Identifier
-
Mp00297:
Parking functions
—ordered tree⟶
Ordered trees
Mp00051: Ordered trees —to Dyck path⟶ Dyck paths
Mp00123: Dyck paths —Barnabei-Castronuovo involution⟶ Dyck paths
St001232: Dyck paths ⟶ ℤ
Values
[1] => [[]] => [1,0] => [1,0] => 0
[1,1] => [[],[]] => [1,0,1,0] => [1,0,1,0] => 1
[1,2] => [[[]]] => [1,1,0,0] => [1,1,0,0] => 0
[2,1] => [[[]]] => [1,1,0,0] => [1,1,0,0] => 0
[1,1,1] => [[],[],[]] => [1,0,1,0,1,0] => [1,1,0,1,0,0] => 2
[1,1,2] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[1,2,1] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[2,1,1] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[1,1,3] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[3,1,1] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[1,2,2] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[2,1,2] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[2,2,1] => [[],[[]]] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => 1
[1,3,2] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[2,1,3] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[2,3,1] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[3,1,2] => [[[[]]]] => [1,1,1,0,0,0] => [1,1,1,0,0,0] => 0
[1,1,2,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,2,1,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,1,3,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,3,1,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,1,4,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,4,1,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,2,2,1] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[2,1,1,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,1,2,3] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,1,3,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,2,1,3] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,3,1,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,3,2,1] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[2,1,1,3] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,1,3,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,3,1,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[3,1,1,2] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[3,1,2,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[3,2,1,1] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,1,2,4] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,1,4,2] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,2,1,4] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,2,4,1] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[1,4,1,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,1,1,4] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,1,4,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,4,1,1] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[4,1,1,2] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[4,1,2,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[4,2,1,1] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[1,3,3,1] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[3,1,1,3] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[1,1,3,4] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,1,4,3] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,3,1,4] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[1,4,1,3] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[3,1,1,4] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[3,4,1,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[4,1,1,3] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[4,3,1,1] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[2,1,2,2] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[2,2,1,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,2,2,3] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,3,2,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,1,2,3] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[2,2,1,3] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,2,3,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,3,2,1] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[3,1,2,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[3,2,2,1] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,2,2,4] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[1,2,4,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,4,2,2] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[2,1,2,4] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,1,4,2] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[2,2,1,4] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[2,2,4,1] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[2,4,2,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[4,1,2,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[4,2,1,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[4,2,2,1] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[1,2,3,3] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,3,2,3] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,3,3,2] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[2,1,3,3] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[2,3,1,3] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,3,3,1] => [[[]],[[]]] => [1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => 2
[3,1,2,3] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[3,1,3,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[3,2,3,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[3,3,1,2] => [[],[[[]]]] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => 1
[3,3,2,1] => [[],[[],[]]] => [1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0] => 2
[1,2,4,3] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,3,4,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,4,3,2] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[2,1,3,4] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[2,3,1,4] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[2,4,3,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[3,1,2,4] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[3,2,4,1] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[3,4,2,1] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[4,1,2,3] => [[[[],[]]]] => [1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[4,2,1,3] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[4,3,1,2] => [[[[[]]]]] => [1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => 0
>>> Load all 8621 entries. <<<[1,1,2,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,1,2,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,2,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,3,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,2,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,2,1,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,3,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,3,1,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,1,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,2,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,1,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,3,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,1,2,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,1,2,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,4,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,4,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,2,4,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,4,2,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,1,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,2,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,1,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,1,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,5,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,5,1,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,5,1,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,5,2,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,1,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,5,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,1,1,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,1,2,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,3,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,1,3,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,4,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,1,1,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,1,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,4,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,4,3,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,3,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,3,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,1,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,1,5,1,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,3,1,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,5,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,1,1,3,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,1,4,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,4,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,4,5,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,5,1,1,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,5,1,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,4,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,1,5,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1,5,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,1,4,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,1,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,1,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,2,1,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,2,3,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,3,1,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,2,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,2,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,1,2,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,1,3,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,2,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,1,3,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,2,1,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,3,2,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,2,2,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,2,1,1,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,1,2,4,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,2,1,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,2,4,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,1,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,4,2,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,2,2,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,1,2,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,1,4,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,2,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,4,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,2,1,4,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,4,1,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,4,1,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,2,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,2,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,2,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,1,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,1,2,5,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,2,1,5,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,2,1,5] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,2,5,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,5,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,5,2,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,5,2,2,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,1,2,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,1,5,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,2,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,5,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,2,1,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,5,1,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,5,1,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,5,2,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,1,2,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,1,2,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,2,1,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,2,1,2,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,1,3,2,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,3,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,1,2,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,2,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,3,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,3,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,3,3,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,3,1,1,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,3,1,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,1,2,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,3,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,1,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,1,1,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,2,3,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,3,1,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,4,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,2,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,4,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,2,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,3,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,2,1,4,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,4,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,4,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,1,4,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,2,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,4,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,4,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,2,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,4,3,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,1,3,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,1,4,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,3,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,3,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,4,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,3,1,1,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,3,1,4,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,3,4,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,4,3,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,1,1,2,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,4,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,1,2,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,2,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,4,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,1,1,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,2,4,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,4,2,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,1,3,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,2,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,1,3,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,1,1,3] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,3,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,1,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,1,2,3,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,5,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,2,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,5,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,5,2,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,3,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,2,1,5,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,2,5,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,2,5,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,1,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,1,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,2,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,5,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,1,3,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,1,5,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,5,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,1,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,5,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,5,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,5,1,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,5,1,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,5,3,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,2,5] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,5,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,2,1,1,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,2,5,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,5,2,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,1,1,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,1,2,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,2,1,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,2,1,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,2,3,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,2,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,1,4,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,1,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,2,4,4,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,4,4,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,4,4,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,4,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,2,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,1,4,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,1,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,4,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,4,1,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,2,4,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,5,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,2,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,5,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,5,2,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,4,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,5,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,4,1,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,5,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,5,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,2,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,5,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,2,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,5,2,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,2,4,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,5,4,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,1,4,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,1,5,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,4,1,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,1,4,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,5,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,1,1,5] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,4,5,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,2,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,1,1,5,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,1,2,1,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,5,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,1,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,2,5,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,5,2,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,1,1,2,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,1,1,4,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[5,1,2,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,1,4,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,1,4,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,2,1,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,2,4,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,1,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,3,1,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,3,3,1,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,3,1,3,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,4,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,1,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,3,1,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,3,4,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,3,4,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,1,3,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,4,3,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,3,3,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,1,1,3,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,4,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,1,3,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,4,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,3,1,4,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,4,1,1,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,4,1,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,3,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1,3,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,3,3,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,3,1,1,3] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,3,1,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,1,3,5,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,3,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,1,5,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,5,3,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,3,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,1,4,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,4,1,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,4,4,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,4,4,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,4,4,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,4,1,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,3,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,1,4,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,1,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,3,1,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,4,1,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,4,1,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,3,4,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,1,3,5,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,3,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,4,5,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,5,3,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,5,4,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,3,1,4,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,1,5,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,4,1,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,3,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,3,5,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,5,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,4,5,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,3,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,1,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,5,4,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,1,4,5] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,1,5,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,1,1,5] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,4,1,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,5,1,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,5,4,1,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1,1,5,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,1,5,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,1,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,5,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,5,1,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,5,1,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,5,3,1,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,1,1,3,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,1,1,4,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[5,1,4,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,3,4,1,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,4,1,1,3] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,4,1,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,2,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,3,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,2,2,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,1,2,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,1,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,3,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,3,2,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,3,1,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,3,2,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,2,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,4,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,1,2,2,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,2,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,4,2,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,2,1,2,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,1,4,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,4,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,4,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,4,1,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,4,2,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,2,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,2,1,2,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,2,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,5,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,2,2,5] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,2,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,5,2,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,2,1,2,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,1,5,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,5,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,5,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,5,1,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,2,1,2,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[5,2,2,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,2,2,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,2,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,2,3,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,3,1,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,3,2,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,3,1,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,1,2,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,1,3,2,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,2,2,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,2,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,2,3,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,3,2,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,4,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,2,2,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,4,2,2,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,4,2,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,3,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,4,2,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,2,1,3,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,1,4,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,3,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,3,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,4,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,4,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,3,1,4,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,2,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,2,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,1,2,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,4,2,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,3,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,2,2,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,4,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,2,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,2,4,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,2,4,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,1,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,4,2,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,1,2,2,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,2,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,1,3,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,2,1,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,1,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,2,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,2,2,3,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,2,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,1,2,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,2,2,3,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,5,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,5,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,2,2,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,2,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,5,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,5,2,2,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,5,2,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,2,3,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,1,2,5,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,3,5,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,1,5,2,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,2,1,3,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,1,5,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,3,1,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,3,5,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,5,1,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,2,5,3,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,3,1,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,2,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,2,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,3,5,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,5,1,2,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,5,1,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,5,3,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,5,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,2,2,5] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,1,2,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,5,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,2,2,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,2,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,2,5,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,5,1,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,5,2,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,5,2,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,1,2,2,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,1,2,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,1,3,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,2,1,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,2,1,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,2,2,1,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[5,2,2,3,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,2,3,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,2,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,3,1,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,3,2,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,3,2,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,2,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,4,4,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,4,2,2,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,4,2,4,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,1,2,4,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,1,4,2,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,4,4,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,2,4,1,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,4,1,4,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,2,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,4,1,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,4,4,2,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1,2,2,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,1,2,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,4,2,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,2,1,2,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,2,1,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,2,2,4,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,4,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,4,2,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,2,4,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,2,2,5,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,5,2,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,5,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,5,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,5,2,2,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,1,2,4,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,4,2,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,4,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,5,2,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,2,1,4,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,1,5,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,4,1,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,2,4,5,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,5,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,2,5,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,2,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,1,5,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,4,2,1,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,4,5,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,5,1,2,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,5,4,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,1,5,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,2,1,5] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,2,2,5,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,5,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,5,2,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,5,1,2,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,5,2,2,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,1,4,2,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,2,1,2,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,2,2,1,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,2,2,4,1] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[5,2,4,2,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,4,1,2,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,4,2,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,3,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,3,2,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,3,1,3,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,3,3,1,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,1,2,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,2,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,3,3,2] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,2,3,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,2,3,3,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,3,1,2,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,3,1,3,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,3,2,1,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,2,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,4,3,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,2,3,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,3,2,4] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[1,3,3,4,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,3,4,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,3,4,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,4,2,3,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,4,3,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,3,3,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,1,4,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,3,3,1,4] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[2,3,3,4,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,3,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,1,2,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,3,2,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,4,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,3,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,2,3,4,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,2,4,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,3,1,2,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,3,1,4,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,2,1,4] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,2,4,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,3,4,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,4,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,4,1,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,2,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,2,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,3,3,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,3,3] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,3,1,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,3,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,5,3,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,3,2,5,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,3,2,5] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,3,3,5,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,5,2,3,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,5,3,3,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,1,3,3,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,5,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,3,1,3,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,3,5,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,5,1,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,5,3,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,2,3,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,3,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,3,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,3,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,3,5,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,5,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,5,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,3,1,2,5] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,3,1,5,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,2,1,5] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,2,5,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,3,5,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,3,5,2,1] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,5,2,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,5,3,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,5,3,2,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,1,2,3,3] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,3,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,2,3,3,1] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,3,2,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,3,3,1,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[5,3,3,2,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,4,3] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,3,4,4,2] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,4,2,3,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,2,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,3,2,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,3,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,4,2,3] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[1,4,4,3,2] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,4,4] => [[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,3,1,4,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[2,4,1,4,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,3,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,3,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,4,1,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[2,4,4,3,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,1,2,4,4] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,2,4,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,4,4,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,4,1,4,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,4,2,1,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,2,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,4,4,1,2] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[3,4,4,2,1] => [[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1,2,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,1,3,2,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,3,4,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,1,3,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,2,1,4,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,3,4,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,4,1,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,3,1,2,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,3,1,4,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,4,1,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,4,1,2,3] => [[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => 2
[4,4,1,3,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,4,2,1,3] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,4,2,3,1] => [[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,4,3,1,2] => [[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,2,4,3,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,2,5,4,3] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,2,5,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,3,4,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,3,4,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,4,2,3,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,4,5,3,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,5,2,3,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,5,2,4,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,3,4,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,4,5,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,1,5,3,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,3,1,5,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,5,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,3,5,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[2,4,1,5,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,3,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,5,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,5,1,3,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,5,4,3,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,1,2,4,5] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,1,2,5,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,1,4,5,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,2,4,1,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,2,4,5,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,2,5,1,4] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,4,1,5,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,4,2,1,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,4,2,5,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,5,2,1,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,4,1,2] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[3,5,4,2,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,2,3,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,1,5,3,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,2,1,3,5] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,3,5,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,2,5,1,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,3,1,2,5] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,3,1,5,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,3,5,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,5,1,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[4,5,2,1,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[4,5,3,2,1] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,1,4,2,3] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,1,4,3,2] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,2,1,3,4] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,2,4,3,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,3,2,1,4] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,3,2,4,1] => [[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 0
[5,3,4,1,2] => [[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 4
[5,4,1,2,3] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[5,4,2,3,1] => [[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,1,2,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,2,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,2,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,6,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,1,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,6,1,1,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,1,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,6,1,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,3,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,1,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,1,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,1,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,1,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,1,1,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,1,1,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,6,1,1,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,1,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,1,1,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,5,1,1,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,1,1,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,6,1,1,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,1,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,5,1,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,2,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,1,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,2,1,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,1,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,2,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,2,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,2,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,2,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,2,1,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,1,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,2,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,1,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,2,1,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,1,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,1,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,2,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,1,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,2,1,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,1,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,5,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,1,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,2,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,2,1,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,2,1,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,6,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,6,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,1,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,6,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,2,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,1,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,2,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,1,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,1,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,1,2,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,1,2,1,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,2,1,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,2,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,3,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,3,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,1,1,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,3,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,3,1,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,1,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,1,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,1,1,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,1,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,3,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,4,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,3,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,1,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,4,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,2,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,1,1,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,3,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,1,1,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,2,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,4,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,1,1,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,1,1,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,2,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,1,3,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,3,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,3,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,2,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,2,1,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,1,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,3,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,5,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,3,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,1,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,3,5,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,1,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,1,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,5,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,1,1,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,2,1,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,2,3,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,3,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,5,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,1,3,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,5,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,5,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,5,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,5,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,1,1,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,1,2,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,3,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,1,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,1,1,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,1,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,3,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,6,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,6,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,6,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,6,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,1,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,6,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,6,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,3,6,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,6,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,1,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,1,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,1,2,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,1,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,3,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,3,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,6,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,3,1,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,3,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,1,1,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,2,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,2,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,6,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,1,1,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,1,1,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,1,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,1,2,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,1,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,3,1,1,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,1,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,2,4,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,2,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,1,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,4,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,4,1,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,1,4,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,4,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,4,1,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,1,2,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,2,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,2,1,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,2,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,2,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,1,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,2,1,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,4,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,4,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,5,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,5,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,5,4,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,1,2,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,5,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,1,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,1,4,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,2,1,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,4,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,4,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,5,1,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,1,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,2,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,1,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,5,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,1,1,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,2,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,2,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,1,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,6,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,6,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,6,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,6,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,1,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,1,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,4,1,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,4,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,6,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,1,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,1,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,2,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,1,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,1,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,6,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,6,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,4,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,1,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,1,2,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,6,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,1,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,2,1,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,6,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,6,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,6,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,1,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,6,1,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,2,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,1,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,1,4,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,1,4,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,2,1,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,2,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,2,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,2,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,1,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,1,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,4,1,1,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,2,5,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,5,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,1,2,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,5,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,5,5,1,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,1,5,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,5,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,5,5,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,1,2,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,5,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,5,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,2,1,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,5,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,5,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,1,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,1,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,5,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,5,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,6,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,6,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,1,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,2,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,6,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,5,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,1,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,5,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,6,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,6,1,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,5,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,1,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,6,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,6,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,6,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,1,1,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,5,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,5,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,5,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,1,6,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,1,1,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,2,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,2,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,6,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,1,6,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,2,1,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,2,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,6,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,6,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,1,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,6,1,1,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,1,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,1,2,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,1,5,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,1,5,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,2,1,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,2,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,5,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,5,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,5,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,1,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,1,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,1,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,3,1,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,3,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,1,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,3,3,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,1,3,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,3,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,4,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,4,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,1,1,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,1,3,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,1,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,3,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,5,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,3,1,1,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,3,1,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,1,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,1,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,1,3,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,3,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,5,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,5,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,1,1,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,3,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,3,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,3,1,3,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,6,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,1,1,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,1,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,3,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,3,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,6,1,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,1,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,3,1,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,3,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,4,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,1,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,1,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,4,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,4,1,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,1,4,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,1,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,1,3,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,3,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,3,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,3,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,1,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,3,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,4,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,1,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,5,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,5,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,3,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,3,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,1,1,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,1,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,4,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,1,5,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,1,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,3,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,3,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,3,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,5,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,1,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,1,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,1,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,4,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,5,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,4,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,5,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,1,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,1,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,1,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,3,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,3,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,5,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,1,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,5,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,1,1,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,1,3,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,3,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,1,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,4,1,1,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,3,1,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,6,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,1,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,1,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,6,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,6,3,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,6,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,4,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,4,1,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,3,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,1,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,1,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,1,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,3,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,4,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,4,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,6,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,4,6,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,1,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,1,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,3,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,3,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,3,6,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,6,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,3,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,3,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,4,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,4,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,3,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,4,3,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,1,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,3,1,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,1,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,4,1,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,5,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,1,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,3,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,5,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,1,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,5,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,5,5,1,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,5,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,5,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,1,3,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,1,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,5,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,3,1,5,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,1,5,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,1,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,6,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,6,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,1,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,6,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,6,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,6,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,3,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,5,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,1,5,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,1,6,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,1,5,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,1,6,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,1,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,1,3,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,6,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,6,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,6,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,1,5,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,3,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,5,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,1,5,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,5,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,6,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,6,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,5,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,1,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,6,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,1,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,6,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,6,1,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,6,1,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,1,3,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,5,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,5,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,1,1,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,1,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,1,1,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,1,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,4,1,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,5,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,4,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,1,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,1,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,5,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,5,4,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,1,4,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,5,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,1,1,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,1,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,4,1,4,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,1,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,4,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,1,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,1,6,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,1,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,1,4,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,6,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,4,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,6,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,6,1,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,4,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,4,4,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,1,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,4,1,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,5,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,1,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,1,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,4,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,5,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,1,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,1,1,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,4,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,1,5,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,1,5,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,1,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,1,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,1,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,5,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,1,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,1,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,4,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,6,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,1,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,4,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,5,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,1,1,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,1,1,6,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,1,5,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,5,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,5,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,1,4,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,1,1,6,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,6,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,4,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,6,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,6,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,1,1,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,1,1,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,1,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,5,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,5,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,4,5,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,6,5,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,5,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,1,5,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,5,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,6,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,6,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,5,6,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,6,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,1,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,1,5,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,4,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,6,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,6,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,6,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,1,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,1,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,6,1,1,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,1,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,1,4,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,5,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,4,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,4,5,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,1,5,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,5,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,1,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,1,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,3,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,1,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,2,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,2,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,3,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,2,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,2,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,4,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,2,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,1,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,4,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,2,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,2,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,2,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,2,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,1,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,2,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,2,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,2,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,1,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,1,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,5,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,1,2,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,2,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,5,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,2,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,1,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,1,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,2,2,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,6,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,2,1,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,1,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,6,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,6,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,6,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,2,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,1,2,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,2,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,2,1,2,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,2,1,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,2,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,2,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,1,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,3,2,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,1,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,2,3,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,2,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,2,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,3,2,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,3,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,3,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,3,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,3,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,2,1,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,1,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,2,1,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,3,1,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,2,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,3,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,2,1,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,3,1,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,3,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,2,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,1,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,3,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,4,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,2,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,3,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,1,4,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,2,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,2,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,2,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,1,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,4,2,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,2,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,2,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,1,2,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,3,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,4,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,4,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,2,1,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,1,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,2,1,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,2,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,1,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,2,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,3,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,3,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,1,2,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,2,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,1,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,1,1,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,2,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,4,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,2,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,1,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,1,3,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,3,2,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,1,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,2,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,2,3,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,3,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,5,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,5,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,2,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,2,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,3,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,3,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,1,5,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,1,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,3,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,1,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,2,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,2,2,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,5,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,2,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,5,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,2,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,3,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,3,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,2,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,2,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,3,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,3,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,5,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,5,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,3,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,3,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,5,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,2,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,3,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,5,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,1,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,2,1,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,2,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,5,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,2,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,3,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,2,2,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,5,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,1,1,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,2,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,5,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,5,2,1,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,2,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,1,2,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,1,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,3,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,3,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,3,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,2,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,3,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,2,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,3,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,6,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,6,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,2,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,2,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,1,3,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,2,1,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,1,6,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,3,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,6,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,6,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,2,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,1,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,6,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,2,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,2,2,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,6,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,6,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,2,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,3,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,3,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,2,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,3,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,3,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,6,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,3,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,1,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,1,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,6,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,1,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,2,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,6,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,6,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,1,1,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,1,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,6,1,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,2,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,2,6,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,6,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,6,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,1,1,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,1,1,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,2,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,6,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,6,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,6,2,1,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,2,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,2,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,1,3,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,1,1,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,2,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,1,3,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,2,2,1,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,3,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,2,3,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,1,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,2,1,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,2,1,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,2,4,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,2,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,4,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,1,4,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,2,4,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,4,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,4,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,4,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,2,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,1,4,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,4,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,4,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,2,1,4,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,1,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,4,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,2,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,4,4,1,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,2,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,2,2,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,2,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,2,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,4,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,2,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,1,1,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,2,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,4,1,2,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,2,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,4,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,5,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,5,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,2,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,4,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,5,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,1,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,2,1,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,1,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,4,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,5,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,1,5,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,4,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,5,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,1,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,2,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,5,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,5,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,1,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,4,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,2,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,2,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,4,2,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,4,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,5,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,5,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,2,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,2,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,4,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,1,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,2,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,5,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,5,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,2,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,4,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,4,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,1,2,2,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,2,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,2,1,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,5,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,1,1,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,2,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,5,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,5,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,5,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,2,1,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,2,2,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,1,2,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,2,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,4,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,4,2,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,1,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,1,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,2,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,4,2,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,1,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,2,4,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,6,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,6,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,4,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,1,4,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,6,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,6,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,4,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,2,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,2,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,4,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,6,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,2,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,2,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,4,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,2,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,6,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,2,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,6,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,1,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,2,1,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,1,6,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,1,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,2,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,6,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,1,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,1,1,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,2,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,2,4,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,2,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,2,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,6,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,6,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,6,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,1,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,2,1,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,6,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,6,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,6,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,2,1,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,2,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,1,2,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,2,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,2,2,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,2,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,4,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,2,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,1,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,1,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,2,1,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,2,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,1,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,2,5,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,5,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,1,5,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,1,5,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,2,5,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,2,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,5,5,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,5,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,5,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,1,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,5,1,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,5,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,5,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,2,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,2,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,2,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,5,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,5,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,2,1,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,5,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,5,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,1,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,2,1,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,5,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,6,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,6,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,2,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,5,2,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,1,6,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,1,6,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,2,1,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,1,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,5,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,5,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,6,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,6,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,1,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,2,2,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,6,1,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,6,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,6,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,1,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,5,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,6,2,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,2,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,2,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,5,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,5,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,1,2,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,2,6,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,5,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,6,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,2,5,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,2,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,6,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,1,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,2,1,5,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,5,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,1,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,2,1,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,2,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,2,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,6,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,6,1,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,6,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,1,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,2,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,5,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,5,1,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,1,2,2,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,1,2,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,2,1,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,2,2,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,2,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,6,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,1,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,2,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,2,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,6,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,6,1,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,2,1,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,2,2,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,1,1,2,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,2,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,1,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,2,2,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,5,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,5,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,1,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,1,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,1,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,2,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,5,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,5,1,1,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,5,2,1,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,3,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,3,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,1,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,2,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,3,1,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,2,1,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,3,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,3,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,3,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,3,3,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,3,1,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,1,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,2,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,4,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,4,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,3,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,1,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,1,4,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,3,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,1,4,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,1,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,3,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,2,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,2,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,4,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,4,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,4,3,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,3,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,3,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,3,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,3,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,3,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,3,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,1,3,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,3,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,3,1,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,3,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,3,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,4,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,4,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,1,4,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,4,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,1,1,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,3,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,3,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,3,1,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,4,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,2,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,4,1,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,1,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,3,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,3,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,1,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,3,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,3,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,2,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,2,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,5,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,3,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,1,5,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,5,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,5,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,5,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,2,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,2,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,3,1,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,2,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,3,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,3,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,3,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,3,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,3,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,3,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,3,1,1,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,3,1,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,5,1,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,2,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,3,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,3,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,5,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,5,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,2,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,5,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,1,1,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,3,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,3,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,5,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,5,1,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,3,1,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,5,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,1,1,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,2,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,2,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,3,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,3,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,1,3,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,3,3,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,2,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,3,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,1,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,2,1,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,3,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,3,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,1,1,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,3,2,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,3,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,3,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,2,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,2,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,6,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,6,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,1,3,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,6,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,2,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,6,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,6,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,3,1,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,1,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,2,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,2,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,6,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,6,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,6,1,3,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,2,1,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,3,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,3,3,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,3,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,1,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,3,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,1,3,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,1,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,3,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,3,1,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,6,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,6,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,1,3,1,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,6,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,3,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,3,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,3,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,6,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,6,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,1,1,3,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,1,1,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,3,1,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,3,1,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,6,1,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,6,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,3,1,2,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,6,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,6,1,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,1,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,2,1,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,2,3,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,3,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,3,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,3,2,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,1,1,3,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,1,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,3,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,3,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,3,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,1,1,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,1,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,2,1,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,2,1,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,2,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,3,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,1,4,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,3,1,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,4,4,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,1,2,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,4,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,4,4,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,3,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,3,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,3,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,4,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,3,4,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,4,1,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,3,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,1,4,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,4,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,4,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,4,4,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,4,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,1,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,1,1,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,1,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,3,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,4,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,3,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,1,4,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,1,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,4,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,4,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,4,4,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,4,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,4,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,4,1,1,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,1,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,4,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,4,2,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,2,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,3,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,3,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,3,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,1,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,1,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,4,1,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,3,1,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,3,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,4,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,5,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,5,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,2,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,2,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,4,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,5,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,2,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,4,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,1,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,1,5,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,4,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,4,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,5,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,3,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,5,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,3,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,4,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,1,4,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,3,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,1,3,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,4,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,4,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,5,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,1,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,1,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,5,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,5,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,4,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,1,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,3,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,3,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,3,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,4,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,4,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,2,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,4,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,5,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,5,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,1,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,1,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,1,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,5,2,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,5,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,1,1,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,4,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,4,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,5,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,5,1,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,5,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,1,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,2,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,5,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,1,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,1,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,2,1,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,2,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,5,4,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,5,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,3,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,1,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,1,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,2,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,5,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,5,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,5,1,1,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,2,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,3,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,4,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,1,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,2,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,3,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,4,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,2,1,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,4,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,2,3,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,6,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,2,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,6,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,6,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,2,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,3,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,4,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,1,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,3,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,4,3,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,6,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,4,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,6,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,2,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,6,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,2,6,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,1,3,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,1,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,3,1,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,2,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,2,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,2,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,3,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,3,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,3,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,3,4,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,3,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,4,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,1,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,6,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,1,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,1,1,4,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,4,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,6,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,6,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,1,1,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,1,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,3,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,6,3,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,1,1,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,6,1,1,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,1,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,2,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,4,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,4,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,6,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,1,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,6,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,1,1,4,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,4,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,4,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,6,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,6,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,6,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,1,6,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,1,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,2,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,6,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,6,1,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,1,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,2,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,6,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,1,6,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,2,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,1,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,2,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,6,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,6,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,6,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,6,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,6,2,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,1,1,3,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,6,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,1,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,1,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,6,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,6,1,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,2,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,6,2,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,3,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,3,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,3,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,2,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,1,3,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,4,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,2,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,4,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,1,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,1,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,3,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,4,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,3,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,1,1,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,2,1,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,2,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,4,2,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,1,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,1,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,5,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,5,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,2,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,2,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,1,5,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,5,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,3,1,5,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,5,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,5,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,5,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,1,2,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,5,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,1,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,5,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,3,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,5,1,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,5,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,5,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,5,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,1,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,5,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,5,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,5,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,5,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,1,5,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,5,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,3,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,1,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,5,2,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,2,1,5,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,5,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,5,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,5,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,1,5,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,1,5,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,2,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,2,1,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,5,1,1,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,5,5,1,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,1,2,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,2,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,3,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,1,3,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,5,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,5,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,2,1,3,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,2,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,2,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,3,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,5,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,1,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,5,1,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,3,2,1,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,5,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,3,5,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,5,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,5,1,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,1,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,3,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,2,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,3,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,3,6,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,5,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,5,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,6,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,6,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,2,5,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,2,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,6,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,2,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,3,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,3,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,6,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,6,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,6,2,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,6,5,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,3,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,1,5,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,1,6,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,3,1,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,5,3,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,1,3,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,6,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,2,5,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,1,2,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,6,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,1,5,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,6,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,6,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,6,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,1,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,3,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,6,1,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,6,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,6,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,3,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,1,5,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,3,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,3,2,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,3,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,1,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,5,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,1,3,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,1,3,6,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,5,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,5,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,6,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,1,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,5,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,3,6,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,3,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,6,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,1,6,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,6,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,6,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,5,1,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,5,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,6,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,3,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,6,1,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,6,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,1,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,3,5,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,5,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,5,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,2,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,2,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,5,6,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,6,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,1,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,1,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,5,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,1,1,5,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,5,1,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,6,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,6,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,6,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,1,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,1,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,1,6,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,2,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,6,2,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,1,5,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,2,1,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,5,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,3,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,6,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,6,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,2,1,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,6,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,2,6,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,2,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,6,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,6,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,6,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,6,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,3,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,3,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,6,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,3,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,3,1,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,3,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,2,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,6,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,3,6,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,1,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,6,2,1,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,6,2,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,2,3,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,6,3,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,2,5,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,1,3,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,1,5,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,5,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,2,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,2,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,5,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,5,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,5,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,5,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,1,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,1,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,1,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,1,5,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,3,1,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,3,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,2,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,5,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,5,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,5,2,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,1,1,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,1,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,5,1,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,2,1,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,2,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,4,1,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,4,4,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,4,1,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,2,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,4,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,4,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,4,4,1,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,4,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,1,4,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,4,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,4,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,4,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,1,4,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,4,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,4,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,2,4,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,4,1,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,4,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,1,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,4,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,2,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,2,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,5,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,4,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,1,5,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,4,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,4,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,4,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,2,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,5,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,1,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,4,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,4,5,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,5,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,4,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,4,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,4,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,4,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,4,1,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,4,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,4,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,5,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,1,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,1,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,4,1,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,4,1,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,4,1,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,5,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,5,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,4,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,4,4,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,2,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,5,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,4,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,5,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,1,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,1,4,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,4,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,4,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,4,1,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,4,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,5,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,4,1,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,1,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,5,1,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,1,1,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,1,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,2,1,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,2,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,2,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,4,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,4,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,1,4,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,2,1,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,1,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,1,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,2,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,4,1,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,2,4,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,2,4,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,6,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,1,4,4,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,1,4,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,1,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,4,1,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,4,4,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,6,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,1,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,6,4,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,2,4,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,1,2,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,4,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,4,1,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,1,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,4,2,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,4,2,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,6,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,6,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,1,2,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,4,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,2,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,1,4,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,4,1,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,1,6,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,4,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,4,4,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,6,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,4,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,1,1,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,4,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,4,1,1,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,4,4,1,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,6,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,4,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,4,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,6,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,1,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,1,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,4,2,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,4,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,6,1,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,6,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,4,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,2,1,1,4,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,4,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,6,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,6,1,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,4,1,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,2,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,1,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,6,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,6,2,1,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,6,2,1,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,2,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,6,4,1,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,4,1,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,4,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,4,4,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,1,2,1,4,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,2,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,4,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,4,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,4,4,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,1,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,1,2,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,4,1,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,2,4,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,4,4,1,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,5,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,5,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,2,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,2,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,5,4,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,4,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,1,4,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,1,5,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,4,1,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,1,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,5,5,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,2,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,1,5,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,5,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,5,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,1,2,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,4,2,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,4,2,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,4,5,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,5,1,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,5,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,5,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,4,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,5,4,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,1,5,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,4,1,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,5,1,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,5,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,5,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,5,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,4,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,5,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,5,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,5,1,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,5,1,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,2,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,2,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,2,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,5,5,1,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,2,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,2,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,4,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,5,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,5,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,2,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,5,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,5,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,4,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,4,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,4,1,1,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,5,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,4,2,5,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,5,1,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,5,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,2,1,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,5,4,1,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,4,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,2,5,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,2,5,6,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,2,6,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,2,6,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,2,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,2,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,6,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,4,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,4,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,6,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,6,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,2,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,2,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,6,4,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,5,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,1,4,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,1,5,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,4,1,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,6,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,6,1,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,5,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,2,6,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,1,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,6,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,5,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,6,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,2,4,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,1,6,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,6,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,6,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,6,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,1,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,4,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,2,5,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,5,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,5,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,1,4,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,4,6,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,1,1,5,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,5,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,1,6,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,4,1,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,6,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,5,1,6,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,6,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,4,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,1,1,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,1,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,1,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,1,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,4,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,1,1,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,1,1,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,4,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,5,1,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,1,2,5,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,2,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,5,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,6,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,6,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,1,6,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,2,5,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,2,5,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,6,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,6,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,1,5,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,5,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,5,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,6,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,1,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,1,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,1,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,2,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,6,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,6,2,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,2,1,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,2,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,5,1,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,6,5,1,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,5,2,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,1,2,6,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,1,4,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,6,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,1,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,4,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,6,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,6,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,6,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,1,1,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,1,6,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,2,1,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,4,1,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,1,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,1,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,6,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,6,2,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,6,1,1,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,1,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,2,1,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,6,2,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,2,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,6,4,2,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,2,5,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,1,4,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,4,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,1,5,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,2,1,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,2,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,5,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,1,2,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,4,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,2,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,1,4,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,5,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,5,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,1,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,4,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,4,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,1,1,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,1,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,1,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,1,5,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,4,5,1,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,5,2,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,5,1,1,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,1,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,5,1,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,1,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,5,2,1,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,2,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,4,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,3,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,1,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,4,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,4,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,4,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,3,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,3,1,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,3,3,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,3,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,3,3,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,3,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,3,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,1,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,3,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,4,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,4,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,1,3,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,1,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,3,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,3,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,3,3,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,3,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,3,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,1,5,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,3,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,3,3,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,3,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,3,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,5,1,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,5,1,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,3,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,3,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,1,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,3,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,1,6,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,1,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,1,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,6,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,6,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,3,3,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,1,3,6,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,3,1,3,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,6,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,6,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,3,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,3,1,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,3,1,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,3,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,4,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,4,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,3,4,4,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,4,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,4,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,3,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,1,3,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,4,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,3,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,3,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,3,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,1,4,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,3,1,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,3,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,4,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,4,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,3,1,4,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,4,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,1,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,4,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,1,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,3,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,3,1,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,4,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,4,4,1,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,3,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,3,3,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,3,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,3,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,3,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,4,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,3,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,3,1,1,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,3,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,4,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,4,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,4,1,3,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,3,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,4,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,4,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,3,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,1,5,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,3,1,4,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,1,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,4,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,1,3,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,3,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,3,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,3,3,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,5,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,3,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,1,3,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,1,4,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,3,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,1,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,3,3,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,1,3,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,3,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,4,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,4,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,5,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,5,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,4,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,4,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,5,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,4,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,3,1,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,4,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,1,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,4,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,1,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,1,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,3,1,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,3,1,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,3,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,1,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,1,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,1,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,3,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,3,3,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,5,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,3,1,1,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,3,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,5,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,1,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,3,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,3,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,1,3,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,3,1,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,3,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,3,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,4,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,4,3,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,3,1,1,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,3,3,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,4,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,1,1,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,4,1,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,3,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,3,4,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,6,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,6,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,3,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,1,6,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,3,1,4,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,4,1,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,3,6,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,3,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,6,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,3,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,3,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,3,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,6,3,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,6,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,1,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,3,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,6,1,4,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,3,3,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,3,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,4,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,3,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,3,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,1,4,3,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,4,6,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,6,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,4,1,3,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,3,1,4,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,4,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,6,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,4,1,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,6,1,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,1,3,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,3,1,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,3,1,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,3,6,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,6,1,1,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,1,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,3,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,6,4,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,1,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,1,3,3,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,3,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,3,1,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,3,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,3,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,3,6,1,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,1,6,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,1,3,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,1,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,3,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,6,1,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,6,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,6,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,1,3,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,4,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,4,3,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,1,1,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,1,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,1,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,3,1,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,3,4,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,4,3,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,5,3,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,1,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,3,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,1,3,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,3,3,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,3,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,5,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,5,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,1,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,5,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,5,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,3,1,5,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,5,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,1,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,3,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,5,1,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,3,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,1,3,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,3,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,3,3,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,5,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,5,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,5,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,3,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,3,5,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,5,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,6,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,6,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,3,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,5,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,1,5,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,1,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,6,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,6,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,6,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,3,1,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,3,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,3,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,6,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,6,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,1,5,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,3,3,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,1,3,5,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,1,3,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,5,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,5,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,6,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,3,5,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,3,6,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,6,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,1,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,3,1,5,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,5,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,6,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,6,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,1,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,1,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,1,6,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,6,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,6,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,6,3,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,1,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,1,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,3,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,1,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,6,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,6,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,6,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,6,3,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,6,1,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,3,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,3,1,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,5,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,1,1,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,1,3,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,3,1,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,5,1,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,5,3,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,5,1,1,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,5,1,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,1,3,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,1,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,4,4,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,3,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,1,4,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,1,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,3,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,3,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,4,1,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,4,4,4,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,4,1,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,4,1,1,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,4,4,1,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,4,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,3,1,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,4,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,4,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,4,4,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,3,1,4,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,4,1,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,4,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,4,4,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,4,1,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,3,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,4,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,1,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,3,1,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,3,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,3,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,5,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,5,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,4,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,1,4,4,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,1,4,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,4,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,4,5,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,5,4,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,1,3,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,1,3,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,5,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,4,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,4,3,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,5,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,4,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,3,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,1,4,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,4,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,1,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,4,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,4,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,4,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,4,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,1,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,4,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,1,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,5,4,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,1,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,4,1,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,4,1,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,5,4,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,1,3,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,1,4,3,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,5,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,5,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,4,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,5,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,4,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,1,4,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,4,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,4,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,4,1,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,4,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,5,1,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,5,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,5,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,4,1,3,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,3,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,5,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,3,1,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,5,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,1,1,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,1,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,1,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,1,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,3,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,3,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,3,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,4,1,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,4,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,4,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,1,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,4,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,3,4,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,1,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,4,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,6,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,4,3,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,3,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,6,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,6,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,4,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,1,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,4,4,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,6,4,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,1,3,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,1,3,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,4,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,4,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,3,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,4,6,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,6,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,6,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,6,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,1,3,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,1,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,1,4,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,1,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,3,4,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,1,4,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,4,1,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,4,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,6,1,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,1,1,4,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,1,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,1,4,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,1,4,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,1,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,4,1,1,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,4,4,1,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,6,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,6,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,4,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,4,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,1,6,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,6,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,1,4,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,3,4,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,1,4,3,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,4,3,6,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,6,1,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,6,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,1,4,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,4,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,6,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,1,6,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,3,4,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,4,1,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,6,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,6,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,6,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,4,1,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,1,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,3,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,3,1,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,3,4,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,6,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,4,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,1,4,4,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,1,3,1,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,4,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,4,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,4,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,1,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,1,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,3,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,4,1,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,3,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,4,1,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,3,5,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,5,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,3,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,4,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,4,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,4,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,1,5,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,1,5,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,1,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,5,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,1,3,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,1,5,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,1,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,1,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,5,3,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,5,5,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,1,3,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,1,3,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,1,4,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,4,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,5,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,4,5,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,5,1,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,5,1,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,5,3,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,5,3,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,5,4,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,5,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,1,5,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,4,1,5,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,4,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,1,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,4,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,5,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,5,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,1,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,1,1,5,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,1,5,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,5,1,5,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,4,1,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,4,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,4,5,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,5,1,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,5,4,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,1,1,5,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,1,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,5,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,5,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,5,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,5,1,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,5,5,1,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,5,1,1,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,1,5,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,1,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,3,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,3,5,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,5,1,1,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,5,5,1,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,1,3,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,4,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,4,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,5,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,1,5,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,1,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,4,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,5,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,3,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,5,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,5,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,1,1,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,3,4,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,4,1,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,4,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,3,5,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,5,1,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,5,4,1,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,1,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,1,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,3,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,5,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,4,5,1,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,5,1,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,5,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,5,1,3,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,1,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,3,1,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,4,1,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,4,6,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,3,5,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,3,6,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,3,6,5,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,4,3,5,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,4,5,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,4,5,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,4,6,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,5,3,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,5,4,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,5,4,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,5,6,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,3,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,6,3,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,6,4,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,6,5,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,1,4,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,1,5,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,1,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,6,4,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,5,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,6,5,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,1,3,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,1,6,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,1,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,5,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,6,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,6,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,3,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,1,4,3,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,1,6,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,1,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,6,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,6,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,4,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,1,3,5,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,6,1,4,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,1,5,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,4,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,5,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,5,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,5,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,5,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,1,4,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,4,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,5,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,1,5,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,4,1,5,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,5,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,6,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,4,6,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,1,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,4,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,1,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,1,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,6,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,6,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,6,5,1,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,1,4,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,6,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,4,1,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,1,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,6,4,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,1,1,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,1,1,5,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,1,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,4,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,4,5,1,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,5,4,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,5,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,1,3,6,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,1,5,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,1,6,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,1,6,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,3,1,6,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,6,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,1,5,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,5,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,6,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,5,1,1,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,5,1,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,6,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,6,1,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,6,1,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,1,1,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,1,1,6,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,3,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,1,6,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,1,6,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,3,6,1,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,6,3,1,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,3,1,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,6,3,1,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,3,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,6,5,1,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,1,3,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,1,4,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,1,6,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,1,6,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,3,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,6,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,6,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,6,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,6,4,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,3,4,6,1,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,3,6,1,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,6,4,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,1,3,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,1,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,3,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,3,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,6,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,6,1,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,4,6,3,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,6,1,1,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,1,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,1,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,1,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,3,1,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,3,1,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,4,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,4,1,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,4,3,1,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,1,4,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,1,4,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,1,5,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,4,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,4,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,5,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,5,1,4,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,5,3,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,5,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,1,1,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,1,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,1,4,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,4,5,1,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,5,1,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,1,1,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,3,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,3,5,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,5,1,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,5,1,1,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,1,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,5,1,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,1,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,5,3,1,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,5,3,4,1,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,2,2,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,4,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,2,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,2,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,1,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,5,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,2,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,2,2,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,2,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,6,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,2,1,2,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,2,1,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,2,2,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,2,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,2,2,1,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,2,2,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,3,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,3,2,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,3,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,2,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,3,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,2,2,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,2,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,2,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,3,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,3,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,3,2,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,2,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,3,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,2,3,4,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,4,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,2,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,2,1,2,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,2,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,1,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,4,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,2,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,2,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,2,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,2,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,4,2,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,2,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,2,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,2,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,2,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,2,2,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,2,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,4,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,4,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,4,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,2,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,2,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,3,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,2,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,2,3,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,3,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,5,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,3,2,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,3,5,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,5,3,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,2,2,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,5,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,2,3,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,3,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,2,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,3,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,2,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,5,3,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,2,1,2,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,2,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,3,2,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,3,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,5,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,5,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,2,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,2,2,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,2,2,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,2,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,5,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,5,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,1,3,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,2,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,2,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,2,2,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,2,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,2,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,3,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,2,2,2,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,2,2,5,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,5,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,5,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,2,1,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,2,2,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,2,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,2,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,2,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,2,1,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,3,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,3,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,2,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,3,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,6,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,6,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,3,2,2,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,6,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,2,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,6,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,2,2,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,6,2,2,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,3,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,3,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,2,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,6,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,2,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,6,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,2,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,3,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,2,1,2,3,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,3,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,3,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,1,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,6,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,6,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,6,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,6,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,6,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,6,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,2,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,2,1,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,2,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,2,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,6,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,1,2,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,6,1,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,2,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,2,2,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,2,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,3,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,2,2,2,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,2,2,6,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,2,6,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,6,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,6,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,1,2,2,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,1,2,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,3,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,2,2,1,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,3,1,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,2,3,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,2,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,4,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,4,4,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,4,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,2,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,4,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,2,4,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,4,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,2,4,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,2,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,4,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,2,1,4,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,2,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,2,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,2,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,1,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,4,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,4,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,4,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,5,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,5,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,5,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,2,2,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,2,4,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,4,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,4,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,4,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,2,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,2,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,2,1,2,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,2,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,4,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,4,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,5,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,5,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,5,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,4,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,1,2,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,1,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,2,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,2,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,1,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,5,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,5,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,2,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,2,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,2,4,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,4,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,2,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,5,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,5,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,5,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,5,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,2,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,4,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,2,1,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,2,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,4,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,4,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,4,2,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,2,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,6,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,6,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,6,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,6,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,2,2,6] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,2,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,2,2,2,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,6,2,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,2,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,6,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,2,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,6,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,2,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,6,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,2,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,2,1,2,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,2,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,1,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,2,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,6,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,2,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,6,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,4,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,4,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,2,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,6,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,1,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,2,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,2,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,2,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,2,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,2,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,4,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,4,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,2,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,6,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,1,2,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,2,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,2,6,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,6,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,6,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,6,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,2,1,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,2,2,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,2,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,2,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,1,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,2,1,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,2,1,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,2,4,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,2,4,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,4,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,2,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,4,2,2,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,5,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,5,5,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,5,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,2,5,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,5,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,2,5,5,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,2,1,5,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,5,2,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,5,2,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,2,2,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,2,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,1,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,5,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,2,5,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,5,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,6,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,2,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,2,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,2,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,5,2,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,2,2,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,5,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,2,6,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,6,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,2,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,2,1,2,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,2,6,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,2,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,6,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,6,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,2,1,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,2,2,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,2,2,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,2,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,6,1,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,6,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,2,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,5,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,6,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,2,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,1,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,2,6,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,6,1,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,2,2,5,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,5,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,1,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,1,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,2,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,2,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,5,2,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,2,2,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,2,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,1,3,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,2,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,1,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,2,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,2,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,3,2,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,3,2,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,3,2,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,2,2,3,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,3,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,2,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,4,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,3,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,2,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,3,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,2,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,4,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,4,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,3,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,3,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,3,2,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,2,4,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,3,3,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,4,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,2,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,2,1,3,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,1,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,1,3,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,4,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,3,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,3,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,2,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,2,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,2,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,3,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,3,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,2,2,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,2,3,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,4,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,3,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,2,1,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,3,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,4,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,2,4,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,3,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,3,1,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,4,2,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,2,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,3,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,1,2,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,3,2,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,3,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,3,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,3,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,2,2,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,3,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,3,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,2,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,2,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,3,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,5,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,5,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,2,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,3,2,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,3,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,5,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,3,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,3,5,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,2,1,3,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,1,3,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,5,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,5,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,3,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,3,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,5,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,2,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,3,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,3,2,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,5,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,3,5,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,5,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,2,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,2,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,3,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,5,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,2,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,3,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,3,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,3,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,3,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,5,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,2,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,2,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,3,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,5,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,3,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,5,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,3,1,2,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,5,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,1,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,2,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,2,2,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,2,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,2,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,3,1,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,3,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,3,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,2,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,3,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,3,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,2,3,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,3,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,2,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,3,2,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,2,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,2,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,3,3,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,3,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,6,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,2,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,2,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,3,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,3,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,6,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,3,2,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,6,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,6,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,2,3,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,2,3,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,2,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,2,3,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,6,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,2,1,3,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,6,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,6,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,3,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,3,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,3,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,6,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,3,1,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,3,1,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,2,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,2,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,6,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,3,6,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,6,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,6,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,3,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,1,3,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,2,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,2,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,2,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,2,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,3,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,6,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,6,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,3,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,3,6,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,2,1,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,2,3,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,2,6,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,3,1,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,1,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,6,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,6,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,3,1,2,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,2,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,6,3,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,3,2,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,3,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,2,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,3,2,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,1,3,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,1,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,2,2,3,1,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,2,3,3,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,2,3,1,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,2,3,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,3,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,3,2,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,2,3,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,1,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,1,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,1,3,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,2,1,3,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,3,2,2,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,2,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,2,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,3,2,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,4,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,4,4,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,4,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,2,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,4,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,2,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,4,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,4,2,2,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,4,2,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,4,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,2,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,4,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,2,1,4,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,3,4,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,3,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,3,1,2,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,4,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,2,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,2,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,1,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,4,1,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,4,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,2,3,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,2,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,4,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,2,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,3,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,4,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,2,4,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,4,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,4,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,1,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,2,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,2,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,4,2,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,2,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,3,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,2,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,4,2,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,4,2,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,3,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,1,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,2,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,4,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,3,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,3,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,2,4,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,3,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,4,1,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,2,4,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,4,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,2,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,2,2,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,3,4,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,4,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,2,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,3,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,4,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,5,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,3,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,3,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,2,2,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,2,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,5,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,2,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,2,3,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,3,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,5,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,5,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,5,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,3,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,2,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,4,2,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,4,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,4,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,4,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,5,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,2,1,3,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,4,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,4,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,5,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,1,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,5,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,3,5,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,5,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,5,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,5,1,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,4,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,4,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,5,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,5,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,2,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,5,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,3,2,5,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,2,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,3,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,2,5,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,4,3,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,1,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,2,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,3,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,3,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,4,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,4,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,4,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,2,4,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,5,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,1,5,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,4,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,2,1,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,2,4,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,5,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,4,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,5,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,5,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,1,4,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,5,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,1,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,2,1,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,2,2,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,4,2,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,1,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,2,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,2,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,4,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,4,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,4,2,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,2,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,2,2,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,2,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,1,2,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,3,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,2,1,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,1,5,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,3,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,3,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,5,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,3,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,3,5,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,3,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,5,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,5,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,2,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,2,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,5,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,1,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,2,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,3,2,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,2,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,3,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,2,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,3,2,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,1,2,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,2,1,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,1,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,2,3,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,2,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,3,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,2,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,3,4,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,4,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,4,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,2,2,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,2,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,4,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,1,2,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,4,1,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,2,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,2,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,3,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,4,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,6,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,4,2,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,4,3,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,3,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,4,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,3,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,2,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,6,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,2,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,6,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,6,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,2,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,3,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,6,3,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,6,2,2,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,2,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,3,4,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,2,3,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,2,4,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,3,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,6,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,4,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,3,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,3,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,4,6,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,4,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,6,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,6,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,3,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,3,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,3,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,6,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,6,1,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,3,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,4,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,4,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,4,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,1,6,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,2,4,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,3,2,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,2,6,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,6,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,2,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,6,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,2,1,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,3,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,3,2,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,6,1,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,2,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,4,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,4,2,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,6,4,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,4,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,1,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,6,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,4,1,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,2,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,6,1,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,6,1,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,6,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,6,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,2,1,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,2,2,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,6,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,6,1,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,1,2,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,1,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,6,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,6,4,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,2,3,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,3,2,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,3,6,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,6,2,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,6,2,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,2,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,3,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,3,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,2,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,6,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,2,3,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,6,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,3,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,2,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,2,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,2,2,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,3,6,1,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,6,2,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,2,2,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,2,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,2,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,3,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,3,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,2,2,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,3,4,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,4,2,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,1,4,2,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,2,1,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,2,3,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,2,3,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,4,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,2,4,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,3,1,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,3,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,3,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,4,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,2,4,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,1,2,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,1,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,2,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,2,1,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,2,2,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,2,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,4,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,4,2,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,4,1,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,4,1,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,1,3,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,4,2,2,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,4,3,2,1,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,2,5,3,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,5,5,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,5,2,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,3,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,3,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,5,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,5,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,5,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,3,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,2,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,5,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,2,5,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,2,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,5,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,2,3,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,2,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,5,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,5,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,5,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,5,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,3,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,2,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,5,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,1,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,2,5,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,2,5,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,5,1,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,5,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,5,5,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,2,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,2,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,2,3,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,3,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,5,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,5,2,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,5,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,5,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,5,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,5,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,2,5,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,2,5,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,5,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,1,2,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,1,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,2,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,1,5,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,5,2,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,2,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,2,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,5,2,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,5,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,2,2,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,2,2,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,2,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,5,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,5,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,5,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,3,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,2,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,1,2,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,3,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,2,1,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,1,5,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,2,3,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,2,3,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,2,5,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,2,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,3,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,3,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,5,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,2,1,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,2,2,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,3,2,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,2,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,5,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,5,2,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,5,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,5,1,2,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,2,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,2,1,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,2,3,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,2,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,3,2,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,3,6,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,5,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,6,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,6,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,2,6,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,2,5,3,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,5,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,2,5,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,2,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,2,5,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,6,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,5,6,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,6,5,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,3,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,6,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,6,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,6,2,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,6,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,2,2,3,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,3,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,2,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,3,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,5,2,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,2,5,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,2,5,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,5,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,2,3,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,3,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,6,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,2,1,3,5,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,1,3,6,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,5,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,6,3,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,1,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,3,1,6,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,3,5,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,6,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,3,6,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,3,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,5,6,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,5,6,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,5,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,5,2,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,3,1,6,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,2,5,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,2,6,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,2,6,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,1,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,1,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,6,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,2,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,2,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,6,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,6,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,6,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,2,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,2,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,5,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,5,1,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,5,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,2,6,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,2,5,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,6,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,1,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,5,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,2,5,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,2,2,6,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,2,6,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,5,1,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,2,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,5,6,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,6,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,1,2,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,5,1,2,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,6,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,2,1,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,2,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,2,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,6,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,6,2,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,6,1,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,5,2,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,3,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,6,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,2,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,6,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,6,3,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,2,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,1,3,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,6,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,2,1,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,1,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,3,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,3,1,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,3,2,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,6,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,6,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,2,1,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,2,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,2,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,6,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,6,2,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,6,1,3,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,6,2,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,6,2,2,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,2,2,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,3,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,2,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,3,2,2,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,5,2,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,5,2,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,5,3,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,2,1,2,3,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,2,1,3,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,2,1,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,2,3,1,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,2,3,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,3,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,3,2,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,3,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,2,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,2,2,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,5,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,1,2,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,5,1,3,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,5,2,2,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,2,2,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,2,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,4,2,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,4,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,2,2,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,4,4,2,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,2,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,4,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,1,2,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,2,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,2,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,4,1,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,2,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,4,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,4,2,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,4,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,4,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,4,4,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,4,4,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,4,1,2,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,4,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,2,4,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,4,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,4,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,4,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,2,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,5,4,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,2,2,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,2,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,4,2,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,5,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,5,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,4,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,4,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,4,2,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,4,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,2,5,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,4,2,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,4,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,4,4,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,5,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,2,1,4,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,5,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,5,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,5,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,4,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,4,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,4,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,1,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,2,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,4,1,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,2,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,5,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,5,2,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,5,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,4,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,1,2,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,2,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,4,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,2,2,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,2,5,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,4,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,5,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,2,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,5,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,2,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,1,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,2,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,2,4,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,5,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,4,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,4,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,4,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,5,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,5,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,5,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,5,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,4,1,2,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,5,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,5,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,5,1,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,4,2,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,2,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,2,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,4,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,4,2,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,2,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,2,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,4,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,4,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,2,4,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,4,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,4,4,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,4,4,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,1,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,4,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,2,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,2,2,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,2,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,4,2,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,4,6,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,4,2,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,4,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,4,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,6,2,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,6,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,2,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,4,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,2,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,6,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,4,4,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,2,4,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,2,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,4,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,4,4,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,4,6,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,2,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,4,2,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,2,1,4,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,1,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,4,1,6,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,6,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,6,4,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,2,6,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,4,2,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,2,1,6,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,4,4,1,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,1,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,2,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,2,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,4,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,1,2,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,6,1,4,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,1,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,4,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,4,4,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,4,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,1,2,2,6,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,4,6,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,1,6,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,6,2,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,1,2,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,2,1,4,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,4,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,2,6,1,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,4,1,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,4,6,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,6,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,2,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,4,1,2,6,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,6,2,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,1,4,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,2,1,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,2,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,6,2,2,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,6,4,1,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,6,4,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,2,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,1,2,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,2,4,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,2,4,4,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[6,2,4,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,4,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,4,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,4,4,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,1,2,2,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,4,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,2,2,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,4,4,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,5,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,2,5,5,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,2,4,2,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,4,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,2,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,4,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,5,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,5,5,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,2,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,4,2,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,4,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,5,2,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,2,4,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,2,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,5,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,5,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,2,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,5,5,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,5,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,4,5,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,1,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,5,4,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,1,2,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,2,1,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,2,5,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,1,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,5,2,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,2,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,5,5,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,5,5,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,2,4,1,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,4,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,4,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,5,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,2,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,5,2,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,5,4,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,5,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,1,2,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,5,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,2,5,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,2,5,1,2,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,2,5,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,5,5,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,5,5,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,1,5,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,5,2,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,5,2,5,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,5,2,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,5,5,2,2,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,1,2,2,4,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,2,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,4,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,4,5,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,1,5,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,5,2,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,4,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,2,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,2,5,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,1,4,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,2,1,4,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,4,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,2,5,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,4,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,4,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,5,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,4,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,2,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,2,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,2,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,4,2,2,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,4,2,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,5,1,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,5,1,2,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,4,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,5,2,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,4,2,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,2,4,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,2,5,4,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,2,5,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,2,6,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,2,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,6,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,2,4,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,2,5,2,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,2,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,6,5,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,5,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,2,5,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,2,6,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,2,6,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,2,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,6,5,2,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,4,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,4,6,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,6,2,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,6,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,4,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,6,2,2,4,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,2,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,6,2,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,5,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,4,5,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,6,5,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,2,5,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,2,6,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,2,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,2,6,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,5,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,6,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,2,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,4,2,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,1,6,4,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,2,1,4,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,1,4,6,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,1,5,4,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,1,5,6,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,1,6,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,4,1,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,2,4,1,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,5,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,4,6,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,5,4,6,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,2,5,6,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,2,5,6,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,1,4,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,1,5,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,2,6,4,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,2,6,5,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,2,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,2,6,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,5,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,2,1,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,2,6,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,1,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,1,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,2,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,2,1,6,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,2,4,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,2,6,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,4,1,2,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,4,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,6,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,6,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,6,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,6,1,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,4,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,2,1,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,2,4,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,4,5,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,5,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,5,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,2,5,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,2,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,5,6,2,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,1,6,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,6,5,2,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,2,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,2,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,2,1,5,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,2,5,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,2,6,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,2,6,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,5,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,5,2,6,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,5,6,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,5,6,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,6,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,1,6,2,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,2,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,5,2,2,6,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,5,2,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,2,1,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,6,2,1,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,2,2,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,2,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,5,1,2,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,5,2,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,6,5,2,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,2,6,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,2,6,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,6,2,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,1,2,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,4,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,2,1,4,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,2,1,6,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,4,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,2,6,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,4,2,1,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,4,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,2,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,2,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,6,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,2,2,6,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,2,6,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,1,4,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,6,2,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,2,2,1,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,6,2,2,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,2,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,4,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,6,4,2,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,2,2,5,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,2,5,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,2,2,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,4,2,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,5,2,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,5,4,2,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,1,2,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,2,1,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,2,1,5,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,2,4,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,2,2,5,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,4,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,1,2,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,1,2,5,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,4,2,2,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,4,5,1,2,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,5,2,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,5,2,2,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,5,1,2,2,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,5,1,2,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,2,2,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,2,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,5,2,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,3,2,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[3,1,3,2,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,3,3,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,3,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,3,3,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,3,1,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,3,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,2,3,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,4,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,4,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,4,3,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,3,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,3,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,3,4,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,4,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,3,1,3,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,3,1,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,4,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,3,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,4,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,4,3,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,3,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,3,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,3,4,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,2,4,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,3,2,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,3,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,4,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,4,3,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,3,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,2,3,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,3,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,3,3,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,3,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,4,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,3,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,3,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,3,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,4,2,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,4,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,1,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,3,4,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,4,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,4,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,4,1,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,1,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,3,1,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,3,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,3,2,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,3,3,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,3,3,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,2,1,3,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[4,2,3,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,3,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,3,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,3,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,3,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,3,5,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,2,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,5,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,3,2,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,3,2,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,5,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,5,2,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,5,3,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,3,2,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,3,3,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,3,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,5,3,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,1,5,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,3,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,5,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,5,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,5,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,3,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,3,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,2,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,5,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,3,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,3,3,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,3,3,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,3,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,3,3,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,3,3,5,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,3,5,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,3,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,5,3,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,2,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,2,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,3,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,3,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,5,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,3,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,5,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,5,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,5,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,5,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,3,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,2,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,5,3,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,3,3,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,5,3,3,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,2,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1,3,3,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,1,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,3,3,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,3,3,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[5,3,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,3,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,3,6,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,2,3,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,2,3,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,3,2,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,6,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,6,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,6,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,6,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,2,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,3,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,3,6,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,6,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,3,3,3] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,1,3,3,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,1,3,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,6,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,3,1,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,1,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,6,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,6,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,3,1,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,2,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,3,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,3,2,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,3,2,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,3,2,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,3,3,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,3,6,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,6,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,6,2,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,3,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,3,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,3,3,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,3,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,6,3,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,3,1,2,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,3,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,3,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,6,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,6,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,3,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,3,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,3,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,6,3,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,6,1,2,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,6,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,6,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,6,3,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,6,1,2,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,6,1,3,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,3,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,3,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,3,2,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,3,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,3,3,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,3,3,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,3,1,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,2,3,3,1,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,3,1,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,3,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,2,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,2,3,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,3,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,3,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,3,2,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,3,3,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,4,3,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,4,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,4,4,2] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,4,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,4,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,2,3,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,4,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,3,3,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,3,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,3,4,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,3,4,3,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,4,3,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,3,4,4] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,1,4,3,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,1,3,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,4,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,4,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,1,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,4,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,3,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,3,3,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,3,4,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,4,3,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,4,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,4,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,3,2,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,3,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,4,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,4,4,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,3,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,3,4,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,4,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,4,4,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,3,1,4,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,2,4,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,1,2,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,4,1,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,4,1,3,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,1,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,4,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,2,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,3,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,3,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,4,1,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,3,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,4,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,3,2,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,3,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,4,2,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,4,3,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,4,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,3,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,3,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,4,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,3,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,3,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,4,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,2,4,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,1,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,3,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,3,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,3,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,3,4,1,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,3,4,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,1,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,3,1,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,3,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,1,3,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,3,2,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,3,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,4,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,5,4,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,3,4,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,2,5,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,5,4,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,3,2,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,3,3,2,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,4,2,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,3,4,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,3,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,2,3,3,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,3,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,3,5,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,5,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,5,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,5,3,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,3,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,2,4,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,3,2,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,2,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,3,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,3,4,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,4,2,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,3,4,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,4,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,5,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,4,3,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,4,5,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,3,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,3,5,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,1,4,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,5,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,3,1,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,3,1,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,5,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,4,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,3,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,3,3,5,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,5,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,5,3,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,3,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,3,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,3,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,3,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,4,1,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,4,3,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,3,5,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,4,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,5,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,2,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,4,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,5,2,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,4,3,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,4,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,2,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,3,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,4,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,3,5,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,1,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,3,1,2,4,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,1,2,5,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,4,5,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,5,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,5,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,2,1,4,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,4,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,4,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,5,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,4,1,2,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,4,2,1,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,4,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,5,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,2,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,3,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,2,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,3,1,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,3,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,5,1,4,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,2,1,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,2,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,3,2,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,4,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,3,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,4,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,1,3,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,3,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,5,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,1,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,5,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,3,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,3,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,3,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,5,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,1,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,2,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,3,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,3,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,3,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,3,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,3,5,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,3,5,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,5,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,1,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,5,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,5,3,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,3,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,3,3,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,2,4,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,1,3,2,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,3,3,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,3,4,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,3,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,3,4,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,1,4,2,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,2,1,3,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,3,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,1,4,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,2,3,1,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,3,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,3,1,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,4,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,4,3,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,3,2,1,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,3,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,1,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,3,4,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,3,4,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,2,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,3,3,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,3,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,2,4,3,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,6,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,6,4,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,2,3,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,6,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,2,6,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,3,2,6,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,4,2,6] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,3,4,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,4,2,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,2,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,4,3,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,3,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,6,4,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,6,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,3,3,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,6,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,3,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,2,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,3,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,2,4,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,3,2,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,3,3,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,3,4,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,3,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,3,3,6,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,4,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,6,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,6,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,6,3,3,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,3,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,4,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,1,4,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,3,1,4,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,4,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,3,6,1,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,6,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,1,4,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,6,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,4,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,1,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,1,6,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,4,3,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,3,3,1,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,4,3,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,3,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,1,3,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,1,4,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,6,4,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,4,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,4,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,4,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,4,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,3,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,4,6,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,1,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,4,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,3,6,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,3,6,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,1,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,1,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,6,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,6,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,6,3,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,6,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,3,1,2,4,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,1,2,6,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,1,4,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,1,4,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,1,6,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,4,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,4,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,6,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,6,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,4,1,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,2,1,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,4,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,4,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,6,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,6,1,4,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,6,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,6,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,3,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,1,3,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,1,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,1,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,6,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,3,1,6,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,3,2,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,6,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,6,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,6,1,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,6,1,2,4,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,1,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,3,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,3,2,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,3,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,4,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,4,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,4,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,4,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,3,2,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,2,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,2,1,3,3,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,1,3,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,3,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,3,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,3,1,2,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,2,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,3,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,6,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,3,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,3,1,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,3,2,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,3,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,3,6,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,6,2,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,6,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,2,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,6,3,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,3,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,3,3,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,3,3,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,4,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,4,2,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,4,3,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,3,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,3,3,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,1,3,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,3,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,3,3,4,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,2,3,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,3,4,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,4,1,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,2,4,3,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,4,3,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,1,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,1,3,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,3,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,1,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,1,4,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,2,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,2,1,4,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,3,2,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,2,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,3,1,2,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,3,1,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,3,3,2,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,3,3,2,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,3,4,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,4,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,4,3,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,1,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[6,4,1,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,1,3,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,4,3,2,1,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,4,3,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,3,3,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,5,3,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,3,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,5,5,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,2,5,5] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,3,3,5,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,2,5,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,5,3,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,3,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,3,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,3,5,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,5,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,5,3,3,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,3,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,5,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,5,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,5,5,1] => [[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 6
[2,3,5,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,5,3,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,5,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,1,5,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,3,1,5,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,3,3,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,3,5,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,5,5,3,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,3,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,3,2,5,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,3,5,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,2,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,5,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,3,1,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,3,5,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,5,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,5,1,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,5,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,5,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,2,5,5,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,3,1,5,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,5,1,5] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,5,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,1,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,5,2,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,2,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,1,2,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,1,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,1,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,1,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,2,3,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,2,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,3,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,2,1,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,5,1,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,5,2,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,5,2,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,5,3,1,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,2,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,2,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,3,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,1,3,5,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,5,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,5,3,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,3,3,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,2,1,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,1,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,3,3,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,1,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,5,3,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,5,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,3,2,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,3,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,3,3,5,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,3,5,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,5,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,5,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,5,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,5,1,3,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,3,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,3,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,3,2,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,3,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,5,3,3,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,3,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,5,6,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,6,3,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,6,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,5,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,2,3,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,5,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,6,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,3,2,5,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,3,2,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,3,5,6,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,3,6,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,6,3,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,3,6,5,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,3,3,2,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,5,3,3,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,5,3,6,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,6,2,3,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,5,6,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,6,2,3,3,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,3,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,3,3,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,3,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,3,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,1,3,5,3,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,3,5,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,3,6,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,3,3,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,3,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,5,6,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,6,3,3,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,1,3,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,5,3,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,6,3,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,3,1,5,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,3,3,1,6,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,3,5,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,6,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,3,6,5,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,5,1,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,3,1,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,3,5,3,6,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,3,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,3,6,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,3,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,6,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,1,6,3,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,3,3,6,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,5,6,1,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,6,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,6,3,3,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,1,5,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,5,1,3,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,5,3,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,5,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,3,5,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,2,3,6,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,2,5,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,6,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,2,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,3,2,6,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,1,3,5,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,3,6,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,2,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,6,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,6,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,3,1,5,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,3,5,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,3,6,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,5,1,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,5,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,5,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,6,3,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,3,1,2,5,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,1,2,6,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,5,6,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,1,6,5,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,1,5,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,2,5,1,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,2,5,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,2,6,1,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,2,6,5,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,3,5,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,1,6,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,3,5,2,1,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,5,6,2,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,3,6,1,2,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,1,5,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,3,6,2,1,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,5,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,3,6,5,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,1,2,6,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,1,6,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,1,6,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,2,3,1,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,3,1,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,3,6,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,6,2,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,6,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,6,3,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,6,1,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,3,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,5,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,5,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,5,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,6,3,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,1,3,2,6,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,3,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,6,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,6,3,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,3,3,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,2,1,6,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,3,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,3,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,2,3,3,6,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,3,6,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,1,3,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,3,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,6,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,3,1,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,3,2,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,3,3,6,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,3,6,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,3,6,1,2,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,3,6,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,6,2,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,6,3,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,6,1,3,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,2,1,3,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,2,3,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,6,3,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,3,2,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,6,3,3,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,1,2,5,3,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,1,5,2,3,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,1,5,3,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,5,3,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,1,3,3,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,1,3,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,3,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,3,1,3,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,2,3,1,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,3,3,1,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,3,5,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,1,2,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,1,2,5,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,1,3,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,2,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,2,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,2,5,3,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,3,1,2,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,3,3,2,5,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,3,5,1,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,3,5,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,3,5,1,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,5,1,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,5,3,1,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,5,3,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,5,1,2,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,2,1,3,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,5,2,3,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,2,3,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,5,3,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,4,2,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,3,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,4,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,3,2,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,3,4,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,3,4,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,2,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,3,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,3,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,4,3,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,4,3,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,3,4,1,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,1,3,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,4,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,3,1,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,3,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,1,3,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,1,4,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,3,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,3,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,4,2,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,4,4,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,4,4,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,1,2,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,4,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,4,1,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,4,1,4,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,2,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,2,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,2,4,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,4,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,3,4,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,3,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,4,2,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,4,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,3,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,4,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,4,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,4,4,3,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,3,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,4,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,4,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,1,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,4,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,3,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,4,1,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,4,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,4,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,2,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,4,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,4,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,3,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,1,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,4,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,4,3,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,4,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,3,1,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,3,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,4,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,2,4,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,3,1,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,3,1,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,2,4,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,3,4,1,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,4,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,3,5,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,4,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,2,4,4,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,3,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,5,4,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,3,2,5,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,4,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,4,4,2,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,4,5,2] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,3,4,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,5,4,4,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,2,3,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,2,4,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,4,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,4,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,5,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,3,5,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,4,2,3,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,3,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,4,5,2,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,4,5,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,5,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,5,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,3,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,4,2,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,5,4,4,2,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,1,3,4,4,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,1,4,4,3,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,4,5,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,5,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,3,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,1,5,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,5,1,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,5,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,4,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,4,1,4,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,1,5,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,3,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,3,4,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,4,4,1,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,3,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,4,3,5,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,4,5,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,4,5,1,4,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,5,3,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,5,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,1,3,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,5,3,4,4,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,5,4,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,3,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,4,4,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,5,4,4,3,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,4,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,4,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,1,4,4,5,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,4,5,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,2,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,5,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,4,1,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,4,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,4,5,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,4,4,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,1,4,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,1,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,1,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,2,5,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,4,2,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,4,1,2,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,4,2,1,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,2,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,5,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,2,1,4,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,1,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,4,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,4,4,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[3,5,4,4,2,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,3,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,2,5,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,3,2,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,4,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,5,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,4,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,4,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,3,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,4,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,5,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,3,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,4,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,4,5,1,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,2,5,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,5,1,4,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,2,5,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,5,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,4,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,4,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,4,1,2,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,2,5,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,3,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,5,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,1,3,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,2,1,5,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,3,1,5] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,2,3,5,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,5,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,1,2,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,3,1,5,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,5,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,3,5,2,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,5,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,5,2,1,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,5,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[4,4,5,3,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,5,1,3,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,2,1,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,3,2,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,3,2,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,4,1,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,4,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,3,2,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,4,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,4,4,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,1,3,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,1,4,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,3,1,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,2,4,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,4,4,3,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,3,1,2,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,3,2,4,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,4,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,4,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,4,4,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[5,4,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,3,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,2,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,2,4,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,4,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,4,4,1,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,4,4,2,1,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,4,4,2,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,4,4,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,3,6,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,3,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,4,4,3,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,4,6,3] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,2,4,6,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,6,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,2,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,4,4,2,6] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,4,6,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,6,4,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,4,2,3,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,2,4,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,6,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,6,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,3,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,4,2,3,6] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,4,2,6,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,3,2,6] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,4,4,6,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,4,6,3,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,6,3,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,6,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,4,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,6,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,3,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,6,2,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,4,4,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,4,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,3,4,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,3,6,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,4,6,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,4,6,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,6,3,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,3,1,4,4,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,1,4,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,1,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[2,3,6,4,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,3,6,4,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,1,4,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,1,6,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,3,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,3,6,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,4,1,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,1,6,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,4,3,6,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,4,6,3,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,6,1,3,4,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,6,1,4,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,1,4,4,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,6,3,1,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[2,6,4,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,4,4,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,6,4,4,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,2,4,4,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,2,6,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,4,4,2,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,6,2,4,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,2,4,1,4,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,1,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,4,4,1,6] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,2,4,6,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,4,6,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,2,6,1,4,4] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,6,4,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,6,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,4,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,1,4,6,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,6,4,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,4,2,1,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,2,4,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,2,4,6,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,4,2,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,4,1,6,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,2,1,6] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,4,2,6,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,4,6,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,4,6,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,6,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,6,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,2,4,4] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,6,1,4,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,4,1,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,4,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,4,4,1,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,4,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,4,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,4,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,6,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,4,2,3,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,1,4,6,2,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,6,2,3,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,6,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,3,4,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,4,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,6,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,4,1,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,4,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,6,1,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,6,1,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,6,3,4,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,3,1,2,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,2,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,4,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,6,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,4,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,4,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,6,1,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,6,1,4,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,6,2,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,3,6,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,4,1,2,3,6] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,1,3,2,6] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,1,3,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,1,6,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,1,6,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,1,3,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,1,6,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,2,3,6,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,2,6,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,4,3,1,2,6] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,3,1,6,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,4,3,2,6,1] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,3,6,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,6,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,4,6,2,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,6,3,1,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[4,4,6,3,2,1] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,2,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,2,3,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,3,1,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,6,3,2,1,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,6,3,4,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,4,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,4,3,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,4,4,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,1,4,2,3,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,4,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,4,4,2,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,1,3,4,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,2,3,1,4,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,2,3,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,2,4,1,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,4,3,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,4,1,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,2,4,4,3,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,3,1,2,4,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,3,1,4,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,3,2,1,4,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,2,4,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[6,3,4,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,4,4,2,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[6,4,1,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,1,3,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,1,4,3,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,3,2,1,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,4,3,2,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,4,3,4,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,4,4,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[6,4,4,1,3,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,4,4,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[6,4,4,3,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,4,3,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,4,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,2,5,3,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,5,4,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,3,2,5,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,2,5,5,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,3,4,2,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,3,4,5,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,4,2,3,5,5] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,4,3,5,5,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,4,5,2,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,5,3,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,5,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,5,5,3,2] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,3,2,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,3,2,5,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,4,2,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,5,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,5,5,2,4,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,3,2,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,5,5,3,4,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,5,5,4,2,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[2,1,3,4,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,3,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,1,4,5,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,5,5,3] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,3,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,5,3,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,1,4,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,3,1,5,5,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,1,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,4,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,5,5,4,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[2,4,3,1,5,5] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,5,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,1,5,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,3,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,3,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,4,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,4,3,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,4,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,5,1,3,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[2,5,5,3,4,1] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,5,4,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,5,4,3,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[3,1,2,4,5,5] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[3,1,2,5,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,5,4] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,4,5,2,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,4,5,5,2] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,5,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,5,2,5,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,1,5,4,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,5,5,2,4] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,1,5,5,4,2] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,4,1,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,2,4,5,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,5,5,1] => [[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,5,1,4,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,5,5,4,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,4,1,2,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,4,2,1,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,5,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,1,2,5,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,5,1,4,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,1,5,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,2,5,4,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,4,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,4,2,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,5,4,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,5,1,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,5,1,2,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,5,1,4,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,5,2,1,4] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,5,4,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,5,4,2,1] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,1,2,3,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,1,2,5,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,2,5,5,3] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,3,2,5,5] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,5,5,3,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[4,2,1,3,5,5] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,1,5,5,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,2,3,1,5,5] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,2,3,5,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,5,5,1] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,5,5,1,3] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,1,2,5,5] => [[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,5,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,5,2] => [[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 4
[4,3,5,1,2,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,5,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,5,5,1,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,1,3,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,1,3,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,1,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,1,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,2,1,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,2,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,2,5,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,3,2,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,5,3,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,5,3,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,5,1,3,2] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,5,2,1,3] => [[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,5,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,3,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,4,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,3,4,5,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,3,5,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,5,3,4,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,1,5,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,1,3,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,4,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,1,4,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,1,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,3,5,1,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,4,3,5,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,4,5,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,4,5,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,1,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,5,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,2,1,4,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,4,1,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,2,4,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,2,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,4,1,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,4,5,1,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,3,4,5,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,5,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,5,2,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,5,4,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,2,3,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,2,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,1,5,2,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,4,2,3,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,2,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,5,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,5,2,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,5,1,2,4,3] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,3,2,4] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,1,3,4,2] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,1,4,2,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,2,1,3,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,1,4,3] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,2,3,1,4] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,2,4,3,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,3,1,2,4] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,3,2,1,4] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,3,2,4,1] => [[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,5,3,4,1,2] => [[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[5,5,3,4,2,1] => [[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 7
[5,5,4,1,2,3] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,4,1,3,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,4,2,1,3] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[5,5,4,2,3,1] => [[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,5,4,3,1,2] => [[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,2,4,3,6,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,2,4,6,5,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,5,4,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,3,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,2,6,4,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,6,5,4,3] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,2,5,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,6,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,2,6,5,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,3,4,2,5,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,3,4,2,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,4,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,3,6,5,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,3,5,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,4,2,6,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,6,5,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,3,2,6,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,4,3,5,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,4,5,3,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,5,6,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,4,6,5,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,4,6,5,3,2] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,4,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,3,6,2,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,4,2,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,4,6,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,2,3,4] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,5,6,2,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,5,6,4,3,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,2,3,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,2,4,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,2,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,6,3,2,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,6,5,2,3,4] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,5,2,4,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,3,5,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,1,3,6,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,4,5,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,4,5,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,1,4,6,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,3,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,1,5,3,6,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,1,6,3,4,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,6,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,1,5,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,5,1,6,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,3,5,4,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,1,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,3,6,4,1,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,3,6,5,4,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,4,1,5,3,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,4,1,6,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,1,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,1,6,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,4,5,3,1,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[2,4,5,6,3,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,5,3,4,1,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,5,3,4,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,1,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,5,4,6,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,6,4,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,5,6,4,3,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[2,6,1,4,3,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[2,6,1,4,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,4,3,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,4,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,5,1,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[2,6,5,3,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[2,6,5,4,3,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,1,2,4,6,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,1,2,5,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,2,6,5,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,4,5,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,1,4,6,5,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,4,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,1,5,6,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,1,5,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,2,4,5,1,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,4,6,1,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,5,1,4,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,2,5,6,1,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,2,5,6,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,1,4,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,2,6,4,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,1,6,2,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,4,1,6,5,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,2,6,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,4,2,6,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,6,2,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,4,6,2,5,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[3,4,6,5,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,1,2,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,1,4,2,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,2,1,6,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,1,2,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,4,1,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,5,6,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,5,6,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,5,6,4,2,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[3,6,1,5,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,4,2,1,5] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[3,6,4,5,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[3,6,5,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6,5,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[3,6,5,4,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,1,2,3,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,2,5,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,1,3,5,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,1,6,2,3,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,1,3,5,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,3,6,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,6,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,2,3,6,5,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,5,1,3,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,2,5,6,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,3,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,2,6,5,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,1,2,5,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,6,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,5,1,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,3,5,1,6,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,6,1,2,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3,6,1,5,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,5,1,3,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,1,6,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,1,3,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,2,1,6,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,3,2,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,5,3,6,2,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,2,1,5,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,2,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,3,1,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,3,1,5,2] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[4,6,3,2,5,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,5,1,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[4,6,5,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[4,6,5,3,1,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,6,5,3,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,2,4,6,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,1,2,6,4,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,2,4,6] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[5,1,3,2,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,3,4,2,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,6,3,2,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,1,6,3,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,2,1,3,4,6] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,3,6,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,1,4,6] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,2,3,6,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,2,4,3,1,6] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,2,4,3,6,1] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,2,1,4,6] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,6,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,4,6,2,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,3,6,1,2,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,3,6,2,4,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,2,3,6] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,4,1,3,6,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,4,1,6,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,3,6,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,2,6,1,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,6,2,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,4,6,3,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,1,4,3,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,6,2,4,1,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,6,2,4,3,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,3,1,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[5,6,3,2,1,4] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[5,6,3,2,4,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[5,6,4,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[5,6,4,2,1,3] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[5,6,4,3,2,1] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,1,2,5,3,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,1,2,5,4,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,4,5,2,3] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,1,4,5,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,1,5,3,4,2] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,1,5,4,2,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,1,3,4,5] => [[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 7
[6,2,1,5,3,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,3,1,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,3,5,4,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,1,3,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,2,4,1,5,3] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,4,3,1,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,2,4,5,3,1] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,3,1,2,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,1,2,5,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,2,1,4,5] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,2,4,5,1] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,3,4,2,5,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,5,1,2,4] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,3,5,1,4,2] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,5,4,2,1] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,2,3,5] => [[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,3,2,5] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,3,2,1,5] => [[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 8
[6,4,3,5,1,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,3,5,2,1] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[6,4,5,1,3,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,4,5,2,1,3] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,1,3,4,2] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,1,4,2,3] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,5,2,3,1,4] => [[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[6,5,3,1,2,4] => [[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[6,5,3,4,1,2] => [[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
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Generating function
F1=1
F2=2+q
Description
The number of indecomposable modules with projective dimension 2 for Nakayama algebras with global dimension at most 2.
Map
ordered tree
Description
The ordered tree associated with the parking function by Pollak.
Let (p1,…,pn) be a parking function. Set c_i = p_{i+1}-p_i \mod (n+1) to obtain a Prüfer code, and return the underlying ordered tree rooted at 0.
Let (p1,…,pn) be a parking function. Set c_i = p_{i+1}-p_i \mod (n+1) to obtain a Prüfer code, and return the underlying ordered tree rooted at 0.
Map
Barnabei-Castronuovo involution
Description
The Barnabei-Castronuovo Schützenberger involution on Dyck paths.
The image of a Dyck path is obtained by reversing the canonical decompositions of the two halves of the Dyck path. More precisely, let D_1, 1, D_2, 1, \dots be the canonical decomposition of the first half, then the canonical decomposition of the first half of the image is \dots, 1, D_2, 1, D_1.
The image of a Dyck path is obtained by reversing the canonical decompositions of the two halves of the Dyck path. More precisely, let D_1, 1, D_2, 1, \dots be the canonical decomposition of the first half, then the canonical decomposition of the first half of the image is \dots, 1, D_2, 1, D_1.
Map
to Dyck path
Description
Return the Dyck path of the corresponding ordered tree induced by the recurrence of the Catalan numbers, see wikipedia:Catalan_number.
This sends the maximal height of the Dyck path to the depth of the tree.
This sends the maximal height of the Dyck path to the depth of the tree.
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