[[[]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => 1101100

[[],[],[[]],[[]],[],[]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => 1101011

[[],[],[[]],[[]],[[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => 1101010

[[],[],[[]],[[],[]],[]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => 1101001

[[],[],[[]],[[],[],[]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => 1101000

[[],[],[[]],[[],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => 1101000

[[],[],[[]],[[[],[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => 1101000

[[],[],[[]],[[[[]]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => 1101000

[[],[],[[[]]],[],[],[]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => 1100111

[[],[],[[[]]],[],[[]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => 1100110

[[],[],[[],[]],[[]],[]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => 1100101

[[],[],[[],[]],[[],[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => 1100100

[[],[],[[],[]],[[[]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => 1100100

[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => 1100100

[[],[],[[[]]],[[[]]]] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => 1100100

[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => 1100011

[[],[],[[[],[]]],[],[]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => 1100011

[[],[],[[[[]]]],[],[]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => 1100011

[[],[],[[],[],[]],[[]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => 1100010

[[],[],[[],[],[],[]],[]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => 1100001

[[],[],[[],[[],[]]],[]] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => 1100001

[[],[],[[[]],[],[]],[]] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => 1100001

[[],[],[[[],[]],[]],[]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => 1100001

[[],[],[[[],[],[]]],[]] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => 1100001

[[],[],[[[],[[]]]],[]] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => 1100001

[[],[],[[[[],[]]]],[]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => 1100001

[[],[],[[[[[]]]]],[]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => 1100001

[[],[],[[],[],[],[],[]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => 1100000

[[],[],[[],[],[],[[]]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => 1100000

[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => 1100000

[[],[],[[],[],[[[]]]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => 1100000

[[],[],[[],[[]],[[]]]] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => 1100000

[[],[],[[],[[[]]],[]]] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => 1100000

[[],[],[[],[[],[],[]]]] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => 1100000

[[],[],[[],[[],[[]]]]] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => 1100000

[[],[],[[],[[[],[]]]]] => [[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => 1100000

[[],[],[[],[[[[]]]]]] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => 1100000

[[],[],[[[]],[],[],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => 1100000

[[],[],[[[]],[],[[]]]] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => 1100000

[[],[],[[[]],[[]],[]]] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => 1100000

[[],[],[[[]],[[],[]]]] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => 1100000

[[],[],[[[]],[[[]]]]] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => 1100000

[[],[],[[[[]]],[],[]]] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => 1100000

[[],[],[[[[]]],[[]]]] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => 1100000

[[],[],[[[],[],[]],[]]] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => 1100000

[[],[],[[[],[],[],[]]]] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => 1100000

[[],[],[[[],[],[[]]]]] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => 1100000

[[],[],[[[],[[[]]]]]] => [[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => 1100000

[[],[],[[[[[]]],[]]]] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => 1100000

[[],[],[[[[],[],[]]]]] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => 1100000

[[],[],[[[[[],[]]]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => 1100000

[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => 1100000

[[],[[]],[],[],[],[],[]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => 1011111

[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => 1011110

[[],[[]],[],[],[[]],[]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => 1011101

[[],[[]],[],[],[[],[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => 1011100

[[],[[]],[],[],[[[]]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => 1011100

[[],[[]],[],[[]],[],[]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => 1011011

[[],[[]],[],[[]],[[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => 1011010

[[],[[]],[],[[[]]],[]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => 1011001

[[],[[]],[],[[],[],[]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => 1011000

[[],[[]],[],[[],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => 1011000

[[],[[]],[],[[[[]]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => 1011000

[[],[[]],[[]],[],[],[]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => 1010111

[[],[[]],[[]],[[]],[]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => 1010101

[[],[[]],[[]],[[],[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => 1010100

[[],[[]],[[]],[[[]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => 1010100

[[],[[]],[[[]]],[],[]] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => 1010011

[[],[[]],[[],[]],[[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => 1010010

[[],[[]],[[[]]],[[]]] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => 1010010

[[],[[]],[[],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => 1010001

[[],[[]],[[[]],[]],[]] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => 1010001

[[],[[]],[[],[],[[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => 1010000

[[],[[]],[[],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => 1010000

[[],[[]],[[],[[[]]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => 1010000

[[],[[]],[[[]],[[]]]] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => 1010000

[[],[[]],[[[[]]],[]]] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => 1010000

[[],[[]],[[[],[],[]]]] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => 1010000

[[],[[]],[[[],[[]]]]] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => 1010000

[[],[[]],[[[[[]]]]]] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => 1010000

[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => 1001111

[[],[[[]]],[],[],[],[]] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => 1001111

[[],[[],[]],[],[],[[]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => 1001110

[[],[[[]]],[],[],[[]]] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => 1001110

[[],[[[]]],[],[[]],[]] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => 1001101

[[],[[],[]],[],[[],[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => 1001100

[[],[[[]]],[],[[],[]]] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => 1001100

[[],[[[]]],[],[[[]]]] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => 1001100

[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => 1001010

[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => 1001001

[[],[[[]]],[[],[]],[]] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => 1001001

[[],[[[]]],[[[]]],[]] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => 1001001

[[],[[],[]],[[],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => 1001000

[[],[[],[]],[[[],[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => 1001000

[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => 1001000

[[],[[[]]],[[],[],[]]] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => 1001000

[[],[[[]]],[[],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => 1001000

[[],[[[]]],[[[]],[]]] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => 1001000

[[],[[[]]],[[[[]]]]] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => 1001000

[[],[[],[],[]],[],[],[]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => 1000111

[[],[[],[[]]],[],[[]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => 1000110

[[],[[[],[]]],[],[[]]] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => 1000110

[[],[[],[],[]],[[]],[]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => 1000101

[[],[[],[[]]],[[]],[]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => 1000101

[[],[[[]],[]],[[]],[]] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => 1000101

[[],[[],[],[]],[[],[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => 1000100

[[],[[],[],[]],[[[]]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => 1000100

[[],[[],[[]]],[[],[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => 1000100

[[],[[[[]]]],[[],[]]] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => 1000100

[[],[[[[]]]],[[[]]]] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => 1000100

[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => 1000011

[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => 1000011

[[],[[[]],[],[]],[],[]] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => 1000011

[[],[[[]],[[]]],[],[]] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => 1000011

[[],[[[],[]],[]],[],[]] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => 1000011

[[],[[[[]]],[]],[],[]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => 1000011

[[],[[[],[],[]]],[],[]] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => 1000011

[[],[[[],[[]]]],[],[]] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => 1000011

[[],[[[[]],[]]],[],[]] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => 1000011

[[],[[[[],[]]]],[],[]] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => 1000011

[[],[[[[[]]]]],[],[]] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => 1000011

[[],[[],[],[],[]],[[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => 1000010

[[],[[],[[[]]]],[[]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => 1000010

[[],[[[[]],[]]],[[]]] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => 1000010

[[],[[[[],[]]]],[[]]] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => 1000010

[[],[[[[[]]]]],[[]]] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => 1000010

[[],[[],[],[],[],[]],[]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => 1000001

[[],[[],[],[[],[]]],[]] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => 1000001

[[],[[],[[]],[[]]],[]] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => 1000001

[[],[[],[[],[]],[]],[]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => 1000001

[[],[[],[[[]]],[]],[]] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => 1000001

[[],[[],[[],[],[]]],[]] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => 1000001

[[],[[],[[],[[]]]],[]] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => 1000001

[[],[[],[[[],[]]]],[]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => 1000001

[[],[[[]],[],[[]]],[]] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => 1000001

[[],[[[]],[[]],[]],[]] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => 1000001

[[],[[[],[]],[],[]],[]] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => 1000001

[[],[[[[]],[]],[]],[]] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => 1000001

[[],[[[],[[]],[]]],[]] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => 1000001

[[],[[[[],[]],[]]],[]] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => 1000001

[[],[[[[],[],[]]]],[]] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => 1000001

[[],[[[[[]],[]]]],[]] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => 1000001

[[],[[[[[],[]]]]],[]] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => 1000001

[[],[[[[[[]]]]]],[]] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => 1000001

[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => 1000000

[[],[[],[],[],[],[[]]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => 1000000

[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => 1000000

[[],[[],[],[[]],[],[]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => 1000000

[[],[[],[],[[],[]],[]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => 1000000

[[],[[],[],[[[]]],[]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => 1000000

[[],[[],[],[[],[],[]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => 1000000

[[],[[],[],[[[]],[]]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => 1000000

[[],[[],[],[[[[]]]]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => 1000000

[[],[[],[[]],[[[]]]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => 1000000

[[],[[],[[[]]],[[]]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => 1000000

[[],[[],[[],[],[]],[]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => 1000000

[[],[[],[[],[],[],[]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => 1000000

[[],[[],[[],[],[[]]]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => 1000000

[[],[[],[[],[[],[]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => 1000000

[[],[[],[[],[[[]]]]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => 1000000

[[],[[],[[[]],[],[]]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => 1000000

[[],[[],[[[],[],[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => 1000000

[[],[[],[[[],[[]]]]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => 1000000

[[],[[],[[[[],[]]]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => 1000000

[[],[[],[[[[[]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => 1000000

[[],[[[]],[],[],[],[]]] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => 1000000

[[],[[[]],[],[[],[]]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => 1000000

[[],[[[]],[],[[[]]]]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => 1000000

[[],[[[]],[[]],[],[]]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => 1000000

[[],[[[]],[[]],[[]]]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => 1000000

[[],[[[]],[[],[],[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => 1000000

[[],[[[]],[[],[[]]]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => 1000000

[[],[[[]],[[[]],[]]]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => 1000000

[[],[[[]],[[[],[]]]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => 1000000

[[],[[[]],[[[[]]]]]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => 1000000

[[],[[[],[]],[],[],[]]] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => 1000000

[[],[[[[]]],[],[],[]]] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => 1000000

[[],[[[],[]],[],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => 1000000

[[],[[[[]]],[],[[]]]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => 1000000

[[],[[[],[],[]],[[]]]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => 1000000

[[],[[[],[[]]],[[]]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => 1000000

[[],[[[[],[]]],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => 1000000

[[],[[[[[]]]],[[]]]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => 1000000

[[],[[[],[[],[]]],[]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => 1000000

[[],[[[[]],[],[]],[]]] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => 1000000

[[],[[[[[[]]]]],[]]] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => 1000000

[[],[[[],[],[],[],[]]]] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => 1000000

[[],[[[],[],[[[]]]]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => 1000000

[[],[[[],[[]],[[]]]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => 1000000

[[],[[[],[[[]]],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => 1000000

[[],[[[],[[],[],[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => 1000000

[[],[[[],[[],[[]]]]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => 1000000

[[],[[[],[[[],[]]]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => 1000000

[[],[[[],[[[[]]]]]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => 1000000

[[],[[[[]],[],[],[]]]] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => 1000000

[[],[[[[]],[[],[]]]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => 1000000

[[],[[[[[]]],[],[]]]] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => 1000000

[[],[[[[],[],[],[]]]]] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => 1000000

[[],[[[[],[[]],[]]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => 1000000

[[],[[[[],[[[]]]]]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => 1000000

[[],[[[[[]],[],[]]]]] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => 1000000

[[],[[[[[]],[[]]]]]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => 1000000

[[],[[[[[],[]],[]]]]] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => 1000000

[[],[[[[[[]]],[]]]]] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => 1000000

[[],[[[[[],[],[]]]]]] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => 1000000

[[],[[[[[],[[]]]]]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => 1000000

[[],[[[[[[]],[]]]]]] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => 1000000

[[],[[[[[[],[]]]]]]] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => 1000000

[[],[[[[[[[]]]]]]]] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => 1000000

[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => 0111111

[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => 0111110

[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => 0111101

[[[]],[],[],[],[[],[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => 0111100

[[[]],[],[],[],[[[]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => 0111100

[[[]],[],[],[[]],[],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => 0111011

[[[]],[],[],[[]],[[]]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => 0111010

[[[]],[],[],[[],[],[]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => 0111000

[[[]],[],[],[[[],[]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => 0111000

[[[]],[],[],[[[[]]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => 0111000

[[[]],[],[[]],[],[],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => 0110111

[[[]],[],[[]],[],[[]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => 0110110

[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => 0110100

[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => 0110100

[[[]],[],[[],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => 0110010

[[[]],[],[[[]]],[[]]] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => 0110010

[[[]],[],[[[],[]]],[]] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => 0110001

[[[]],[],[[],[],[],[]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => 0110000

[[[]],[],[[[]],[[]]]] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => 0110000

[[[]],[],[[[],[[]]]]] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => 0110000

[[[]],[],[[[[],[]]]]] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => 0110000

[[[]],[],[[[[[]]]]]] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => 0110000

[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => 0101111

[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => 0101110

[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => 0101100

[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => 0101100

[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => 0101011

[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => 0101010

[[[]],[[]],[[],[]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => 0101001

[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => 0101000

[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => 0101000

[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => 0101000

[[[]],[[],[]],[],[],[]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => 0100111

[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => 0100111

[[[]],[[[]]],[],[[]]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => 0100110

[[[]],[[[]]],[[]],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => 0100101

[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => 0100100

[[[]],[[[]]],[[[]]]] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => 0100100

[[[]],[[],[[]]],[],[]] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => 0100011

[[[]],[[[],[]]],[],[]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => 0100011

[[[]],[[],[],[]],[[]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => 0100010

[[[]],[[[]],[]],[[]]] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => 0100010

[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => 0100010

[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => 0100010

[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => 0100001

[[[]],[[[]],[],[]],[]] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => 0100001

[[[]],[[[],[],[]]],[]] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => 0100001

[[[]],[[[[],[]]]],[]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => 0100001

[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => 0100001

[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => 0100000

[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => 0100000

[[[]],[[],[],[[],[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => 0100000

[[[]],[[],[],[[[]]]]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => 0100000

[[[]],[[],[[]],[[]]]] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => 0100000

[[[]],[[],[[[]]],[]]] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => 0100000

[[[]],[[],[[],[],[]]]] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => 0100000

[[[]],[[],[[],[[]]]]] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => 0100000

[[[]],[[],[[[],[]]]]] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => 0100000

[[[]],[[],[[[[]]]]]] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => 0100000

[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => 0100000

[[[]],[[[]],[],[[]]]] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => 0100000

[[[]],[[[]],[[]],[]]] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => 0100000

[[[]],[[[]],[[[]]]]] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => 0100000

[[[]],[[[],[],[]],[]]] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => 0100000

[[[]],[[[],[[]]],[]]] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => 0100000

[[[]],[[[[],[]]],[]]] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => 0100000

[[[]],[[[[[]]]],[]]] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => 0100000

[[[]],[[[],[],[],[]]]] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => 0100000

[[[]],[[[],[[]],[]]]] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => 0100000

[[[]],[[[],[[],[]]]]] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => 0100000

[[[]],[[[[]],[[]]]]] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => 0100000

[[[]],[[[[],[],[]]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => 0100000

[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => 0100000

[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => 0011111

[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => 0011111

[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => 0011110

[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => 0011110

[[[],[]],[],[],[[]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => 0011101

[[[[]]],[],[],[[]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => 0011101

[[[],[]],[],[],[[],[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => 0011100

[[[[]]],[],[],[[],[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => 0011100

[[[[]]],[],[],[[[]]]] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => 0011100

[[[],[]],[],[[]],[[]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => 0011010

[[[[]]],[],[[[]]],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => 0011001

[[[],[]],[],[[],[],[]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => 0011000

[[[],[]],[],[[[],[]]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => 0011000

[[[],[]],[],[[[[]]]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => 0011000

[[[[]]],[],[[],[[]]]] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => 0011000

[[[[]]],[],[[[],[]]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => 0011000

[[[[]]],[],[[[[]]]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => 0011000

[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => 0010111

[[[[]]],[[]],[],[],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => 0010111

[[[],[]],[[]],[[]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => 0010101

[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => 0010101

[[[],[]],[[],[]],[],[]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => 0010011

[[[],[]],[[[]]],[],[]] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => 0010011

[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => 0010011

[[[[]]],[[[]]],[],[]] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => 0010011

[[[],[]],[[[]]],[[]]] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => 0010010

[[[[]]],[[[]]],[[]]] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => 0010010

[[[],[]],[[],[],[]],[]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => 0010001

[[[],[]],[[[]],[]],[]] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => 0010001

[[[[]]],[[],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => 0010001

[[[[]]],[[[]],[]],[]] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => 0010001

[[[[]]],[[[[]]]],[]] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => 0010001

[[[],[]],[[],[],[],[]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => 0010000

[[[],[]],[[[]],[[]]]] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => 0010000

[[[],[]],[[[],[],[]]]] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => 0010000

[[[],[]],[[[],[[]]]]] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => 0010000

[[[],[]],[[[[]],[]]]] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => 0010000

[[[],[]],[[[[[]]]]]] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => 0010000

[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => 0010000

[[[[]]],[[],[],[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => 0010000

[[[[]]],[[],[[]],[]]] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => 0010000

[[[[]]],[[],[[],[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => 0010000

[[[[]]],[[],[[[]]]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => 0010000

[[[[]]],[[[]],[],[]]] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => 0010000

[[[[]]],[[[]],[[]]]] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => 0010000

[[[[]]],[[[],[]],[]]] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => 0010000

[[[[]]],[[[[]]],[]]] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => 0010000

[[[[]]],[[[],[],[]]]] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => 0010000

[[[[]]],[[[],[[]]]]] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => 0010000

[[[[]]],[[[[]],[]]]] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => 0010000

[[[[]]],[[[[],[]]]]] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => 0010000

[[[[]]],[[[[[]]]]]] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => 0010000

[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => 0001111

[[[],[[]]],[],[],[],[]] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => 0001111

[[[[]],[]],[],[],[],[]] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => 0001111

[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => 0001111

[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => 0001111

[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => 0001110

[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => 0001110

[[[[[]]]],[],[[]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => 0001101

[[[],[[]]],[],[[[]]]] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => 0001100

[[[[]],[]],[],[[[]]]] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => 0001100

[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => 0001100

[[[[[]]]],[],[[[]]]] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => 0001100

[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => 0001011

[[[],[[]]],[[]],[],[]] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => 0001011

[[[[]],[]],[[]],[],[]] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => 0001011

[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => 0001011

[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => 0001010

[[[[]],[]],[[]],[[]]] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => 0001010

[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => 0001010

[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => 0001010

[[[],[],[]],[[],[]],[]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => 0001001

[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => 0001001

[[[[[]]]],[[],[]],[]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => 0001001

[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => 0001001

[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => 0001000

[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => 0001000

[[[],[[]]],[[[]],[]]] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => 0001000

[[[],[[]]],[[[[]]]]] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => 0001000

[[[[]],[]],[[],[[]]]] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => 0001000

[[[[]],[]],[[[]],[]]] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => 0001000

[[[[]],[]],[[[],[]]]] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => 0001000

[[[[]],[]],[[[[]]]]] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => 0001000

[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => 0001000

[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => 0001000

[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => 0001000

[[[[[]]]],[[],[],[]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => 0001000

[[[[[]]]],[[],[[]]]] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => 0001000

[[[[[]]]],[[[]],[]]] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => 0001000

[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => 0001000

[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => 0001000

[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => 0000111

[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => 0000111

[[[],[[]],[]],[],[],[]] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => 0000111

[[[],[[],[]]],[],[],[]] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => 0000111

[[[],[[[]]]],[],[],[]] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => 0000111

[[[[]],[],[]],[],[],[]] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => 0000111

[[[[]],[[]]],[],[],[]] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => 0000111

[[[[],[]],[]],[],[],[]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => 0000111

[[[[[]]],[]],[],[],[]] => [[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => 0000111

[[[[],[],[]]],[],[],[]] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => 0000111

[[[[],[[]]]],[],[],[]] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => 0000111

[[[[[]],[]]],[],[],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => 0000111

[[[[[],[]]]],[],[],[]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => 0000111

[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => 0000111

[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => 0000110

[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => 0000110

[[[],[[]],[]],[],[[]]] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => 0000110

[[[],[[],[]]],[],[[]]] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => 0000110

[[[],[[[]]]],[],[[]]] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => 0000110

[[[[]],[[]]],[],[[]]] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => 0000110

[[[[],[],[]]],[],[[]]] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => 0000110

[[[[],[[]]]],[],[[]]] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => 0000110

[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => 0000110

[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => 0000110

[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => 0000110

[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => 0000101

[[[],[],[[]]],[[]],[]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => 0000101

[[[],[[]],[]],[[]],[]] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => 0000101

[[[],[[],[]]],[[]],[]] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => 0000101

[[[[]],[[]]],[[]],[]] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => 0000101

[[[[],[]],[]],[[]],[]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => 0000101

[[[[],[],[]]],[[]],[]] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => 0000101

[[[[],[[]]]],[[]],[]] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => 0000101

[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => 0000101

[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => 0000100

[[[],[],[],[]],[[[]]]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => 0000100

[[[],[],[[]]],[[[]]]] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => 0000100

[[[],[[]],[]],[[[]]]] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => 0000100

[[[],[[],[]]],[[],[]]] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => 0000100

[[[],[[],[]]],[[[]]]] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => 0000100

[[[],[[[]]]],[[[]]]] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => 0000100

[[[[]],[],[]],[[[]]]] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => 0000100

[[[[]],[[]]],[[],[]]] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => 0000100

[[[[]],[[]]],[[[]]]] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => 0000100

[[[[],[]],[]],[[[]]]] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => 0000100

[[[[[]]],[]],[[[]]]] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => 0000100

[[[[],[],[]]],[[[]]]] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => 0000100

[[[[],[[]]]],[[],[]]] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => 0000100

[[[[],[[]]]],[[[]]]] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => 0000100

[[[[[]],[]]],[[[]]]] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => 0000100

[[[[[],[]]]],[[[]]]] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => 0000100

[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => 0000100

[[[[[[]]]]],[[[]]]] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => 0000100

[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => 0000011

[[[],[],[],[[]]],[],[]] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => 0000011

[[[],[],[[]],[]],[],[]] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => 0000011

[[[],[[]],[[]]],[],[]] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => 0000011

[[[],[[],[],[]]],[],[]] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => 0000011

[[[],[[],[[]]]],[],[]] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => 0000011

[[[[]],[],[],[]],[],[]] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => 0000011

[[[[],[]],[],[]],[],[]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => 0000011

[[[[[]]],[],[]],[],[]] => [[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => 0000011

[[[[[]]],[[]]],[],[]] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => 0000011

[[[[],[],[]],[]],[],[]] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => 0000011

[[[[],[[]]],[]],[],[]] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => 0000011

[[[[[],[]]],[]],[],[]] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => 0000011

[[[[[[]]]],[]],[],[]] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => 0000011

[[[[],[],[],[]]],[],[]] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => 0000011

[[[[],[[[]]]]],[],[]] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => 0000011

[[[[[]],[[]]]],[],[]] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => 0000011

[[[[[[]]],[]]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => 0000011

[[[[[],[],[]]]],[],[]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => 0000011

[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => 0000011

[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => 0000011

[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => 0000011

[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => 0000010

[[[],[[]],[],[]],[[]]] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => 0000010

[[[],[[[[]]]]],[[]]] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => 0000010

[[[[]],[[]],[]],[[]]] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => 0000010

[[[[[]]],[],[]],[[]]] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => 0000010

[[[[[]]],[[]]],[[]]] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => 0000010

[[[[],[[]]],[]],[[]]] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => 0000010

[[[[[],[]]],[]],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => 0000010

[[[[[[]]]],[]],[[]]] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => 0000010

[[[[],[],[],[]]],[[]]] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => 0000010

[[[[],[[[]]]]],[[]]] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => 0000010

[[[[[]],[[]]]],[[]]] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => 0000010

[[[[[],[],[]]]],[[]]] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => 0000010

[[[[[],[[]]]]],[[]]] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => 0000010

[[[[[[]],[]]]],[[]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => 0000010

[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => 0000010

[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => 0000010

[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => 0000001

[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => 0000001

[[[],[],[],[[]],[]],[]] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => 0000001

[[[],[],[],[[[]]]],[]] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => 0000001

[[[],[],[[],[],[]]],[]] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => 0000001

[[[],[],[[],[[]]]],[]] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => 0000001

[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => 0000001

[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => 0000001

[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => 0000001

[[[],[[]],[[]],[]],[]] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => 0000001

[[[],[[[]]],[],[]],[]] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => 0000001

[[[],[[[]],[]],[]],[]] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => 0000001

[[[],[[],[[],[]]]],[]] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => 0000001

[[[],[[[],[]],[]]],[]] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => 0000001

[[[],[[[],[],[]]]],[]] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => 0000001

[[[],[[[],[[]]]]],[]] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => 0000001

[[[],[[[[],[]]]]],[]] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => 0000001

[[[],[[[[[]]]]]],[]] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => 0000001

[[[[]],[],[],[],[]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => 0000001

[[[[]],[],[[],[]]],[]] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => 0000001

[[[[]],[[]],[[]]],[]] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => 0000001

[[[[]],[[[]]],[]],[]] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => 0000001

[[[[]],[[],[],[]]],[]] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => 0000001

[[[[]],[[],[[]]]],[]] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => 0000001

[[[[]],[[[]],[]]],[]] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => 0000001

[[[[]],[[[],[]]]],[]] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => 0000001

[[[[]],[[[[]]]]],[]] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => 0000001

[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => 0000001

[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => 0000001

[[[[],[]],[[]],[]],[]] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => 0000001

[[[[[]]],[[]],[]],[]] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => 0000001

[[[[],[[]]],[],[]],[]] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => 0000001

[[[[[[]]]],[],[]],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => 0000001

[[[[],[],[]],[[]]],[]] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => 0000001

[[[[],[[]]],[[]]],[]] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => 0000001

[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => 0000001

[[[[[],[]]],[[]]],[]] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => 0000001

[[[[[[]]]],[[]]],[]] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => 0000001

[[[[],[],[],[]],[]],[]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => 0000001

[[[[],[],[[]]],[]],[]] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => 0000001

[[[[],[[]],[]],[]],[]] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => 0000001

[[[[[],[]],[]],[]],[]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => 0000001

[[[[[[]]],[]],[]],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => 0000001

[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => 0000001

[[[[[[],[]]]],[]],[]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => 0000001

[[[[[[[]]]]],[]],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => 0000001

[[[[],[],[],[],[]]],[]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => 0000001

[[[[],[],[[[]]]]],[]] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => 0000001

[[[[],[[]],[[]]]],[]] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => 0000001

[[[[],[[[]]],[]]],[]] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => 0000001

[[[[],[[],[],[]]]],[]] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => 0000001

[[[[],[[],[[]]]]],[]] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => 0000001

[[[[[]],[],[[]]]],[]] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => 0000001

[[[[[]],[[]],[]]],[]] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => 0000001

[[[[[]],[[[]]]]],[]] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => 0000001

[[[[[[]]],[],[]]],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => 0000001

[[[[[],[]],[[]]]],[]] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => 0000001

[[[[[[]],[]],[]]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => 0000001

[[[[[[],[]]],[]]],[]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => 0000001

[[[[[[[]]]],[]]],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => 0000001

[[[[[],[],[],[]]]],[]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => 0000001

[[[[[],[],[[]]]]],[]] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => 0000001

[[[[[],[[]],[]]]],[]] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => 0000001

[[[[[],[[],[]]]]],[]] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => 0000001

[[[[[],[[[]]]]]],[]] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => 0000001

[[[[[[]],[],[]]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => 0000001

[[[[[[]],[[]]]]],[]] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => 0000001

[[[[[[],[]],[]]]],[]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => 0000001

[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => 0000001

[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => 0000001

[[[[[[],[[]]]]]],[]] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => 0000001

[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => 0000001

[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => 0000001

[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => 0000001

[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => 0000000

[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => 0000000

[[[],[],[],[],[[]],[]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => 0000000

[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => 0000000

[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => 0000000

[[[],[],[],[[]],[],[]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => 0000000

[[[],[],[],[[]],[[]]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => 0000000

[[[],[],[],[[],[]],[]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => 0000000

[[[],[],[],[[[]]],[]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => 0000000

[[[],[],[],[[],[],[]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => 0000000

[[[],[],[],[[],[[]]]]] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => 0000000

[[[],[],[],[[[[]]]]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => 0000000

[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => 0000000

[[[],[],[[]],[[]],[]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => 0000000

[[[],[],[[]],[[[]]]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => 0000000

[[[],[],[[],[]],[],[]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => 0000000

[[[],[],[[[]]],[],[]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => 0000000

[[[],[],[[],[],[]],[]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => 0000000

[[[],[],[[],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => 0000000

[[[],[],[[[[]]]],[]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => 0000000

[[[],[],[[],[],[],[]]]] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => 0000000

[[[],[],[[],[],[[]]]]] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => 0000000

[[[],[],[[],[[[]]]]]] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => 0000000

[[[],[],[[[],[],[]]]]] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => 0000000

[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => 0000000

[[[],[[]],[],[],[],[]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => 0000000

[[[],[[]],[],[],[[]]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => 0000000

[[[],[[]],[],[[]],[]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => 0000000

[[[],[[]],[[]],[],[]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => 0000000

[[[],[[]],[[]],[[]]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => 0000000

[[[],[[]],[[],[]],[]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => 0000000

[[[],[[]],[[[]]],[]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => 0000000

[[[],[[]],[[],[],[]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => 0000000

[[[],[[]],[[],[[]]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => 0000000

[[[],[[]],[[[[]]]]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => 0000000

[[[],[[],[]],[],[],[]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => 0000000

[[[],[[[]]],[],[],[]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => 0000000

[[[],[[],[]],[],[[]]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => 0000000

[[[],[[[]]],[],[[]]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => 0000000

[[[],[[[]]],[[]],[]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => 0000000

[[[],[[],[]],[[],[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => 0000000

[[[],[[],[]],[[[]]]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => 0000000

[[[],[[[]]],[[],[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => 0000000

[[[],[[[]]],[[[]]]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => 0000000

[[[],[[],[],[]],[],[]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => 0000000

[[[],[[],[[]]],[],[]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => 0000000

[[[],[[[],[]]],[],[]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => 0000000

[[[],[[[[]]]],[],[]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => 0000000

[[[],[[],[],[]],[[]]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => 0000000

[[[],[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => 0000000

[[[],[[[[]]]],[[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => 0000000

[[[],[[],[],[],[]],[]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => 0000000

[[[],[[],[[]],[]],[]]] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => 0000000

[[[],[[],[[],[]]],[]]] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => 0000000

[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => 0000000

[[[],[[[[]],[]]],[]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => 0000000

[[[],[[[[[]]]]],[]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => 0000000

[[[],[[],[],[],[],[]]]] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => 0000000

[[[],[[],[],[],[[]]]]] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => 0000000

[[[],[[],[],[[],[]]]]] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => 0000000

[[[],[[],[[]],[],[]]]] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => 0000000

[[[],[[],[[]],[[]]]]] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => 0000000

[[[],[[],[[],[]],[]]]] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => 0000000

[[[],[[],[[[]]],[]]]] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => 0000000

[[[],[[],[[],[],[]]]]] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => 0000000

[[[],[[],[[],[[]]]]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => 0000000

[[[],[[],[[[],[]]]]]] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => 0000000

[[[],[[],[[[[]]]]]]] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => 0000000

[[[],[[[]],[[[]]]]]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => 0000000

[[[],[[[[]]],[],[]]]] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => 0000000

[[[],[[[],[]],[[]]]]] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => 0000000

[[[],[[[[]]],[[]]]]] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => 0000000

[[[],[[[],[],[],[]]]]] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => 0000000

[[[],[[[],[[[]]]]]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => 0000000

[[[],[[[[],[],[]]]]]] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => 0000000

[[[],[[[[],[[]]]]]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => 0000000

[[[],[[[[[]],[]]]]]] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => 0000000

[[[],[[[[[],[]]]]]]] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => 0000000

[[[],[[[[[[]]]]]]]] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => 0000000

[[[[]],[],[],[],[],[]]] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => 0000000

[[[[]],[],[],[[]],[]]] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => 0000000

[[[[]],[],[[[]]],[]]] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => 0000000

[[[[]],[],[[[[]]]]]] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => 0000000

[[[[]],[[]],[],[],[]]] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => 0000000

[[[[]],[[]],[[]],[]]] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => 0000000

[[[[]],[[[]]],[[]]]] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => 0000000

[[[[]],[[[],[]]],[]]] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => 0000000

[[[[]],[[[[]]]],[]]] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => 0000000

[[[[]],[[],[],[],[]]]] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => 0000000

[[[[]],[[],[[]],[]]]] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => 0000000

[[[[]],[[[],[[]]]]]] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => 0000000

[[[[]],[[[[[]]]]]]] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => 0000000

[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => 0000000

[[[[[]]],[],[],[],[]]] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => 0000000

[[[[],[]],[],[],[[]]]] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => 0000000

[[[[[]]],[],[],[[]]]] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => 0000000

[[[[[]]],[],[[]],[]]] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => 0000000

[[[[[]]],[],[[[]]]]] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => 0000000

[[[[[]]],[[]],[],[]]] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => 0000000

[[[[],[]],[[]],[[]]]] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => 0000000

[[[[[]]],[[]],[[]]]] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => 0000000

[[[[],[]],[[],[]],[]]] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => 0000000

[[[[],[]],[[[]]],[]]] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => 0000000

[[[[[]]],[[[]]],[]]] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => 0000000

[[[[],[]],[[[],[]]]]] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => 0000000

[[[[],[]],[[[[]]]]]] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => 0000000

[[[[[]]],[[],[[]]]]] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => 0000000

[[[[[]]],[[[],[]]]]] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => 0000000

[[[[[]]],[[[[]]]]]] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => 0000000

[[[[],[],[]],[],[],[]]] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => 0000000

[[[[],[[]]],[],[],[]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => 0000000

[[[[[[]]]],[],[],[]]] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => 0000000

[[[[[[]]]],[],[[]]]] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => 0000000

[[[[[]],[]],[[]],[]]] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => 0000000

[[[[[[]]]],[[]],[]]] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => 0000000

[[[[[]],[]],[[[]]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => 0000000

[[[[[],[]]],[[[]]]]] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => 0000000

[[[[[[]]]],[[],[]]]] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => 0000000

[[[[[[]]]],[[[]]]]] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => 0000000

[[[[],[],[],[]],[],[]]] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => 0000000

[[[[],[],[[]]],[],[]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => 0000000

[[[[[]],[],[]],[],[]]] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => 0000000

[[[[[[]]],[]],[],[]]] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => 0000000

[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => 0000000

[[[[[[[]]]]],[],[]]] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => 0000000

[[[[[]],[[]]],[[]]]] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => 0000000

[[[[[],[],[]]],[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => 0000000

[[[[[],[[]]]],[[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => 0000000

[[[[[[]],[]]],[[]]]] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => 0000000

[[[[[[[]]]]],[[]]]] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => 0000000

[[[[],[],[],[],[]],[]]] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => 0000000

[[[[],[],[],[[]]],[]]] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => 0000000

[[[[],[],[[]],[]],[]]] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => 0000000

[[[[],[[]],[[]]],[]]] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => 0000000

[[[[],[[],[]],[]],[]]] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => 0000000

[[[[],[[[]]],[]],[]]] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => 0000000

[[[[],[[],[[]]]],[]]] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => 0000000

[[[[[]],[[]],[]],[]]] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => 0000000

[[[[[]],[[],[]]],[]]] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => 0000000

[[[[[[]]],[],[]],[]]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => 0000000

[[[[[[]]],[[]]],[]]] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => 0000000

[[[[[],[[]]],[]],[]]] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => 0000000

[[[[[[]],[]],[]],[]]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => 0000000

[[[[[[[]]]],[]],[]]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => 0000000

[[[[[],[],[],[]]],[]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => 0000000

[[[[[],[[]],[]]],[]]] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => 0000000

[[[[[],[[],[]]]],[]]] => [.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => 0000000

[[[[[],[[[]]]]],[]]] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => 0000000

[[[[[[],[[]]]]],[]]] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => 0000000

[[[[[[[]],[]]]],[]]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => 0000000

[[[[[[[],[]]]]],[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => 0000000

[[[[[[[[]]]]]],[]]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => 0000000

[[[[],[],[],[],[],[]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => 0000000

[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => 0000000

[[[[],[],[],[[[]]]]]] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => 0000000

[[[[],[],[[]],[],[]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => 0000000

[[[[],[],[[[]]],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => 0000000

[[[[],[],[[],[],[]]]]] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => 0000000

[[[[],[],[[[[]]]]]]] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => 0000000

[[[[],[[[]]],[],[]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => 0000000

[[[[],[[[[]]]],[]]]] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => 0000000

[[[[],[[],[],[],[]]]]] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => 0000000

[[[[],[[],[],[[]]]]]] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => 0000000

[[[[],[[],[[],[]]]]]] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => 0000000

[[[[],[[],[[[]]]]]]] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => 0000000

[[[[],[[[],[[]]]]]]] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => 0000000

[[[[],[[[[],[]]]]]]] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => 0000000

[[[[],[[[[[]]]]]]]] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => 0000000

[[[[[]],[],[],[],[]]]] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => 0000000

[[[[[]],[],[],[[]]]]] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => 0000000

[[[[[]],[],[[]],[]]]] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => 0000000

[[[[[]],[],[[],[]]]]] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => 0000000

[[[[[]],[[]],[[]]]]] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => 0000000

[[[[[]],[[[]]],[]]]] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => 0000000

[[[[[]],[[],[],[]]]]] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => 0000000

[[[[[]],[[[[]]]]]]] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => 0000000

[[[[[[]]],[],[],[]]]] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => 0000000

[[[[[],[]],[],[[]]]]] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => 0000000

[[[[[[]]],[],[[]]]]] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => 0000000

[[[[[],[]],[[]],[]]]] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => 0000000

[[[[[],[]],[[],[]]]]] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => 0000000

[[[[[[]]],[[],[]]]]] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => 0000000

[[[[[[]]],[[[]]]]]] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => 0000000

[[[[[[[]]]],[],[]]]] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => 0000000

[[[[[],[],[]],[[]]]]] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => 0000000

[[[[[[],[]]],[[]]]]] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => 0000000

[[[[[[[]]]],[[]]]]] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => 0000000

[[[[[],[],[],[]],[]]]] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => 0000000

[[[[[[]],[],[]],[]]]] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => 0000000

[[[[[[]],[[]]],[]]]] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => 0000000

[[[[[[[]]],[]],[]]]] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => 0000000

[[[[[[],[],[]]],[]]]] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => 0000000

[[[[[[[],[]]]],[]]]] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => 0000000

[[[[[[[[]]]]],[]]]] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => 0000000

[[[[[],[],[],[],[]]]]] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => 0000000

[[[[[],[],[],[[]]]]]] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => 0000000

[[[[[],[],[[]],[]]]]] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => 0000000

[[[[[],[],[[],[]]]]]] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => 0000000

[[[[[],[],[[[]]]]]]] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => 0000000

[[[[[],[[]],[],[]]]]] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => 0000000

[[[[[],[[]],[[]]]]]] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => 0000000

[[[[[],[[],[]],[]]]]] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => 0000000

[[[[[],[[[]]],[]]]]] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => 0000000

[[[[[],[[],[],[]]]]]] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => 0000000

[[[[[],[[],[[]]]]]]] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => 0000000

[[[[[],[[[]],[]]]]]] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => 0000000

[[[[[],[[[],[]]]]]]] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => 0000000

[[[[[],[[[[]]]]]]]] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => 0000000

[[[[[[]],[],[],[]]]]] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => 0000000

[[[[[[]],[[]],[]]]]] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => 0000000

[[[[[[],[]],[],[]]]]] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => 0000000

[[[[[[[]]],[],[]]]]] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => 0000000

[[[[[[],[],[]],[]]]]] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => 0000000

[[[[[[],[[]]],[]]]]] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => 0000000

[[[[[[[]],[]],[]]]]] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => 0000000

[[[[[[[],[]]],[]]]]] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => 0000000

[[[[[[[[]]]],[]]]]] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => 0000000

[[[[[[],[],[],[]]]]]] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => 0000000

[[[[[[],[[]],[]]]]]] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => 0000000

[[[[[[],[[],[]]]]]]] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => 0000000

[[[[[[],[[[]]]]]]]] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => 0000000

[[[[[[[]],[],[]]]]]] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => 0000000

[[[[[[[]],[[]]]]]]] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => 0000000

[[[[[[[],[]],[]]]]]] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => 0000000

[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => 0000000

[[[[[[[],[],[]]]]]]] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => 0000000

[[[[[[[],[[]]]]]]]] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => 0000000

[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => 0000000

[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => 0000000

[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => 0000000

[[],[[],[[],[[],[[],[]]]]]] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => 100000000

Map

to binary tree: left brother = left child

Description

Return a binary tree of size

$n-1$ (where

$n$ is the size of

$t$ , and where

$t$ is an ordered tree) by the following recursive rule:
- if

$x$ is the left brother of

$y$ in

$t$ , then

$x$ becomes the left child of

$y$ ;
- if

$x$ is the last child of

$y$ in

$t$ , then

$x$ becomes the right child of

$y$ ,
and removing the root of

$t$ .

Map

to 312-avoiding permutation

Description

Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.

Map

connectivity set

Description

The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is

$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$
For

$n > 1$ it can also be described as the set of occurrences of the mesh pattern

$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$
or equivalently

$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$
see [3].
The permutation is connected, when the connectivity set is empty.