edit this map or download as text // json
Identifier
Mp00025: Dyck paths —to 132-avoiding permutation⟶ Permutations
Images
[] => []
[1,0] => [1]
[1,0,1,0] => [2,1]
[1,1,0,0] => [1,2]
[1,0,1,0,1,0] => [3,2,1]
[1,0,1,1,0,0] => [2,3,1]
[1,1,0,0,1,0] => [3,1,2]
[1,1,0,1,0,0] => [2,1,3]
[1,1,1,0,0,0] => [1,2,3]
[1,0,1,0,1,0,1,0] => [4,3,2,1]
[1,0,1,0,1,1,0,0] => [3,4,2,1]
[1,0,1,1,0,0,1,0] => [4,2,3,1]
[1,0,1,1,0,1,0,0] => [3,2,4,1]
[1,0,1,1,1,0,0,0] => [2,3,4,1]
[1,1,0,0,1,0,1,0] => [4,3,1,2]
[1,1,0,0,1,1,0,0] => [3,4,1,2]
[1,1,0,1,0,0,1,0] => [4,2,1,3]
[1,1,0,1,0,1,0,0] => [3,2,1,4]
[1,1,0,1,1,0,0,0] => [2,3,1,4]
[1,1,1,0,0,0,1,0] => [4,1,2,3]
[1,1,1,0,0,1,0,0] => [3,1,2,4]
[1,1,1,0,1,0,0,0] => [2,1,3,4]
[1,1,1,1,0,0,0,0] => [1,2,3,4]
[1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1]
[1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1]
[1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1]
[1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1]
[1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1]
[1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1]
[1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1]
[1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1]
[1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1]
[1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1]
[1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1]
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1]
[1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2]
[1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2]
[1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2]
[1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2]
[1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3]
[1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3]
[1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5]
[1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5]
[1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4]
[1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5]
[1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5]
[1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5]
[1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3]
[1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4]
[1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5]
[1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5]
[1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4]
[1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5]
[1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5]
[1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5]
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5]
[1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5]
[1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5]
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0] => [6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0] => [6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [5,6,3,4,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0] => [4,5,3,6,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [5,3,4,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0] => [6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [5,6,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0] => [6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [5,4,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,2,3,1]
[1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1]
[1,0,1,1,0,1,0,1,0,0,1,0] => [6,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,0] => [4,5,3,2,6,1]
[1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [5,3,4,2,6,1]
[1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1]
[1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1]
[1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1]
[1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [5,4,2,3,6,1]
[1,0,1,1,1,0,0,1,1,0,0,0] => [4,5,2,3,6,1]
[1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1]
[1,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,5,6,1]
>>> Load all 6284 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1]
[1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1]
[1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1]
[1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1]
[1,1,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0] => [5,6,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0] => [6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,0] => [5,4,6,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,0] => [4,5,6,3,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0] => [6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0] => [5,6,3,4,1,2]
[1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,1,0,0] => [5,4,3,6,1,2]
[1,1,0,0,1,1,0,1,1,0,0,0] => [4,5,3,6,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,1,0,0] => [5,3,4,6,1,2]
[1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3]
[1,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,0] => [5,6,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6]
[1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6]
[1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6]
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6]
[1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4]
[1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6]
[1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6]
[1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6]
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6]
[1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6]
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6]
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6]
[1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3]
[1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4]
[1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6]
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6]
[1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4]
[1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6]
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6]
[1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6]
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6]
[1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6]
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6]
[1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6]
[1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6]
[1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6]
[1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6]
[1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6]
[1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6]
[1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6]
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6]
[1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6]
[1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [7,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [6,5,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [7,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [6,5,4,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [5,6,4,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [6,4,5,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [7,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [6,7,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [7,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [6,5,7,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [5,6,7,3,4,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [7,5,4,3,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [6,5,4,3,7,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [5,6,4,3,7,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [6,4,5,3,7,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [6,5,3,4,7,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [5,6,3,4,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [5,4,3,6,7,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,3,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,2,4,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,7,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,2,7,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,2,7,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,7,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,7,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,6,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,2,7,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,6,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,7,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,2,7,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,7,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,6,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,7,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,7,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,7,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,4,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,3,7,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,3,7,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,6,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,3,7,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,7,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,7,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,7,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,5,7,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,6,7,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,7,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,7,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,7,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,7,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,7,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,7,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,6,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,7,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,7,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,7,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,6,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,7,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,6,7,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,7,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,7,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,7,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [6,7,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [7,5,6,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [6,5,7,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [5,6,7,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [7,6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [6,7,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [6,5,4,7,3,1,2]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [5,6,4,7,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [6,4,5,7,3,1,2]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [7,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [6,7,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [6,5,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [5,6,7,3,4,1,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [7,5,4,3,6,1,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [6,5,4,3,7,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [5,6,4,3,7,1,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [6,4,5,3,7,1,2]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,1,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,1,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [6,5,3,4,7,1,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [5,6,3,4,7,1,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,1,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,1,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [5,4,3,6,7,1,2]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,1,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,1,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,2,1,7]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,1,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,2,1,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,1,7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,1,7]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,1,6]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,2,1,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,2,1,7]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,1,6]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,1,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,2,1,7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,1,7]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,1,6]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,1,7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,1,7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,1,7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,1,7]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,1,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,1,6]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,3,1,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,3,1,7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,3,1,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,1,7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,1,7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,1,6]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,1,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,1,7]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,1,6]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,5,1,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,6,1,7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,1,7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,1,6]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,1,7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,1,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,1,7]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,1,7]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,1,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,1,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,1,7]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,1,6]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,1,7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,1,7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,1,7]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,1,6]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,1,7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,6,1,7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,1,7]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,1,6]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,1,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,1,7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,1,7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,1,7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,1,7]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,1,2,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,1,2,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,1,2,4]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,1,2,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,1,2,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,1,2,7]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,1,2,6]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,1,2,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,1,2,7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,1,2,7]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,1,2,7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,1,2,6]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,1,2,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,1,2,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,1,2,7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,1,2,7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,1,2,7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,1,2,7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,1,2,7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,1,3,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,1,3,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,1,3,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,1,3,7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,1,3,6]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,1,3,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,1,3,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,1,3,7]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,1,4,7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,1,4,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,1,5,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1,6,7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,1,6,7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,1,5,6]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,1,5,7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,1,6,7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,1,6,7]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,1,6,7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,1,4,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,1,4,7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,1,4,7]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,1,5,6]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,1,5,7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,1,6,7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,1,6,7]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,1,5,6]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,1,5,7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,1,6,7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,1,6,7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,1,6,7]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,1,5,6]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,1,5,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,1,6,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,1,6,7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,1,6,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,1,6,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [6,7,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [7,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [6,5,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [7,6,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,7,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,5,4,1,2,3,6]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [6,5,4,1,2,3,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [5,6,4,1,2,3,7]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,4,5,1,2,3,6]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [6,4,5,1,2,3,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [5,4,6,1,2,3,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,5,6,1,2,3,7]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [7,6,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,7,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,5,3,1,2,4,6]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [6,5,3,1,2,4,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,6,3,1,2,4,7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,4,3,1,2,5,6]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,4,3,1,2,5,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1,2,6,7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,5,3,1,2,6,7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,4,1,2,5,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [5,3,4,1,2,6,7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,5,1,2,6,7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,4,5,1,2,6,7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [7,6,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,7,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,5,2,1,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [6,5,2,1,3,4,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,6,2,1,3,4,7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,4,2,1,3,5,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1,3,6,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,2,1,3,6,7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,3,2,1,4,5,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [6,3,2,1,4,5,7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1,4,6,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,5,6,7]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,4,2,1,5,6,7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,2,3,1,4,5,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [6,2,3,1,4,5,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,3,1,4,6,7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,3,1,5,6,7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,4,1,5,6,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,1,5,6,7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [6,5,1,2,3,4,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,6,1,2,3,4,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [6,4,1,2,3,5,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,2,3,6,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [4,5,1,2,3,6,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,2,4,5,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,2,4,6,7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,2,5,6,7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,3,4,5,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,3,4,6,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,3,5,6,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,4,5,6,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,1,4,5,6,7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,5,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,2,3,4,6,7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,2,3,5,6,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,2,4,5,6,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,4,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,5,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,7,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,8,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,8,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,7,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,8,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,8,2,1]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,8,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,6,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,7,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,8,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,8,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,7,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,8,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,8,2,1]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,8,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,7,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,8,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,8,2,1]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,8,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,8,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,6,2,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,6,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,7,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,7,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,8,2,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,8,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,6,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,8,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,8,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,7,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,8,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,8,2,1]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,8,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,7,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,8,2,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,8,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,8,2,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,7,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,8,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,7,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,8,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,8,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,7,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,8,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,8,2,1]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,8,2,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,7,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,2,3,1]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,2,3,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,2,4,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,2,5,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,2,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,2,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,2,8,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,2,7,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,2,8,1]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,2,8,1]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,2,7,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,2,7,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,2,8,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,2,7,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,2,8,1]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,2,8,1]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,2,8,1]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,2,8,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,2,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,2,6,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,2,7,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,2,8,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,2,6,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,2,6,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,2,7,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,2,8,1]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,2,8,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,2,7,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,2,8,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,2,8,1]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,2,8,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,2,7,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,2,8,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,2,8,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,2,8,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,2,8,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,2,6,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,2,6,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,2,7,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,2,8,1]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,2,8,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,2,7,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,2,8,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,2,8,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,2,8,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,2,7,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,2,8,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,2,8,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,2,8,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,2,8,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,2,7,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,2,8,1]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,2,8,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,2,8,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,2,8,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,2,8,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,3,4,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,2,3,5,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,2,3,6,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,2,3,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,3,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,3,8,1]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,2,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,2,3,7,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,2,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,2,3,8,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,2,3,8,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,2,3,6,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,2,3,6,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,3,7,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,3,8,1]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,2,3,7,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,2,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,2,3,8,1]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,2,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,2,3,7,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,2,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,2,3,8,1]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,2,3,8,1]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,3,8,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,2,4,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,2,4,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,2,4,7,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,4,8,1]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,2,4,8,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,2,4,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,2,4,8,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,4,8,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,2,4,8,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,2,5,6,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,2,5,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,2,5,7,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,2,5,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,2,5,8,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,2,6,7,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,6,8,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,7,8,1]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,2,7,8,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,2,6,7,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,2,6,8,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,2,7,8,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,7,8,1]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,2,7,8,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,2,5,7,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,2,5,8,1]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,2,5,8,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,2,6,7,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,6,8,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,2,7,8,1]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,2,7,8,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,2,6,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,2,6,8,1]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,7,8,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,7,8,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,2,7,8,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,2,6,7,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,2,6,8,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,2,7,8,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,2,7,8,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,2,7,8,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,7,8,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [7,8,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [7,6,8,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [8,7,5,2,3,4,6,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,3,4,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [8,6,5,2,3,4,7,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,4,8,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [6,7,5,2,3,4,8,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [8,5,6,2,3,4,7,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [7,5,6,2,3,4,8,1]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,3,4,8,1]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,3,4,8,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [8,7,4,2,3,5,6,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,3,5,6,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,5,7,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,3,5,8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,3,5,8,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [8,5,4,2,3,6,7,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,6,8,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,7,8,1]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,3,7,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [8,4,5,2,3,6,7,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,3,6,8,1]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,3,7,8,1]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,7,8,1]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,5,6,2,3,7,8,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [8,7,3,2,4,5,6,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,4,5,6,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [8,6,3,2,4,5,7,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,5,8,1]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,4,5,8,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,6,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,6,8,1]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,7,8,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,4,7,8,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [8,4,3,2,5,6,7,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,5,6,8,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,5,7,8,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,7,8,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,6,7,8,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,6,7,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [7,3,4,2,5,6,8,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [6,3,4,2,5,7,8,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,6,7,8,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,6,7,8,1]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,7,8,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,4,5,7,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,4,5,8,1]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,4,5,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [8,5,2,3,4,6,7,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [7,5,2,3,4,6,8,1]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,4,7,8,1]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,7,8,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,5,6,7,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,5,6,8,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [6,4,2,3,5,7,8,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,6,7,8,1]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,6,7,8,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,5,6,7,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7,3,2,4,5,6,8,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,5,7,8,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,4,6,7,8,1]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,7,8,1]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,7,8,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,5,6,7,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,6,8,1]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,2,3,4,5,7,8,1]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,6,7,8,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,6,7,8,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,6,7,8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,3,1,2]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,3,1,2]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,3,1,2]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,3,1,2]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,3,1,2]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,3,1,2]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,3,1,2]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,3,1,2]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,3,1,2]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,3,1,2]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,3,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,4,1,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,5,1,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,6,1,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,6,1,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,7,1,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,8,1,2]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,8,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,7,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,8,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,8,1,2]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,8,1,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,6,1,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,6,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,7,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,8,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,8,1,2]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,7,1,2]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,8,1,2]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,8,1,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,8,1,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,7,1,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,8,1,2]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,8,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,8,1,2]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,8,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,6,1,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,6,1,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,7,1,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,8,1,2]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,8,1,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,7,1,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,8,1,2]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,8,1,2]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,8,1,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,6,1,2]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,6,1,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,7,1,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,8,1,2]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,8,1,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,7,1,2]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,8,1,2]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,8,1,2]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,8,1,2]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,7,1,2]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,8,1,2]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,8,1,2]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,8,1,2]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,8,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,7,1,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,8,1,2]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,8,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,7,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,8,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,8,1,2]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,8,1,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,7,1,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,8,1,2]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,8,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,8,1,2]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,8,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,7,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,8,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,8,1,2]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,8,1,2]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,8,1,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,2,1,3]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,2,1,3]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,2,1,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,2,1,8]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,2,1,6]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,2,1,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,2,1,7]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,2,1,8]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,2,1,8]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,2,1,7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,2,1,8]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,2,1,8]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,2,1,8]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,2,1,7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,2,1,8]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,2,1,8]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,2,1,8]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,2,1,8]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,2,1,5]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,2,1,6]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,2,1,6]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,2,1,7]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,2,1,8]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,2,1,8]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,2,1,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,2,1,8]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,2,1,8]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,2,1,8]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,2,1,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,2,1,6]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,2,1,7]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,2,1,8]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,2,1,8]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,2,1,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,2,1,8]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,2,1,8]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,2,1,8]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,2,1,7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,2,1,8]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,2,1,8]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,2,1,8]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,2,1,8]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,2,1,6]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,2,1,6]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,2,1,7]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,2,1,8]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,2,1,8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,2,1,7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,2,1,8]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,2,1,8]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,2,1,8]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,2,1,7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,2,1,8]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,2,1,8]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,2,1,8]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,2,1,8]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,2,1,7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,2,1,8]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,2,1,8]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,2,1,8]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,2,1,8]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,2,1,8]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,2,3,1,4]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,3,1,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,2,3,1,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,2,3,1,6]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,2,3,1,6]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,3,1,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,3,1,8]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,2,3,1,8]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,2,3,1,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,2,3,1,8]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,2,3,1,8]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,3,1,7]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,2,3,1,7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,2,3,1,8]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,2,3,1,7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,2,3,1,8]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,2,3,1,8]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,2,3,1,8]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,3,1,8]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,2,4,1,6]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,2,4,1,6]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,2,4,1,7]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,4,1,8]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,2,4,1,8]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,2,4,1,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,2,4,1,8]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,4,1,8]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,2,4,1,8]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,2,5,1,6]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,2,5,1,6]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,2,5,1,7]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,2,5,1,8]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,2,5,1,8]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,2,6,1,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,6,1,8]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,7,1,8]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,2,7,1,8]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,2,6,1,7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,2,6,1,8]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,2,7,1,8]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,7,1,8]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,2,7,1,8]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,2,5,1,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,2,5,1,6]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,2,5,1,7]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,2,5,1,8]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,2,5,1,8]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,2,6,1,7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,6,1,8]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,2,7,1,8]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,2,7,1,8]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,2,6,1,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,2,6,1,8]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,7,1,8]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,7,1,8]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,2,7,1,8]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,2,6,1,7]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,2,6,1,8]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,2,7,1,8]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,2,7,1,8]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,2,7,1,8]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,7,1,8]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [7,8,6,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [7,6,8,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [8,7,5,2,3,4,1,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,3,4,1,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [8,6,5,2,3,4,1,7]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,4,1,8]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [6,7,5,2,3,4,1,8]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [8,5,6,2,3,4,1,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [7,5,6,2,3,4,1,8]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,3,4,1,8]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,3,4,1,8]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [8,7,4,2,3,5,1,6]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,3,5,1,6]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,5,1,7]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,3,5,1,8]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,3,5,1,8]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [8,5,4,2,3,6,1,7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,6,1,8]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,7,1,8]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,3,7,1,8]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [8,4,5,2,3,6,1,7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,3,6,1,8]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,3,7,1,8]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,7,1,8]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,5,6,2,3,7,1,8]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [8,7,3,2,4,5,1,6]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,4,5,1,6]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [8,6,3,2,4,5,1,7]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,5,1,8]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,4,5,1,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,6,1,8]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,7,1,8]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,4,7,1,8]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [8,4,3,2,5,6,1,7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,5,6,1,8]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,5,7,1,8]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,7,1,8]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,6,7,1,8]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,6,1,7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [7,3,4,2,5,6,1,8]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [6,3,4,2,5,7,1,8]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,6,7,1,8]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,6,7,1,8]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,7,1,8]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,4,5,1,6]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,5,1,6]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,4,5,1,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,4,5,1,8]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,4,5,1,8]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [8,5,2,3,4,6,1,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [7,5,2,3,4,6,1,8]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,4,7,1,8]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,7,1,8]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,5,6,1,7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,5,6,1,8]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [6,4,2,3,5,7,1,8]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,6,7,1,8]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,6,7,1,8]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,5,6,1,7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7,3,2,4,5,6,1,8]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,5,7,1,8]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,4,6,7,1,8]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,7,1,8]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,7,1,8]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,5,6,1,7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,6,1,8]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,2,3,4,5,7,1,8]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,6,7,1,8]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,6,7,1,8]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,6,7,1,8]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,1,2,3]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,1,2,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,1,2,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,1,2,3]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,1,2,3]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,1,2,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,1,2,3]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,1,2,4]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,1,2,4]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,1,2,5]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,1,2,6]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,1,2,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,1,2,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,1,2,8]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,1,2,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,1,2,7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,1,2,8]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,1,2,8]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,1,2,8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,1,2,6]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,1,2,6]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,1,2,7]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,1,2,8]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,1,2,8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,1,2,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,1,2,8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,1,2,8]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,1,2,8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,1,2,7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,1,2,8]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,1,2,8]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,1,2,8]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,1,2,8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,1,2,5]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,1,2,8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,1,2,6]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,1,2,6]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,1,2,7]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,1,2,8]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,1,2,8]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,1,2,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,1,2,8]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,1,2,8]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,1,2,8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,1,2,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,1,2,8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,1,2,8]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,1,2,8]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,1,2,8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,1,2,6]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,1,2,6]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,1,2,7]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,1,2,8]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,1,2,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,1,2,7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,1,2,8]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,1,2,8]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,1,2,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,1,2,7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,1,2,8]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,1,2,8]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,1,2,8]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,1,2,8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,1,2,7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,1,2,8]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,1,2,8]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,1,2,8]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,1,2,8]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,1,2,8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,1,3,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,2,1,3,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,2,1,3,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,1,3,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,1,3,8]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,2,1,3,8]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,2,1,3,7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,2,1,3,8]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,2,1,3,8]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,2,1,3,8]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,2,1,3,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,2,1,3,6]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,1,3,7]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,1,3,8]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,1,3,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,2,1,3,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,2,1,3,8]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,2,1,3,8]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,2,1,3,8]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,2,1,3,7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,2,1,3,8]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,2,1,3,8]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,2,1,3,8]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,1,3,8]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,2,1,4,5]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,2,1,4,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,1,4,8]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,2,1,4,8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,2,1,4,7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,2,1,4,8]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,1,4,8]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,2,1,4,8]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,2,1,5,7]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,2,1,5,8]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,2,1,5,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,2,1,6,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,1,6,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,2,1,6,7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,2,1,6,8]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,2,1,7,8]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,2,1,5,6]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,2,1,5,6]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,2,1,5,7]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,2,1,5,8]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,2,1,5,8]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,2,1,6,7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,1,6,8]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,2,1,7,8]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,2,1,7,8]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,2,1,6,7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,2,1,6,8]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,1,7,8]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,1,7,8]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,2,1,7,8]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,2,1,6,7]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,2,1,6,8]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,2,1,7,8]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,2,1,7,8]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,2,1,7,8]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,1,7,8]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [7,8,6,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [7,6,8,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,3,1,4,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [8,7,5,2,3,1,4,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,3,1,4,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [8,6,5,2,3,1,4,7]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,1,4,8]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [6,7,5,2,3,1,4,8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [8,5,6,2,3,1,4,7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [7,5,6,2,3,1,4,8]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,3,1,4,8]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,3,1,4,8]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [8,7,4,2,3,1,5,6]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,3,1,5,6]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,1,5,7]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,3,1,5,8]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,3,1,5,8]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [8,5,4,2,3,1,6,7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,1,6,8]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,1,7,8]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,3,1,7,8]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [8,4,5,2,3,1,6,7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,3,1,6,8]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,3,1,7,8]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,1,7,8]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [4,5,6,2,3,1,7,8]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [8,7,3,2,4,1,5,6]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,4,1,5,6]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [8,6,3,2,4,1,5,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,1,5,8]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,4,1,5,8]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,1,6,7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,1,6,8]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,1,7,8]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,4,1,7,8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [8,4,3,2,5,1,6,7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,5,1,6,8]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,5,1,7,8]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,1,7,8]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,6,1,7,8]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,1,6,7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [7,3,4,2,5,1,6,8]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [6,3,4,2,5,1,7,8]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,6,1,7,8]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,6,1,7,8]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,1,7,8]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,4,1,5,6]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,1,5,6]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,4,1,5,7]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,4,1,5,8]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,4,1,5,8]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [8,5,2,3,4,1,6,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [7,5,2,3,4,1,6,8]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,4,1,7,8]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,1,7,8]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,5,1,6,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,5,1,6,8]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [6,4,2,3,5,1,7,8]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,6,1,7,8]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,6,1,7,8]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,5,1,6,7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [7,3,2,4,5,1,6,8]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,5,1,7,8]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,4,6,1,7,8]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,1,7,8]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,1,7,8]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,5,1,6,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,1,6,8]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [6,2,3,4,5,1,7,8]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,6,1,7,8]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,6,1,7,8]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,6,1,7,8]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,1,2,3,5]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,1,2,3,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,1,2,3,6]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,1,2,3,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,1,2,3,8]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,1,2,3,8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,1,2,3,7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,1,2,3,8]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,1,2,3,8]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,1,2,3,8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,1,2,3,6]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,1,2,3,6]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,1,2,3,7]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,1,2,3,8]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,1,2,3,8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,1,2,3,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,1,2,3,8]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,1,2,3,8]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,1,2,3,8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,1,2,3,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,1,2,3,8]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,1,2,3,8]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,1,2,3,8]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,1,2,3,8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,1,2,4,5]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,1,2,4,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,1,2,4,6]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,1,2,4,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,1,2,4,8]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,1,2,4,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,1,2,4,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,1,2,4,8]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,1,2,4,8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,1,2,4,8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,1,2,5,6]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,1,2,5,6]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,1,2,5,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,1,2,5,8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,1,2,5,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,1,2,6,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,1,2,6,8]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,1,2,7,8]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,1,2,7,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,1,2,6,7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,1,2,6,8]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,1,2,7,8]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,1,2,7,8]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,1,2,7,8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,1,2,5,6]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,1,2,5,6]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,1,2,5,7]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,1,2,5,8]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,1,2,5,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,1,2,6,7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,1,2,6,8]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,1,2,7,8]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,1,2,7,8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,1,2,6,7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,1,2,6,8]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,1,2,7,8]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,1,2,7,8]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,1,2,7,8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,1,2,6,7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,1,2,6,8]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,1,2,7,8]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,1,2,7,8]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,1,2,7,8]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,1,2,7,8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [7,8,6,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [7,6,8,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,1,3,4,5]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [8,7,5,2,1,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,1,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [8,6,5,2,1,3,4,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,1,3,4,8]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [6,7,5,2,1,3,4,8]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [8,5,6,2,1,3,4,7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [7,5,6,2,1,3,4,8]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,1,3,4,8]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,1,3,4,8]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [8,7,4,2,1,3,5,6]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,1,3,5,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,1,3,5,8]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,1,3,5,8]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [8,5,4,2,1,3,6,7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,1,3,6,8]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,1,3,7,8]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,1,3,7,8]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [8,4,5,2,1,3,6,7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,1,3,6,8]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,1,3,7,8]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,1,3,7,8]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,5,6,2,1,3,7,8]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [8,7,3,2,1,4,5,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,1,4,5,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [8,6,3,2,1,4,5,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,1,4,5,8]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,1,4,5,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,1,4,6,7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,1,4,6,8]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,1,4,7,8]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,1,4,7,8]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [8,4,3,2,1,5,6,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,1,5,6,8]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,1,5,7,8]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,1,6,7,8]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,1,6,7,8]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,1,5,6,7]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [7,3,4,2,1,5,6,8]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [6,3,4,2,1,5,7,8]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,1,6,7,8]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,1,6,7,8]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,1,6,7,8]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,1,4,5,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,1,4,5,6]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,1,4,5,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,1,4,5,8]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,1,4,5,8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [8,5,2,3,1,4,6,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [7,5,2,3,1,4,6,8]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,1,4,7,8]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,1,4,7,8]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,1,5,6,7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,1,5,6,8]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [6,4,2,3,1,5,7,8]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,1,6,7,8]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,1,6,7,8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,1,5,6,7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [7,3,2,4,1,5,6,8]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,1,5,7,8]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,4,1,6,7,8]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,1,6,7,8]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,1,6,7,8]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,1,5,6,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,1,5,6,8]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [6,2,3,4,1,5,7,8]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,1,6,7,8]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,1,6,7,8]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,1,6,7,8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [8,7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [7,8,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [8,6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [7,6,8,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,7,8,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [8,7,5,1,2,3,4,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [7,8,5,1,2,3,4,6]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [8,6,5,1,2,3,4,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [7,6,5,1,2,3,4,8]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [6,7,5,1,2,3,4,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [8,5,6,1,2,3,4,7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [7,5,6,1,2,3,4,8]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [6,5,7,1,2,3,4,8]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,6,7,1,2,3,4,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [8,7,4,1,2,3,5,6]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [7,8,4,1,2,3,5,6]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [8,6,4,1,2,3,5,7]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [7,6,4,1,2,3,5,8]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [6,7,4,1,2,3,5,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [8,5,4,1,2,3,6,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [7,5,4,1,2,3,6,8]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3,7,8]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [5,6,4,1,2,3,7,8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [8,4,5,1,2,3,6,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [7,4,5,1,2,3,6,8]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [6,4,5,1,2,3,7,8]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [5,4,6,1,2,3,7,8]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [4,5,6,1,2,3,7,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [8,7,3,1,2,4,5,6]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [7,8,3,1,2,4,5,6]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [8,6,3,1,2,4,5,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [7,6,3,1,2,4,5,8]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [6,7,3,1,2,4,5,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [8,5,3,1,2,4,6,7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [7,5,3,1,2,4,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [6,5,3,1,2,4,7,8]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,6,3,1,2,4,7,8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [8,4,3,1,2,5,6,7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [7,4,3,1,2,5,6,8]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [6,4,3,1,2,5,7,8]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3,1,2,6,7,8]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [4,5,3,1,2,6,7,8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [8,3,4,1,2,5,6,7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [7,3,4,1,2,5,6,8]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [6,3,4,1,2,5,7,8]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [5,3,4,1,2,6,7,8]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [4,3,5,1,2,6,7,8]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [3,4,5,1,2,6,7,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [8,7,2,1,3,4,5,6]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [7,8,2,1,3,4,5,6]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [8,6,2,1,3,4,5,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [7,6,2,1,3,4,5,8]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [6,7,2,1,3,4,5,8]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [8,5,2,1,3,4,6,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [7,5,2,1,3,4,6,8]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [6,5,2,1,3,4,7,8]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [5,6,2,1,3,4,7,8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [8,4,2,1,3,5,6,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [7,4,2,1,3,5,6,8]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [6,4,2,1,3,5,7,8]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2,1,3,6,7,8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [4,5,2,1,3,6,7,8]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [8,3,2,1,4,5,6,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [7,3,2,1,4,5,6,8]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [6,3,2,1,4,5,7,8]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2,1,4,6,7,8]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1,5,6,7,8]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [3,4,2,1,5,6,7,8]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,2,3,1,4,5,6,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [7,2,3,1,4,5,6,8]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [6,2,3,1,4,5,7,8]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,3,1,4,6,7,8]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [4,2,3,1,5,6,7,8]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,4,1,5,6,7,8]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [8,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,8,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [8,6,1,2,3,4,5,7]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [7,6,1,2,3,4,5,8]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,7,1,2,3,4,5,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [8,5,1,2,3,4,6,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [7,5,1,2,3,4,6,8]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [6,5,1,2,3,4,7,8]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [5,6,1,2,3,4,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1,2,3,5,6,7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [7,4,1,2,3,5,6,8]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [6,4,1,2,3,5,7,8]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1,2,3,6,7,8]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [8,3,1,2,4,5,6,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [7,3,1,2,4,5,6,8]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [6,3,1,2,4,5,7,8]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [5,3,1,2,4,6,7,8]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,2,5,6,7,8]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,2,1,3,4,5,6,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [7,2,1,3,4,5,6,8]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [6,2,1,3,4,5,7,8]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1,3,4,6,7,8]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1,3,5,6,7,8]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,6,8]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,2,3,4,5,7,8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,2,3,4,6,7,8]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,2,3,5,6,7,8]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [9,2,1,3,4,5,6,7,8]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [9,3,1,2,4,5,6,7,8]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,1,4,5,6,7,8]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,1]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,5,6,7,8,9,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [9,4,1,2,3,5,6,7,8]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [9,3,2,1,4,5,6,7,8]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,1,5,6,7,8]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [5,2,3,4,6,7,8,9,1]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,1]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,2,6,7,8,9,1]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [9,5,1,2,3,4,6,7,8]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [9,4,2,1,3,5,6,7,8]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [9,3,4,1,2,5,6,7,8]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [9,3,2,4,1,5,6,7,8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,5,1,6,7,8]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [6,2,3,4,5,7,8,9,1]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [5,3,2,4,6,7,8,9,1]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,5,2,3,6,7,8,9,1]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [4,3,5,2,6,7,8,9,1]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,2,7,8,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [9,6,1,2,3,4,5,7,8]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [9,5,2,1,3,4,6,7,8]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [9,4,3,1,2,5,6,7,8]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [9,4,2,3,1,5,6,7,8]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [9,3,4,2,1,5,6,7,8]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [9,3,2,4,5,1,6,7,8]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,5,6,1,7,8]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,4,5,6,8,9,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,3,2,4,5,7,8,9,1]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,3,6,7,8,9,1]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [5,3,4,2,6,7,8,9,1]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [4,5,3,2,6,7,8,9,1]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,2,7,8,9,1]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,2,8,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [9,7,1,2,3,4,5,6,8]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [9,5,3,1,2,4,6,7,8]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [9,4,5,1,2,3,6,7,8]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [9,4,3,2,1,5,6,7,8]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [9,3,4,2,5,1,6,7,8]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,5,6,7,1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [8,9,1,2,3,4,5,6,7]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,5,6,7,9,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,4,2,3,5,7,8,9,1]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [5,6,2,3,4,7,8,9,1]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,6,7,8,9,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [4,5,3,6,2,7,8,9,1]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,2,8,9,1]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [9,8,1,2,3,4,5,6,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [9,7,2,1,3,4,5,6,8]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [9,5,3,2,1,4,6,7,8]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [9,5,2,3,4,1,6,7,8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [9,4,5,2,1,3,6,7,8]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [9,4,3,5,1,2,6,7,8]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [9,4,3,2,5,1,6,7,8]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,5,6,7,8,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,1,3,4,5,6,7]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [8,3,2,4,5,6,7,9,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [7,4,2,3,5,6,8,9,1]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,5,2,3,4,7,8,9,1]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [6,4,3,2,5,7,8,9,1]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [6,3,4,5,2,7,8,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [5,6,3,2,4,7,8,9,1]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [5,4,6,2,3,7,8,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,2,7,8,9,1]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,5,6,3,2,7,8,9,1]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,8,9,1,2]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,8,2,9,1]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,2,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [9,8,2,1,3,4,5,6,7]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [9,6,4,1,2,3,5,7,8]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [9,6,3,2,1,4,5,7,8]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [9,4,3,2,5,6,1,7,8]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [9,3,4,2,5,6,7,1,8]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [9,3,2,4,5,6,7,8,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [8,9,3,1,2,4,5,6,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,3,1,4,5,6,7]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [7,4,3,2,5,6,8,9,1]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [5,6,3,4,2,7,8,9,1]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,2,8,9,1]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [5,3,4,6,7,8,9,1,2]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [5,3,4,6,7,8,2,9,1]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [4,5,3,6,7,8,9,1,2]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,8,9,2,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [9,8,3,1,2,4,5,6,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [9,8,2,3,1,4,5,6,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [9,7,3,2,1,4,5,6,8]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [9,6,5,1,2,3,4,7,8]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [9,6,2,3,4,5,1,7,8]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [9,5,4,3,1,2,6,7,8]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,1,2,3,7,8]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [9,4,5,3,2,1,6,7,8]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [9,4,2,3,5,6,7,8,1]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [9,3,4,2,5,6,7,8,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [8,9,4,1,2,3,5,6,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [8,9,3,2,1,4,5,6,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,3,4,1,5,6,7]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [7,6,2,3,4,5,8,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [7,4,3,5,2,6,8,9,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [7,3,4,5,6,2,8,9,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [6,5,4,2,3,7,8,9,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [6,5,3,4,2,7,8,9,1]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,6,7,2,3,4,8,9,1]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,4,3,2,7,8,9,1]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,8,9,1,2]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,8,2,9,1]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [5,3,4,6,7,8,9,2,1]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,2,8,9,1]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,5,6,3,7,8,9,1,2]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [4,5,3,6,7,8,9,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [8,6,7,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [8,6,5,7,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [8,5,6,7,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [7,5,6,8,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,4,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [7,8,6,4,5,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [6,7,8,4,5,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,6,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,6,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [7,6,4,5,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,7,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [7,5,4,6,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [8,4,5,6,7,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [7,4,5,6,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,3,2,1,9]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,3,2,1,9]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [8,6,7,5,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [8,6,5,7,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,3,4,2,1,9]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,3,4,2,1,9]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,5,2,1,9]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [6,7,8,4,3,5,2,1,9]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,3,6,2,1,9]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,2,1,9]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,8,2,1,9]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,3,6,2,1,9]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,3,8,2,1,9]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,8,2,1,9]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,4,5,2,1,9]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [8,7,5,3,4,6,2,1,9]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,8,2,1,9]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,5,6,2,1,9]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7,6,4,3,5,8,2,1,9]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,6,8,2,1,9]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7,8,3,4,5,6,2,1,9]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7,6,3,4,5,8,2,1,9]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [6,7,3,4,5,8,2,1,9]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [6,5,3,4,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,6,7,2,1,9]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,3,4,5,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [5,3,4,6,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,8,2,1,9]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,1,9]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [8,6,5,7,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,2,3,1,9]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [8,5,6,7,4,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [7,8,6,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [8,6,7,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [7,6,8,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [6,7,8,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [7,5,6,4,8,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,8,2,3,1,9]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,7,2,3,1,9]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [7,5,4,6,8,2,3,1,9]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,8,2,3,1,9]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,2,3,1,9]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,2,4,1,9]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,3,2,4,1,9]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,3,2,4,1,9]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,3,2,4,1,9]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [8,6,5,7,3,2,4,1,9]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,3,2,4,1,9]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,2,5,1,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,3,2,7,1,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,2,8,1,9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,2,8,1,9]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,3,2,8,1,9]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,3,2,8,1,9]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [8,4,5,6,3,2,7,1,9]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,2,8,1,9]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [6,7,5,3,4,2,8,1,9]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,2,8,1,9]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [6,4,5,3,7,2,8,1,9]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [5,4,6,3,7,2,8,1,9]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [7,5,3,4,6,2,8,1,9]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,2,8,1,9]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,2,3,4,1,9]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,2,3,4,1,9]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,2,3,4,1,9]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,2,3,4,1,9]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [7,6,8,4,2,3,5,1,9]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,2,3,8,1,9]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,2,4,5,1,9]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [6,7,8,3,2,4,5,1,9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [8,6,5,3,2,4,7,1,9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,2,4,8,1,9]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,2,5,6,1,9]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [7,6,4,3,2,5,8,1,9]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,2,6,7,1,9]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,2,6,8,1,9]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,7,8,1,9]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,2,3,4,5,1,9]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [6,7,8,2,3,4,5,1,9]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [7,6,5,2,3,4,8,1,9]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,6,7,2,3,4,8,1,9]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,2,3,5,7,1,9]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [7,6,4,2,3,5,8,1,9]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [6,5,4,2,3,7,8,1,9]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [7,8,3,2,4,5,6,1,9]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [6,5,3,2,4,7,8,1,9]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [7,4,3,2,5,6,8,1,9]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,6,7,8,1,9]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [4,3,5,2,6,7,8,1,9]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,2,6,7,8,1,9]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [8,7,2,3,4,5,6,1,9]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,3,4,5,6,1,9]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,7,2,3,4,5,8,1,9]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [7,5,2,3,4,6,8,1,9]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,5,2,3,4,7,8,1,9]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [5,6,2,3,4,7,8,1,9]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,3,6,7,8,1,9]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,5,2,3,6,7,8,1,9]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [8,3,2,4,5,6,7,1,9]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,3,2,4,5,7,8,1,9]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [5,3,2,4,6,7,8,1,9]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,5,6,7,8,1,9]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,5,6,7,8,1,9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,5,6,7,1,9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,4,5,6,8,1,9]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [5,2,3,4,6,7,8,1,9]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,6,7,8,1,9]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,1,9]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [8,6,7,5,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,4,3,1,2,9]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,3,1,2,9]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,3,1,2,9]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,8,3,1,2,9]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,8,3,1,2,9]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,3,1,2,9]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,3,1,2,9]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,1,2,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,3,4,1,2,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,4,1,2,9]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [8,6,5,7,3,4,1,2,9]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,3,4,1,2,9]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,5,1,2,9]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [7,6,8,4,3,5,1,2,9]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,1,2,9]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,8,1,2,9]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,3,8,1,2,9]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,3,8,1,2,9]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,8,1,2,9]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,4,5,1,2,9]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,8,1,2,9]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,8,1,2,9]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,6,1,2,9]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,8,1,2,9]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [4,5,3,6,7,8,1,2,9]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,6,7,1,2,9]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7,3,4,5,6,8,1,2,9]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,8,1,2,9]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,1,3,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,2,1,3,9]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,2,1,3,9]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,2,1,3,9]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,4,2,1,3,9]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,2,1,3,9]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,7,2,1,3,9]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,2,1,3,9]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,2,1,3,9]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,2,1,4,9]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,3,2,1,4,9]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,3,2,1,4,9]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,3,2,1,4,9]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,3,2,1,4,9]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,3,2,1,4,9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,2,1,5,9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [7,8,6,4,3,2,1,5,9]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [6,7,8,4,3,2,1,5,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,3,2,1,6,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [7,8,5,4,3,2,1,6,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,3,2,1,7,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [8,5,6,4,3,2,1,7,9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [7,5,6,4,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,3,2,1,6,9]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [7,6,4,5,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,3,2,1,7,9]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [8,4,5,6,3,2,1,7,9]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,3,2,1,8,9]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,2,1,8,9]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,4,2,1,5,9]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,2,1,8,9]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,5,2,1,6,9]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,6,2,1,8,9]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,2,1,8,9]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [5,4,6,3,7,2,1,8,9]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,2,1,6,9]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [7,6,3,4,5,2,1,8,9]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [7,4,3,5,6,2,1,8,9]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,2,1,8,9]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,6,2,1,7,9]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [7,3,4,5,6,2,1,8,9]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,2,1,8,9]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,2,3,1,4,9]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,2,3,1,8,9]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [7,5,6,4,2,3,1,8,9]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,2,3,1,7,9]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [6,7,4,5,2,3,1,8,9]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,2,3,1,8,9]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,2,4,1,5,9]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,2,4,1,8,9]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,2,5,1,6,9]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [7,6,4,3,2,5,1,8,9]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [6,7,4,3,2,5,1,8,9]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,2,6,1,7,9]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,2,6,1,8,9]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,7,1,8,9]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,4,3,2,7,1,8,9]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [8,5,3,4,2,6,1,7,9]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,2,7,1,8,9]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,2,6,1,7,9]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,2,7,1,8,9]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,2,3,4,1,5,9]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [7,8,6,2,3,4,1,5,9]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [7,6,5,2,3,4,1,8,9]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [6,5,7,2,3,4,1,8,9]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,6,7,2,3,4,1,8,9]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [7,8,4,2,3,5,1,6,9]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [7,6,3,2,4,5,1,8,9]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [7,5,3,2,4,6,1,8,9]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [7,4,3,2,5,6,1,8,9]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [6,4,3,2,5,7,1,8,9]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,6,7,1,8,9]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [4,5,3,2,6,7,1,8,9]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [8,3,4,2,5,6,1,7,9]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [6,3,4,2,5,7,1,8,9]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,2,6,7,1,8,9]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,3,4,5,1,6,9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [7,6,2,3,4,5,1,8,9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,7,2,3,4,5,1,8,9]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,5,2,3,4,7,1,8,9]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [5,6,2,3,4,7,1,8,9]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,3,6,7,1,8,9]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [7,3,2,4,5,6,1,8,9]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,5,6,7,1,8,9]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,5,6,7,1,8,9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,5,6,1,7,9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,4,5,6,1,8,9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [6,2,3,4,5,7,1,8,9]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [5,2,3,4,6,7,1,8,9]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,6,7,1,8,9]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,6,7,1,8,9]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [7,5,6,8,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,4,1,2,3,9]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,4,1,2,3,9]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,1,2,3,9]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [6,7,8,4,5,1,2,3,9]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,8,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [7,8,4,5,6,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,8,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,8,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [8,4,5,6,7,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,1,2,3,9]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,1,2,3,9]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,1,2,4,9]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,1,2,4,9]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,3,1,2,4,9]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,1,2,5,9]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,3,1,2,6,9]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [7,8,5,4,3,1,2,6,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,3,1,2,7,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [6,7,4,5,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [7,5,4,6,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,3,1,2,8,9]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [7,4,5,6,3,1,2,8,9]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,1,2,8,9]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,1,2,8,9]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,1,2,8,9]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [7,3,4,5,6,1,2,8,9]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [5,3,4,6,7,1,2,8,9]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,7,1,2,8,9]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,1,2,8,9]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,2,1,3,4,9]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,2,1,3,4,9]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,2,1,3,4,9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [8,6,7,4,2,1,3,5,9]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,2,1,3,7,9]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,2,1,3,8,9]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,2,1,3,8,9]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,2,1,3,8,9]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,2,1,4,5,9]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [7,8,6,3,2,1,4,5,9]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [7,6,8,3,2,1,4,5,9]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [6,7,8,3,2,1,4,5,9]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [8,7,5,3,2,1,4,6,9]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [7,8,5,3,2,1,4,6,9]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [8,6,5,3,2,1,4,7,9]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,2,1,4,8,9]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [5,6,7,3,2,1,4,8,9]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,2,1,5,6,9]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [7,8,4,3,2,1,5,6,9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [8,6,4,3,2,1,5,7,9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [7,6,4,3,2,1,5,8,9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [6,7,4,3,2,1,5,8,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,2,1,6,7,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,2,1,6,8,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,1,7,8,9]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,4,3,2,1,7,8,9]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [8,4,5,3,2,1,6,7,9]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [6,4,5,3,2,1,7,8,9]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [5,4,6,3,2,1,7,8,9]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,5,6,3,2,1,7,8,9]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,2,1,5,6,9]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [7,8,3,4,2,1,5,6,9]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [6,5,3,4,2,1,7,8,9]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [8,4,3,5,2,1,6,7,9]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1,7,8,9]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,2,1,7,8,9]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,2,1,6,7,9]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,2,1,7,8,9]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,2,1,7,8,9]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,2,3,1,4,5,9]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,2,3,1,5,7,9]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [5,6,4,2,3,1,7,8,9]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [6,5,3,2,4,1,7,8,9]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [7,4,3,2,5,1,6,8,9]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,6,1,7,8,9]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [4,5,3,2,6,1,7,8,9]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [4,3,5,2,6,1,7,8,9]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,2,6,1,7,8,9]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [8,7,2,3,4,1,5,6,9]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,3,4,1,5,6,9]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [7,6,2,3,4,1,5,8,9]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [8,5,2,3,4,1,6,7,9]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,5,2,3,4,1,7,8,9]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [5,6,2,3,4,1,7,8,9]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [7,4,2,3,5,1,6,8,9]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,3,6,1,7,8,9]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,5,2,3,6,1,7,8,9]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [8,3,2,4,5,1,6,7,9]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,3,2,4,5,1,7,8,9]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,5,6,1,7,8,9]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,5,6,1,7,8,9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,5,1,6,7,9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,4,5,1,6,8,9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [6,2,3,4,5,1,7,8,9]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,6,1,7,8,9]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,6,1,7,8,9]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,1,2,3,4,9]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,1,2,3,4,9]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,1,2,3,4,9]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,1,2,3,4,9]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,1,2,3,4,9]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,1,2,3,5,9]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,1,2,3,6,9]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,1,2,3,7,9]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,1,2,3,8,9]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,1,2,3,8,9]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [7,5,6,4,1,2,3,8,9]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,1,2,3,8,9]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [6,7,4,5,1,2,3,8,9]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,1,2,3,8,9]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,1,2,4,5,9]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [6,7,8,3,1,2,4,5,9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [8,7,5,3,1,2,4,6,9]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,1,2,4,8,9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,1,2,6,8,9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,1,2,7,8,9]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [5,6,4,3,1,2,7,8,9]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [7,4,5,3,1,2,6,8,9]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [5,6,3,4,1,2,7,8,9]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,1,2,7,8,9]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [4,5,3,6,1,2,7,8,9]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [6,3,4,5,1,2,7,8,9]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,5,6,1,2,7,8,9]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,2,1,3,4,5,9]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [7,8,6,2,1,3,4,5,9]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [6,7,8,2,1,3,4,5,9]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [7,6,5,2,1,3,4,8,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,2,1,3,5,7,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [7,6,4,2,1,3,5,8,9]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [6,5,4,2,1,3,7,8,9]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [7,4,5,2,1,3,6,8,9]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [5,4,6,2,1,3,7,8,9]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [4,5,6,2,1,3,7,8,9]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [8,6,3,2,1,4,5,7,9]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [7,6,3,2,1,4,5,8,9]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [6,5,3,2,1,4,7,8,9]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [5,6,3,2,1,4,7,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [7,4,3,2,1,5,6,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [6,4,3,2,1,5,7,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,1,6,7,8,9]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [4,5,3,2,1,6,7,8,9]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [5,3,4,2,1,6,7,8,9]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [4,3,5,2,1,6,7,8,9]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,2,1,6,7,8,9]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [8,7,2,3,1,4,5,6,9]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [7,6,2,3,1,4,5,8,9]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,3,1,6,7,8,9]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [4,5,2,3,1,6,7,8,9]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [5,3,2,4,1,6,7,8,9]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,5,1,6,7,8,9]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,5,1,6,7,8,9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,1,5,6,7,9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,4,1,5,6,8,9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [6,2,3,4,1,5,7,8,9]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [5,2,3,4,1,6,7,8,9]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,1,6,7,8,9]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,1,6,7,8,9]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,1,2,3,4,5,9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [7,8,6,1,2,3,4,5,9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [7,6,8,1,2,3,4,5,9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,7,8,1,2,3,4,5,9]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [8,7,5,1,2,3,4,6,9]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [8,6,5,1,2,3,4,7,9]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [6,5,7,1,2,3,4,8,9]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [5,6,7,1,2,3,4,8,9]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [8,7,4,1,2,3,5,6,9]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,1,2,3,5,7,9]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [6,5,4,1,2,3,7,8,9]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [5,6,4,1,2,3,7,8,9]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [7,4,5,1,2,3,6,8,9]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [5,4,6,1,2,3,7,8,9]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [4,5,6,1,2,3,7,8,9]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [7,8,3,1,2,4,5,6,9]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [7,5,3,1,2,4,6,8,9]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [6,5,3,1,2,4,7,8,9]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [5,6,3,1,2,4,7,8,9]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [6,4,3,1,2,5,7,8,9]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,1,2,6,7,8,9]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [4,5,3,1,2,6,7,8,9]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [8,3,4,1,2,5,6,7,9]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [5,3,4,1,2,6,7,8,9]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [4,3,5,1,2,6,7,8,9]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [3,4,5,1,2,6,7,8,9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [8,7,2,1,3,4,5,6,9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,1,3,4,5,6,9]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [7,6,2,1,3,4,5,8,9]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [6,5,2,1,3,4,7,8,9]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [5,6,2,1,3,4,7,8,9]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [7,4,2,1,3,5,6,8,9]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [6,4,2,1,3,5,7,8,9]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,1,3,6,7,8,9]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [4,5,2,1,3,6,7,8,9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [8,3,2,1,4,5,6,7,9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [7,3,2,1,4,5,6,8,9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [6,3,2,1,4,5,7,8,9]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [5,3,2,1,4,6,7,8,9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,1,5,6,7,8,9]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2,1,5,6,7,8,9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,1,4,5,6,7,9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [7,2,3,1,4,5,6,8,9]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [5,2,3,1,4,6,7,8,9]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,1,5,6,7,8,9]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,1,5,6,7,8,9]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [8,7,1,2,3,4,5,6,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,8,1,2,3,4,5,6,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [8,6,1,2,3,4,5,7,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [7,6,1,2,3,4,5,8,9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [6,7,1,2,3,4,5,8,9]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [8,5,1,2,3,4,6,7,9]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7,8,9]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [8,4,1,2,3,5,6,7,9]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [7,4,1,2,3,5,6,8,9]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [5,4,1,2,3,6,7,8,9]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [4,5,1,2,3,6,7,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [8,3,1,2,4,5,6,7,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [7,3,1,2,4,5,6,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [6,3,1,2,4,5,7,8,9]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [5,3,1,2,4,6,7,8,9]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [4,3,1,2,5,6,7,8,9]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [8,2,1,3,4,5,6,7,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [7,2,1,3,4,5,6,8,9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [6,2,1,3,4,5,7,8,9]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [5,2,1,3,4,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [4,2,1,3,5,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8,9]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,7,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,5,6,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [6,1,2,3,4,5,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,9,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,2,9,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [8,6,7,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [8,7,5,6,9,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,9,3,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,9,2,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,3,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [8,6,5,7,9,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,6,9,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [8,5,6,7,9,4,3,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,5,9,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,6,9,3,2,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,2,4,9,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [7,6,5,8,9,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,7,9,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [6,7,5,8,9,4,3,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,3,6,9,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,4,3,2,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,2,5,9,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,3,6,9,2,1]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,7,9,3,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [8,7,4,3,5,6,9,2,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,2,4,5,9,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,9,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,8,9,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,8,9,3,2,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,3,2,6,9,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,6,9,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,3,7,9,2,1]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,6,7,9,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,9,2,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,3,2,7,9,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,8,9,2,1]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,5,7,8,9,3,2,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,2,6,9,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,3,2,7,9,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [8,5,3,4,6,7,9,2,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,2,6,7,9,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,2,8,9,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,2,8,9,1]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,9,3,2,1]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8,4,3,5,6,7,9,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,3,2,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [8,5,3,4,6,2,7,9,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [8,7,2,3,4,5,6,9,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,2,8,9,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,7,8,9,1]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,3,8,9,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,3,4,5,7,8,9,2,1]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,4,3,6,7,8,9,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [9,8,6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [8,9,6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [9,6,7,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [8,9,7,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [7,8,9,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [9,8,5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [9,7,8,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,5,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,8,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [8,9,6,7,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [7,8,9,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,3,4,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,4,5,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,4,5,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [7,8,9,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [9,8,3,4,5,6,7,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [8,9,3,4,5,6,7,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,8,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [9,8,6,7,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [8,9,7,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,5,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,8,2,3,1]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,2,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [9,8,5,6,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,2,3,4,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [7,8,9,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,2,3,4,5,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [9,8,7,2,3,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,2,3,4,5,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [9,8,2,3,4,5,6,7,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,3,4,5,6,7,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [9,8,6,7,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [8,9,6,7,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [9,6,7,8,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [7,8,9,5,6,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,4,3,1,2]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,3,1,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,6,3,1,2]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,8,3,1,2]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,3,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [8,9,7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [7,8,9,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [9,8,5,6,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,3,4,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,3,4,5,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [7,8,9,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [9,8,3,4,5,6,7,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [8,9,3,4,5,6,7,1,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,8,1,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [8,9,7,5,6,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [8,9,4,5,6,7,1,2,3]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,1,2,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [9,6,7,8,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [7,8,9,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [9,8,5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,1,2,3,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [8,9,7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [9,7,8,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [7,8,9,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,1,2,3,4,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [9,8,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [8,9,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [9,7,8,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,1,2,3,4,5,6]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,2,1,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,2,1,8]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,2,3,1,4]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,4,2,1,5]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [9,8,5,6,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [9,6,7,5,4,3,2,1,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,3,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,2,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,2,3,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,2,1,3]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,3,2,1,6,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,2,1,4,5]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,2,1,3,4]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [9,8,6,1,2,3,4,5,7]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,1,2,3,4,6]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,1,2,3,5]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,1,2,4]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [8,9,5,4,3,2,1,6,7]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,9,1,2]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,2,7,1,8]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,2,1,3]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,2,1,3,4]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,2,1,3,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,2,1,3,4,5,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,2,5,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,5,2,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [8,9,7,6,4,3,2,1,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,5,1,2]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,2,3,8,9,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,1,2,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,2,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,9,6,5,4,3,2,1,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,9,1,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,3,2,1,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,8,9,2,1,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,8,9,1,2]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,3,9,1,2]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,3,4,5,1,6,7]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,8,9,1,2,3]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,2,3,1,4,5,6]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,1,2,3,4]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [8,7,9,1,2,3,4,5,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [7,6,8,9,1,2,3,4,5]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,9,1,2,3]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,3,4,2,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [8,9,6,1,2,3,4,5,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,1,2,3,5,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [9,7,6,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [9,8,6,5,7,4,3,2,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,3,1,2]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [8,9,6,5,7,4,3,2,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,3,2,1,4]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,2,1,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,2,3,1,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,5,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,2,3,1,7]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,2,3,1,5]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,2,1,3]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,2,3,5,1,6]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [9,6,4,5,7,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,5,2,3,1,7]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,6,7,9,4,2,3,1,5]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,7,2,1,3]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,2,3,5,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,3,2,1,4]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,5,4,3,2,1,6,7,8]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,3,2,1,7,8]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,2,1,3]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,3,9,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,4,9,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [6,7,8,5,9,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [7,8,6,9,5,4,3,2,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,1,2,3]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,1,2,3,4]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,2,1,3,4,5]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [8,7,9,3,2,1,4,5,6]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [8,9,4,3,2,1,5,6,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,3,6,2,1,7]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,8,9,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [7,5,4,6,8,9,1,2,3]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [9,7,6,5,8,1,2,3,4]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,2,3,4,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [9,8,7,2,1,3,4,5,6]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,2,1,3,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [8,7,9,2,1,3,4,5,6]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,2,3,9,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,2,1,3,4]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [8,9,7,6,2,1,3,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [8,9,7,2,1,3,4,5,6]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [9,6,5,7,8,4,3,2,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,4,3,2,9,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,3,6,7,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,3,9,2,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,2,4,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,2,1,3]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,2,3,8,9,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [6,7,5,3,4,8,9,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [6,7,4,5,8,9,3,2,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,3,2,5,6,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,3,5,6,2,1]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [7,6,8,9,3,2,1,4,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,9,3,2,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [8,9,7,5,4,3,2,1,6]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,9,6,5,4,3,2,7,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,9,2,1]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,2,1,3,5]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7,8,3,4,5,6,9,2,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [8,9,3,4,5,6,2,7,1]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [9,7,3,4,5,6,8,1,2]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [9,8,3,4,5,6,1,2,7]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,3,6,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [9,6,7,5,8,3,4,1,2]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,2,3,1,4,5]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,9,2,1,3]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [9,4,3,5,6,7,8,1,2]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,3,1,2,7,8]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,6,7,9,1,2]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,9,2,1,3]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,9,1,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,2,8,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,4,3,5,2,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [8,7,9,5,4,3,2,6,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,3,2,1,4,5]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,3,2,1,4]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,3,5,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,3,9,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,3,8,2,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [9,7,5,6,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [9,6,5,7,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [9,7,6,8,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [9,5,6,7,4,3,2,1,8]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,3,2,5,8,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,5,4,3,2,6,7,8,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,4,3,1,2]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,4,2,1,3]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,4,2,3,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [7,6,8,5,9,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,9,3,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,3,9,2,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,2,9,1]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,2,1,3,4]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [8,7,9,5,4,3,2,1,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [8,9,7,2,3,1,4,5,6]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,1,2,3,4]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [9,8,6,2,1,3,4,5,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [9,8,6,2,3,1,4,5,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,1,2,3,4,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [9,8,4,3,2,1,5,6,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [9,8,6,3,2,1,4,5,7]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,2,1,3,4,6]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,2,3,5,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,3,2,1,4]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,3,4,7,2,1]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,9,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,4,2,3,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [8,7,9,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [9,8,6,5,7,3,4,1,2]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,2,1,3,4]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,3,4,1,2,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [8,4,5,6,7,9,1,2,3]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [8,6,7,5,9,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [7,5,6,8,4,9,3,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [6,4,5,7,8,3,9,2,1]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,3,2,9,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,3,2,1,6]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [8,9,4,5,6,3,2,1,7]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,3,2,1,8]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [9,6,4,3,2,1,5,7,8]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,5,4,3,2,6,1,7,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [9,8,4,1,2,3,5,6,7]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [9,6,7,5,8,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,6,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,4,3,1,2]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,4,2,5,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,3,6,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [9,8,5,6,4,7,3,2,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [7,8,9,3,1,2,4,5,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,4,2,1,3]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,3,1,2,6]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,3,4,2,1,7]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,7,9,3,1,2]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [8,6,5,7,9,4,1,2,3]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,1,2,3,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,3,2,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [7,8,5,6,9,4,3,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [6,7,8,3,4,5,9,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [7,8,4,5,6,9,3,2,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,4,1,2,5,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [9,8,5,3,4,6,7,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [9,6,5,7,8,3,4,1,2]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,2,3,1,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,1,2,5]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [9,8,4,5,3,2,1,6,7]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [6,7,8,2,3,4,5,9,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,3,2,4,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,6,2,1,3]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,6,3,1,2]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [9,5,6,7,1,2,3,4,8]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,3,2,9,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,7,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,3,4,8,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,5,8,3,2,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,3,2,6,7,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,7,2,3,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,2,3,7,8,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [9,7,6,5,8,2,3,4,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,1,2,3,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,2,3,4,9,1]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,2,1,3,4,5]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,3,4,5,6,9,1]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,3,9,2,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,4,2,1,3]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [6,5,7,8,9,4,3,1,2]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [7,4,5,6,8,9,1,2,3]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [8,9,7,5,4,3,2,6,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,5,4,3,2,6,7,1,8]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [9,7,4,3,2,1,5,6,8]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,7,8,2,9,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,1,2,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [9,7,5,6,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,4,1,2,5]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,2,3,1,4,6]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,3,6,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [9,8,5,6,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,3,4,1,2,5]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,7,1,2,3]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,4,2,5,1]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [9,6,5,3,2,4,7,1,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [9,8,5,3,2,4,6,1,7]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [9,6,5,3,4,7,2,1,8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [9,8,5,3,4,6,2,1,7]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [6,7,8,5,9,4,3,1,2]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,2,1,3,8]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,2,3,1,8]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [9,5,6,7,4,8,3,2,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,2,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [9,6,7,5,4,3,2,8,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,3,2,1,4]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,8,9,2,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [9,7,8,6,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,3,2,1,4]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [9,7,6,5,8,4,2,1,3]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,8,3,1,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,8,2,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,3,2,1,4]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,4,2,1,3]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,3,2,1,5,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,3,2,1,6,8]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [9,8,7,2,3,1,4,5,6]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,2,1,3]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,2,1,8]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [9,6,7,1,2,3,4,5,8]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [7,5,4,3,2,6,8,9,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [9,7,5,6,8,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [9,6,4,5,7,8,3,2,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,2,3,4,1,5,6]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [8,6,7,9,1,2,3,4,5]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [8,6,7,5,4,3,2,9,1]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,1,2,8]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [7,6,4,3,2,5,8,9,1]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [6,7,8,3,4,5,9,1,2]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,2,3,4,1,5]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [9,5,6,7,2,3,4,1,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [8,7,9,4,5,6,1,2,3]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,8,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [8,6,7,5,9,3,4,1,2]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [7,5,6,8,9,4,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [7,6,4,5,8,9,3,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [8,7,9,6,1,2,3,4,5]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,1,2,3]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [7,8,9,3,2,1,4,5,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,2,1,3,4,8]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,2,9,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,3,4,1,2]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,9,2,3,1]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,2,1,3,7,8]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,4,3,1,2]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,2,1,3,4]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,6,3,7,2,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,3,2,1,4,5]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,1,2,3,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,2,1,3]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,2,3,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,3,4,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,4,5,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [8,7,9,5,6,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,5,8,3,2,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,3,6,2,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,5,7,2,3,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,2,3,6,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,2,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,2,7,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,4,2,3,1,5]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,4,9,2,1,3]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,3,8,2,9,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,5,2,3,1,6]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [7,8,6,4,5,9,2,1,3]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,4,2,3,9,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8,3,4,5,6,7,2,9,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [8,9,7,5,4,3,6,2,1]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,2,3,1,4,5]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,2,3,1,4]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,1,2,7,8]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [7,8,6,5,9,4,3,2,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,2,4,1,5]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,3,2,1,4,8]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7,8,3,4,5,6,2,9,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [6,7,3,4,5,2,8,9,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [8,9,3,2,4,5,6,7,1]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8,4,3,5,6,7,9,1,2]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [9,4,3,5,6,7,8,2,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [9,8,3,2,4,5,6,7,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [8,9,3,2,4,5,6,1,7]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [8,5,6,7,3,4,9,2,1]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [7,6,8,9,2,1,3,4,5]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [7,8,5,6,9,4,2,3,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,4,9,2,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,7,2,3,1]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,3,2,1,4]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,1,2,7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,2,3,1,4,5]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,4,2,1,5,6]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,7,3,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [8,9,5,3,4,6,7,2,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,3,7,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,3,5,7,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [8,9,6,3,4,5,7,2,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,2,7,8,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,7,8,2,1]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [9,6,3,2,4,5,1,7,8]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,3,2,4,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,3,4,2,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,3,2,4,1]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,9,1,2,3]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,3,1,2,6,7]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,4,6,2,1,3]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [8,9,6,3,4,5,7,1,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,3,4,6,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,3,5,1,2]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,3,5,6,2,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [8,9,5,2,3,4,6,7,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,2,3,5,6,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,3,2,4,5,1]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [7,6,5,8,9,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [9,7,6,5,8,3,2,1,4]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,8,2,1,3]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [9,7,5,6,8,3,2,1,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,5,8,2,1,3]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,3,4,8,1,2]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,2,3,8,1]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [9,6,5,7,8,3,2,1,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,6,8,2,1,3]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,3,2,1,4]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,3,5,8,1,2]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,6,8,2,1,3]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,3,2,4,8,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [9,7,6,3,4,5,8,1,2]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,2,3,4,8,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,2,3,1,5,6]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [9,6,4,5,2,3,1,7,8]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,2,3,1,6,8]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,4,3,2,9,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,4,2,3,9,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,3,2,1,7]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,4,3,9,1,2]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,3,2,7,8,1]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [8,5,6,7,9,1,2,3,4]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,2,4,5,1]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,4,2,1,3]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,1,2,3,6]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [9,7,8,3,4,1,2,5,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [9,7,8,3,4,2,5,1,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,1,2,4,6]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,2,4,1,6]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [8,9,5,4,3,2,6,7,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [8,9,7,4,3,2,1,5,6]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,2,1,3,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,3,6,2,1,8]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,5,3,2,1,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,7,1,2]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [9,4,5,6,7,8,2,1,3]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,2,1,3,4]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,2,1,3,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [9,7,8,2,1,3,4,5,6]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,3,1,2,4]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,3,1,2,4,5]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [9,5,6,7,8,3,2,4,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [9,7,8,3,1,2,4,5,6]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,3,2,4,5,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [9,7,8,3,2,4,5,6,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,4,3,2,1,5]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,3,2,1,5,6]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [6,5,7,4,2,3,8,9,1]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,1,2,3]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,4,2,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,3,2,9,1]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,3,2,9,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,3,7,1,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,3,6,1,2]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,2,3,1,5,8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [9,6,4,5,3,7,1,2,8]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,5,3,8,1,2]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [9,6,7,5,8,3,1,2,4]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,5,3,1,2,6]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,3,9,2,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8,4,3,5,6,7,2,9,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [9,8,4,5,6,1,2,3,7]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,2,3,4,5,1,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,9,6,5,4,3,1,2,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,2,3,1,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,4,9,2,3,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,4,2,9,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,4,9,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [7,8,5,6,9,3,4,1,2]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [7,5,6,8,4,9,2,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [7,8,5,3,4,6,2,9,1]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [7,8,5,6,9,3,1,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [9,7,5,6,8,3,4,1,2]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,5,3,2,1,7]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,3,4,2,1,6]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,4,9,3,2,1]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,2,3,8,9,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [7,5,4,2,3,6,8,9,1]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [5,6,4,7,2,3,8,9,1]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,4,9,1,2,3]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [7,8,5,4,3,2,6,9,1]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,3,8,2,9,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,2,3,7,9,1]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,8,2,3,9,1]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [9,6,7,3,4,5,8,1,2]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,1,2,4,5]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [8,9,5,4,6,7,1,2,3]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,2,3,7,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [9,8,5,3,2,1,4,6,7]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [9,6,5,3,2,1,4,7,8]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,7,2,3,1,8]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [6,7,5,4,8,9,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,3,2,4,1,5]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [9,6,7,5,3,4,1,2,8]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [9,6,7,5,3,1,2,4,8]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [7,8,5,6,3,2,4,9,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,3,1,2,6,8]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [6,7,5,8,9,4,2,3,1]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,3,6,8,1,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,3,4,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [9,7,5,6,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,4,2,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,2,4,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [8,9,5,3,4,6,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [7,5,6,8,3,4,2,9,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [8,7,5,6,3,4,2,9,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,3,4,2,6,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [9,7,5,6,8,3,2,4,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,4,6,2,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7,5,6,3,4,8,2,9,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7,4,5,3,6,8,2,9,1]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,3,2,1,5,8]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,5,6,4,3,2,7,1,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,3,1,2,6,8]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,7,1,2,8]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,2,1,4,5,6]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,3,5,1,2,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,3,4,1,2,6]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [9,7,5,6,8,3,1,2,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,4,6,1,2]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,7,2,3,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [9,8,5,6,4,3,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [8,9,7,6,4,3,5,2,1]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [9,6,4,3,5,7,1,2,8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,7,3,1,2,8]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,7,1,2,3,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [9,8,4,3,5,6,1,2,7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,6,3,1,2,7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,6,1,2,3,7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [9,8,5,1,2,3,4,6,7]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,1,2,3,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,3,2,1,5,8]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,3,2,1,5,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,3,5,9,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,4,8,9,1,2]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [9,7,4,2,3,5,1,6,8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [9,7,5,6,2,3,1,4,8]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,3,2,4,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,4,3,2,5,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [7,8,6,9,5,3,2,4,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [7,8,6,9,5,4,2,3,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [9,4,5,3,2,6,1,7,8]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [9,5,6,3,2,1,4,7,8]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [9,8,4,3,5,6,7,2,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,7,5,3,1,2,4,6,8]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [8,7,9,5,3,1,2,4,6]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [8,6,5,7,9,3,1,2,4]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [8,6,4,3,5,7,9,1,2]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,2,3,5,7,9,1]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,7,9,2,1,3]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,6,7,9,4,2,1,3,5]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,2,1,3,5,7]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [8,6,7,5,9,3,1,2,4]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,3,7,9,1,2]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [8,6,4,3,2,5,7,9,1]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [8,6,4,5,7,9,1,2,3]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,9,6,4,5,2,1,3,7]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,2,1,4,5]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [9,7,2,3,4,5,6,1,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [9,6,7,5,8,2,3,1,4]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,3,2,6,8,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [7,6,3,4,5,2,8,9,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,6,2,9,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,2,1,4]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [8,6,7,9,5,4,3,1,2]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,2,1,3,4]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [8,5,6,3,4,7,2,9,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [8,9,6,3,4,5,2,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,3,2,5,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [8,9,5,2,3,1,4,6,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [8,9,6,3,2,1,4,5,7]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,3,2,1,5]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,4,2,1,3]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,9,1,2,3]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [7,6,8,9,4,3,1,2,5]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,4,1,2,3]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [7,6,8,9,5,1,2,3,4]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [8,9,5,6,4,2,3,1,7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [8,7,9,4,5,2,3,1,6]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [8,5,4,6,7,3,2,9,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [8,5,4,3,6,7,2,9,1]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [6,5,3,4,7,8,9,1,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,9,1,2]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [9,7,5,4,1,2,3,6,8]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [9,7,6,3,1,2,4,5,8]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [9,7,6,4,1,2,3,5,8]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,1,2,3,4,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [9,8,5,3,1,2,4,6,7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [9,8,5,4,1,2,3,6,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [9,8,6,3,1,2,4,5,7]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,1,2,3,5,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,1,2,4,5,6]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [9,8,7,4,1,2,3,5,6]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [6,5,7,3,4,8,9,2,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [9,7,3,2,4,1,5,6,8]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,7,2,1,3]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [8,7,9,3,4,5,2,1,6]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [6,7,8,5,9,3,2,1,4]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [8,9,4,5,6,2,3,1,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [8,9,6,2,3,4,5,1,7]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [8,7,4,5,6,3,9,1,2]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [6,7,8,5,4,3,9,1,2]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [8,5,6,7,3,4,9,1,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8,7,3,4,5,6,9,1,2]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,4,3,9,1,2]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [7,6,5,8,9,2,1,3,4]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [8,9,4,5,3,6,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [6,7,5,8,3,4,2,9,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [8,7,9,6,4,5,3,2,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [9,7,8,4,1,2,3,5,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,2,1,3,4,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [9,8,6,4,2,1,3,5,7]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7,5,3,4,6,8,2,9,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [6,4,5,7,3,8,2,9,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [9,7,5,3,4,6,8,2,1]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [9,6,4,2,3,5,7,1,8]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [8,7,9,5,2,1,3,4,6]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,4,1,2,3,5]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,3,1,2,4]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,3,4,2,1,5]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,1,2,3,5]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [9,8,4,5,3,2,6,7,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [9,8,7,3,4,2,5,6,1]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,9,3,2,1]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [6,5,7,8,4,3,9,2,1]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,6,7,8,3,2,9,1]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [9,6,7,8,2,3,4,1,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [7,8,9,4,5,3,6,1,2]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [9,8,5,6,2,3,4,1,7]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,4,5,1,2,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,5,3,8,1,2]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [8,9,5,6,7,2,1,3,4]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [9,7,6,8,5,4,1,2,3]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [8,5,6,7,4,3,9,2,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [8,7,9,3,4,5,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [8,7,9,4,5,3,2,6,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,7,8,3,2,1]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,3,1,2,4]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,4,1,2,3,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,1,2,3,4,6]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [9,7,5,2,3,1,4,6,8]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [9,7,4,5,2,3,6,1,8]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [9,6,7,4,2,3,5,8,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,4,2,3,1,5]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [6,7,8,5,9,1,2,3,4]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [7,8,9,3,4,5,1,2,6]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [8,9,4,5,1,2,3,6,7]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,6,3,4,7,8,9,1,2]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [9,6,5,4,3,7,2,8,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,3,4,2,1]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [8,6,7,9,4,3,2,1,5]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [7,8,9,5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [7,8,9,6,4,3,2,5,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [7,8,4,3,2,5,6,9,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,3,2,4,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [7,8,6,9,3,2,4,5,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [7,8,6,9,5,2,3,4,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [9,7,3,2,4,5,6,1,8]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [9,7,8,6,4,2,3,1,5]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [9,8,4,3,5,6,2,1,7]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [7,6,3,4,2,5,8,9,1]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,2,4,8,9,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,3,8,2,9,1]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [5,6,7,4,3,8,2,9,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,3,8,2,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [10,2,1,3,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [10,3,1,2,4,5,6,7,8,9]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,1,4,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [3,4,2,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [10,4,1,2,3,5,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [10,3,2,1,4,5,6,7,8,9]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,1,5,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [5,2,3,4,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,2,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [10,5,1,2,3,4,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [10,4,2,1,3,5,6,7,8,9]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [10,3,2,4,1,5,6,7,8,9]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,1,6,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [6,2,3,4,5,7,8,9,10,1]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [5,3,2,4,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [4,5,2,3,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,2,6,7,8,9,10,1]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,2,7,8,9,10,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [10,6,1,2,3,4,5,7,8,9]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [10,4,3,1,2,5,6,7,8,9]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [10,3,4,2,1,5,6,7,8,9]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,6,1,7,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [7,2,3,4,5,6,8,9,10,1]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [5,4,2,3,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [5,3,4,2,6,7,8,9,10,1]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [4,5,3,2,6,7,8,9,10,1]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,2,8,9,10,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [10,7,1,2,3,4,5,6,8,9]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [10,4,5,1,2,3,6,7,8,9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [10,4,3,2,1,5,6,7,8,9]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [10,3,4,5,1,2,6,7,8,9]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,6,7,1,8,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,2,3,4,5,6,7,9,10,1]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [5,6,2,3,4,7,8,9,10,1]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,6,7,8,9,10,1]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [4,5,3,6,2,7,8,9,10,1]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,9,10,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [10,8,1,2,3,4,5,6,7,9]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,6,7,8,1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [9,10,1,2,3,4,5,6,7,8]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,4,5,6,7,8,10,1]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [6,3,4,5,2,7,8,9,10,1]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [4,5,6,3,2,7,8,9,10,1]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,1,2]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,2,10,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [10,9,1,2,3,4,5,6,7,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [10,8,2,1,3,4,5,6,7,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [9,10,2,1,3,4,5,6,7,8]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,6,7,8,9,10,1,2]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,6,7,8,9,2,10,1]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [9,8,10,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [9,8,7,10,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [9,8,7,6,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,10,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,10,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,10,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,2,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,2,1,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [8,9,10,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [9,7,8,10,6,5,4,3,2,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,2,3,10,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,1,2,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [8,7,9,10,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [7,8,9,10,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [9,8,6,5,7,10,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [9,8,7,5,4,6,10,3,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,5,10,2,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,3,2,4,10,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,2,1,3,10]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,1,2,3,10]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [8,7,6,9,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [7,8,6,9,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [7,6,8,9,10,5,4,3,2,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,3,2,1,4,10]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,2,3,1,4,10]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,2,1,3,4,10]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,9,10,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,9,10,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,5,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,2,1,5,10]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,3,4,2,1,5,10]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,1,2,3,4,10]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,3,2,1,4,5,10]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,9,10,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,9,10,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [9,8,7,5,4,3,2,1,6,10]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,5,3,2,1,6,10]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,3,2,1,5,6,10]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,10,2,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,3,9,10,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,9,10,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [9,8,6,5,4,3,2,1,7,10]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,10,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [9,8,5,6,4,3,2,1,7,10]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [9,6,4,5,7,3,8,10,2,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,2,1,3,4,5,10]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,1,2,3,4,5,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [9,8,5,4,3,2,1,6,7,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,2,9,10,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9,7,6,5,4,3,2,1,8,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,3,2,9,10,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [9,6,7,5,4,3,2,1,8,10]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [9,8,4,5,6,3,2,1,7,10]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [9,6,5,4,3,2,7,1,8,10]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,2,8,9,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [9,6,5,4,3,2,1,7,8,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [10,9,7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [9,10,7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [10,7,8,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [10,9,8,6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [10,9,8,5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [10,5,6,7,8,9,4,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [10,9,8,6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,5,6,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [10,8,9,4,5,6,7,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [10,4,5,6,7,8,9,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,3,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,6,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,4,2,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,3,4,5,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,3,4,5,6,2,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [10,9,8,3,4,5,6,7,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [9,10,3,4,5,6,7,8,2,1]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [10,3,4,5,6,7,8,9,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [8,9,10,7,6,5,4,2,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [9,10,8,5,6,7,4,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [10,9,8,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [8,9,10,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,4,5,6,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [10,9,8,4,5,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,2,3,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [8,9,10,5,6,7,2,3,4,1]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,10,2,3,4,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,2,3,4,5,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,2,3,4,5,6,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,2,3,4,5,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [10,9,8,2,3,4,5,6,7,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [10,9,2,3,4,5,6,7,8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [9,10,2,3,4,5,6,7,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [8,9,10,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [10,9,7,8,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [10,7,8,9,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [7,8,9,10,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,5,4,3,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,5,3,1,2]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [9,10,8,4,5,6,7,3,1,2]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [10,4,5,6,7,8,9,3,1,2]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,3,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [9,10,7,8,6,5,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [10,9,8,5,6,7,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [8,9,10,5,6,7,3,4,1,2]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,3,4,5,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [9,10,6,7,8,3,4,5,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,3,4,5,6,1,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [10,9,3,4,5,6,7,8,1,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [9,10,3,4,5,6,7,8,1,2]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [10,3,4,5,6,7,8,9,1,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,1,2,3]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [10,5,6,7,8,9,4,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,1,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [8,9,10,6,7,4,5,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,4,5,6,1,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [8,9,10,4,5,6,7,1,2,3]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [10,4,5,6,7,8,9,1,2,3]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,1,2,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [7,8,9,10,6,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,5,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,5,6,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [8,9,10,5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,7,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,8,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [10,5,6,7,8,9,1,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,10,1,2,3,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [10,7,8,9,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [7,8,9,10,6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [9,10,8,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [8,9,10,7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [10,9,8,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [9,10,8,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [10,8,9,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [8,9,10,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,2,1,3]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,2,1,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,3,2,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [10,9,8,6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,2,1,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,6,4,3,2,1,7,8,9,10]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,1,2,7,8,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [6,7,5,4,3,2,1,8,9,10]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,1,2,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,3,2,1,10]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [3,4,2,1,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [4,3,1,2,5,6,7,8,9,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [9,8,10,7,6,5,4,3,1,2]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,8,10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [9,2,1,3,4,5,6,7,8,10]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9,10]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9,10]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9,10]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9,10]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1,9,10]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,2,9,1,10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [10,9,7,6,8,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [10,8,7,6,9,5,4,3,2,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,2,5,1,10]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,5,2,1,10]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,5,3,2,1,10]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,7,8,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7,8,9,6,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [7,6,8,9,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [7,6,5,8,9,4,3,2,1,10]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,8,9,3,2,1,10]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,8,9,2,1,10]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,2,8,9,1,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,2,1,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [8,1,2,3,4,5,6,7,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [7,1,2,3,4,5,6,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [6,1,2,3,4,5,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9,10]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,3,5,2,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,3,2,5,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,9,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [9,7,6,5,8,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [9,8,6,5,7,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [9,8,7,5,6,4,3,2,1,10]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [9,3,2,1,4,5,6,7,8,10]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,1,10]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,2,3,1,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [9,10,6,7,4,5,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,4,5,2,3,1,10]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [10,8,6,7,4,5,2,3,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,4,5,2,3,1,7]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,2,3,1,5]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,2,1,3]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,2,1,10]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [8,7,6,9,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,9,3,2,1,10]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,2,1,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,2,1,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [8,7,5,6,9,4,3,2,1,10]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [8,7,6,4,5,9,3,2,1,10]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,3,4,9,2,1,10]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,2,3,9,1,10]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,1,2,9,10]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [4,5,1,2,3,6,7,8,9,10]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [4,5,6,1,2,3,7,8,9,10]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [5,6,7,1,2,3,4,8,9,10]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,1,2,3,4,9,10]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,1,2,3,4,5,10]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [6,5,7,4,8,3,9,2,10,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [7,6,8,4,3,5,9,2,10,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,9,3,2,4,10,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [8,7,9,4,3,5,2,6,10,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [8,7,9,5,3,2,4,6,10,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,3,7,2,8,10,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [9,6,4,3,5,7,2,8,10,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,3,2,4,8,10,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [9,7,4,3,5,2,6,8,10,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,2,4,6,8,10,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,9,4,10,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [8,7,9,5,4,6,10,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,4,8,10,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,6,8,10,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [8,7,9,6,10,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [8,7,9,6,10,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,4,2,1,3,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [9,8,10,4,3,5,2,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,3,2,4,6,1,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,4,6,2,1,3,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,3,2,4,1,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,4,2,1,3,5,7]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,2,1,3,5,7,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,4,3,2,1,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [10,5,4,3,2,1,6,7,8,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [10,6,5,4,3,2,1,7,8,9]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,1,5,6,7,8,9,10]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,1,10]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [9,3,1,2,4,5,6,7,8,10]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,1,4,5,6,7,8,10]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,1,10]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [3,4,2,5,6,7,8,9,1,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,2,1,3]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,1,7,8,9,10]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,1,2,6,7,8,9,10]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,5,4,7,8,9,10,1,2,3]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,9,10,1,2,3,4]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [4,2,1,3,5,6,7,8,9,10]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,7,8,9,1,10]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,6,7,8,9,1,10]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,6,7,8,9,10,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [5,4,6,7,8,9,10,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [7,8,9,1,2,3,4,5,6,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [7,8,1,2,3,4,5,6,9,10]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,1,8,9,10]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [4,2,3,5,6,7,1,8,9,10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [5,2,3,4,6,7,1,8,9,10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [6,2,3,4,5,7,1,8,9,10]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [9,8,2,3,4,5,6,7,1,10]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [9,8,7,3,4,5,6,2,1,10]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,3,4,2,1,10]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,10,1,2]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,3,2,1,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [9,8,6,7,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,5,4,3,2,1,6]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,3,2,5,6,1,10]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,3,5,6,2,1,10]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,5,6,3,2,1,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,5,4,3,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,3,2,8,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,9,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,4,3,5,2,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,4,3,2,5,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,4,3,2,1,5]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,1,6,7,8,9,10]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,1,5,6,7,8,9,10]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [8,3,2,1,4,5,6,7,9,10]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,1,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [5,6,7,4,3,2,1,8,9,10]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,3,2,1,8,9,10]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,3,2,1,9,10]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,1,9,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,9,1,2,3,4,5,6,7,10]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,1,2,3,4,10]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,1,2,3,10]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2,10]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [5,2,3,4,6,7,8,9,1,10]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [6,2,3,4,5,7,8,1,9,10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [7,2,3,4,5,6,1,8,9,10]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,2,3,4,5,1,6,7,9,10]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,4,1,5,6,7,8,10]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,3,2,1,5,9]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,3,2,5,1,9]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,3,5,2,1,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,5,3,2,1,9]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,7,1,8,9,10]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [6,4,3,2,1,5,7,8,9,10]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,7,8,1,9,10]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [6,5,3,2,1,4,7,8,9,10]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,2,1,3,7,8,9,10]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [5,3,1,2,4,6,7,8,9,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,5,4,3,1,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [10,9,6,5,4,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [10,9,8,5,4,3,2,1,6,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,3,2,1,5,6]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,3,2,1,4,5]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,2,1,3,4]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,10,7,6,5,4,3,2,1,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,2,1,3,4,5,6]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [10,9,8,2,1,3,4,5,6,7]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [10,9,5,4,3,2,1,6,7,8]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8,7,5,4,3,2,1,6,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [6,5,7,4,3,2,1,8,9,10]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,2,1,8,9,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [10,8,7,9,5,6,3,4,1,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,2,1,3,4]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [7,5,4,3,2,1,6,8,9,10]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [7,4,3,2,1,5,6,8,9,10]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,6,7,1,8,9,10]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,3,2,8,9,10,1]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,3,2,9,10,1]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,3,2,10,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [10,9,8,6,5,7,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,6,3,2,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,2,4,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,2,1,3,4,5,6]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,2,9,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,3,2,6,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,3,6,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [8,9,7,10,6,5,4,3,2,1]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [5,4,6,3,2,1,7,8,9,10]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [9,5,4,3,2,1,6,7,8,10]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,6,2,1,7,8,9,10]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [8,5,4,3,2,1,6,7,9,10]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,6,1,7,8,9,10]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,3,5,1,2]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [6,7,5,4,3,1,2,8,9,10]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,8,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,5,9,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,3,8,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,3,4,9,2,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [8,9,10,4,5,6,1,2,3,7]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7,8,9,6,5,4,3,10,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [7,8,9,6,5,10,4,3,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,10,7,6,5,4,3,2,8,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [10,9,7,6,8,4,5,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [9,10,3,1,2,4,5,6,7,8]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,1,2,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,3,4,1,2,6]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,3,4,1,2,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,3,4,1,2,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [10,7,8,5,6,3,4,1,2,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,6,3,4,1,2,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,3,4,1,2,5]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,1,2,9]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,5,3,6,2,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,5,3,2,6,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,5,3,2,1,6]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,2,3,8,9,10,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [7,6,5,2,3,4,8,9,1,10]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8,7,6,3,4,5,9,2,1,10]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8,7,3,4,5,6,2,1,9,10]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [9,4,5,6,3,2,1,7,8,10]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [10,5,6,4,3,2,1,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [10,8,7,6,9,5,3,2,1,4]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,9,4,2,1,3]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,9,3,1,2]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [10,9,2,1,3,4,5,6,7,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [9,8,2,1,3,4,5,6,7,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [8,7,2,1,3,4,5,6,9,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [7,6,2,1,3,4,5,8,9,10]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [6,5,2,1,3,4,7,8,9,10]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [5,4,2,1,3,6,7,8,9,10]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,1,2,6,7,8,9,10]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [7,8,9,2,3,4,5,6,10,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [7,8,2,3,4,5,6,9,10,1]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,7,1,2,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [10,8,6,7,9,5,4,3,2,1]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,10,1,2]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,2,1,3,8,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,4,3,2,1,9,10]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,2,1,3,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [9,7,8,6,5,4,3,2,1,10]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2,9,10]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,9,10,1,2,3,4]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [8,6,7,9,10,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [7,8,6,9,10,1,2,3,4,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7,8,4,5,6,9,10,1,2,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,3,2,10,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [8,2,1,3,4,5,6,7,9,10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [7,2,1,3,4,5,6,8,9,10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [6,2,1,3,4,5,7,8,9,10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [5,2,1,3,4,6,7,8,9,10]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,1,6,7,8,9,10]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,6,1,7,8,9,10]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,1,9,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [9,8,1,2,3,4,5,6,7,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [9,8,7,1,2,3,4,5,6,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,10,3,4,1,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,3,4,10,1,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,3,4,2,10,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,4,5,2,3,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,3,2,4,5,6,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,4,3,5,6,2,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,2,3,1,4]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,1,2,3,8,9,10]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,2,3,1,8,9,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,8,2,1,3,9,10]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [7,6,5,8,9,2,1,3,4,10]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,2,1,6,7,8,9,10]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,6,7,8,9,1,2,10]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [9,7,8,4,5,6,3,2,1,10]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [9,8,7,4,5,6,2,3,1,10]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,9,1,2]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,1,2,4]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [6,7,5,8,4,9,3,10,1,2]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [7,8,6,9,5,10,2,3,1,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [8,9,7,10,4,5,2,3,1,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [10,9,6,7,4,5,2,3,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [9,8,6,7,4,5,2,3,1,10]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,4,5,2,3,1,10]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,9,4,2,3,1,10]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [6,5,7,4,8,3,9,2,1,10]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [5,4,6,3,7,2,8,1,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [10,7,8,6,5,4,3,2,1,9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,4,3,1,2,8,9]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [8,6,4,2,1,3,5,7,9,10]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,2,3,1,9,10]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,2,3,4,1,10]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [10,4,3,5,6,7,8,9,1,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [9,10,3,2,4,5,6,7,8,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [7,6,5,8,4,3,2,1,9,10]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,2,8,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [6,7,8,5,4,3,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,4,3,2,1,9,10]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,4,5,2,3,10,1]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,4,5,10,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [8,9,6,7,10,4,5,2,3,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [9,8,7,6,10,5,4,3,1,2]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [9,10,6,7,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,8,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,6,4,7,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,4,5,7,3,2,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,4,5,6,7,8,1,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,4,3,2,8,9,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,4,3,8,9,2,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,5,4,1,2,3]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [8,9,6,5,4,3,2,1,7,10]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,1,2,10]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,3,4,6,1,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,3,4,6,8,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,3,4,6,1,2,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,3,4,1,2,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,3,1,2,4,6,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,8,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,8,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,3,1,2,4,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,3,4,8,1,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,10,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,10,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,3,1,2,4,10]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,3,4,10,1,2]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,3,4,1,2,10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,3,4,1,2,8,10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,3,1,2,4,8,10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,6,1,2,8,10]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,1,2,6,8,10]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,3,4,8,10,1,2]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,3,4,8,1,2,10]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,1,2,4,6,8,10]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,6,8,10,1,2]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,6,8,1,2,10]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,3,4,6,10,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,3,4,6,1,2,10]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,3,4,1,2,6,10]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,3,1,2,4,6,10]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,10,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9,7,8,5,6,3,1,2,4,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [10,8,7,9,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [10,8,7,6,9,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,9,3,2,1,4]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,9,2,1,3]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [10,8,6,7,9,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [10,8,7,5,6,9,3,2,1,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,4,5,9,2,1,3]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,3,4,9,1,2]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,2,3,9,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,2,3,1,10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,4,3,2,1,9,10]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,4,3,1,2,9,10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,3,4,1,2,9,10]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [9,10,2,3,1,4,5,6,7,8]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [7,5,4,3,2,6,1,8,9,10]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8,5,4,3,6,2,1,7,9,10]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,3,2,1,7,8,10]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [8,4,3,5,6,2,1,7,9,10]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [7,4,3,2,5,6,1,8,9,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [9,7,1,2,3,4,5,6,8,10]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [9,8,6,1,2,3,4,5,7,10]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [9,8,7,5,1,2,3,4,6,10]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,1,2,3,5,10]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,3,1,2,4,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,3,2,1,6,8,10]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,2,1,4,6,8,10]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [4,2,3,5,6,7,8,1,9,10]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,4,5,6,7,1,8,10]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [4,2,3,1,5,6,7,8,9,10]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [5,2,3,4,1,6,7,8,9,10]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [6,2,3,4,5,1,7,8,9,10]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,4,5,1,2,3,6]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8,6,5,4,3,2,1,7,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [9,10,6,5,4,3,2,1,7,8]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [9,4,3,2,1,5,6,7,8,10]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [9,3,4,5,6,7,8,1,2,10]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [8,9,2,3,4,5,6,7,1,10]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,3,1,2,9,10]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,2,4,1]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [10,4,5,6,7,8,9,2,1,3]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [10,5,6,7,8,9,2,1,3,4]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,2,1,3,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,2,1,3,4,5,6]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [10,8,9,2,1,3,4,5,6,7]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [5,4,2,3,6,7,8,9,1,10]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,2,3,7,8,9,1,10]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,2,3,8,9,1,10]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9,7,6,5,4,3,1,2,8,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,10,7,6,5,4,3,1,2,8]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [10,5,4,6,3,7,2,8,9,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,9,10,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,3,7,8,2,10,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [10,8,4,3,5,2,6,7,9,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [7,6,8,9,5,3,4,2,10,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [10,6,5,7,8,4,2,3,9,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [9,10,8,4,3,5,6,2,7,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,3,2,4,5,6,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [8,5,4,6,7,3,9,2,10,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [10,7,4,3,5,6,2,8,9,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,8,10,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [9,7,4,3,5,6,8,2,10,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [10,8,6,3,2,4,5,7,9,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [7,8,6,4,5,3,9,2,10,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [10,6,7,5,3,4,2,8,9,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,6,10,4,2,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [9,6,7,5,3,4,8,2,10,1]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [10,8,5,6,4,2,3,7,9,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [8,9,7,10,6,3,4,2,5,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [10,7,8,6,9,5,2,3,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [8,9,10,7,5,3,4,2,6,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [10,7,8,9,6,4,2,3,5,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [8,9,7,4,5,3,6,2,10,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [10,7,8,6,3,4,2,5,9,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [9,7,8,6,3,4,5,2,10,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [10,8,6,7,5,2,3,4,9,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [7,5,6,4,8,3,9,2,10,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [10,6,4,5,3,7,2,8,9,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,9,10,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [9,6,4,5,3,7,8,2,10,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [10,8,5,3,4,2,6,7,9,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,5,3,4,2,10,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [10,7,5,6,8,4,2,3,9,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [9,10,8,5,3,4,6,2,7,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,4,2,3,5,6,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [8,6,4,5,7,3,9,2,10,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [10,7,5,3,4,6,2,8,9,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [9,7,5,6,8,10,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,6,8,2,10,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,2,3,5,7,9,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8,6,5,4,3,2,7,9,1,10]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8,7,5,4,3,6,9,2,1,10]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [8,7,6,9,5,3,4,2,1,10]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,4,2,3,1,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,3,1,2,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [9,8,10,1,2,3,4,5,6,7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,1,2,3,4,5,6]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [9,8,7,6,10,1,2,3,4,5]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,10,1,2,3,4]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,10,1,2,3]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [4,5,3,2,1,6,7,8,9,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [9,8,10,7,6,5,4,2,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [9,7,8,6,5,4,3,2,10,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,4,3,2,10,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,4,5,3,6,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [9,10,6,7,5,8,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [8,9,7,10,5,6,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [10,8,6,7,5,9,3,4,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,4,5,3,7,1,2]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [9,3,2,4,5,6,7,8,1,10]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [10,9,3,2,4,5,6,7,8,1]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [10,4,3,5,6,7,8,9,2,1]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [10,3,2,4,5,6,7,8,9,1]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [4,5,3,6,7,8,9,10,2,1]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,2,1,3,10]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,2,1,3,4,10]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,2,1,3,4,5,10]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [7,8,9,2,1,3,4,5,6,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [8,9,2,1,3,4,5,6,7,10]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [3,4,2,5,1,6,7,8,9,10]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,5,1,6,7,8,9,10]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,2,3,1,4,6]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [9,6,7,2,3,4,5,1,8,10]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [9,6,7,4,5,2,3,1,8,10]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,5,10,3,4,1,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,4,5,3,10,1,2]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8,7,5,6,4,3,9,10,1,2]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,4,3,1,2,5,10]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [9,10,6,5,3,4,2,1,7,8]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,2,3,7,8,9,10,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [5,6,4,7,3,8,2,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [9,8,10,7,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [9,10,8,7,5,4,3,2,1,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,3,2,1,4,5,6]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [6,7,5,4,3,2,8,9,10,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,2,3,9,10,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,2,3,5,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [8,7,9,3,4,2,5,1,6,10]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [10,9,7,3,4,2,5,1,6,8]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [7,6,8,3,4,2,5,9,1,10]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [10,9,6,3,4,2,5,7,1,8]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [10,8,6,3,4,2,5,7,9,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [10,8,7,9,4,5,2,1,3,6]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [9,8,10,7,4,5,2,1,3,6]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [6,5,7,3,4,8,2,9,1,10]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [10,7,6,8,4,5,9,2,1,3]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [10,9,5,3,4,6,2,7,1,8]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [10,8,5,3,4,6,2,7,9,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,4,5,7,2,1,3]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [10,7,5,3,4,6,8,2,9,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,4,6,8,10,2,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [10,8,7,9,3,2,4,5,1,6]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [9,8,10,7,3,2,4,5,1,6]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [10,7,6,8,3,2,4,5,9,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,3,2,4,5,7,1]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,2,1,3,4,6,8,10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [5,4,6,7,3,8,2,9,1,10]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [10,6,5,7,8,4,9,2,1,3]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [10,6,5,7,8,3,2,4,9,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,8,10,4,2,1,3]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,8,10,3,2,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [10,9,4,5,3,6,2,7,1,8]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [10,8,4,5,3,6,2,7,9,1]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,6,4,7,2,1,3]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [10,7,4,5,3,6,8,2,9,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [9,7,4,5,3,6,8,10,2,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,6,3,2,4,7,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [9,7,4,5,2,1,3,6,8,10]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [8,7,9,5,6,10,4,2,1,3]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [8,7,9,5,6,10,3,2,4,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [10,6,4,5,7,3,8,2,9,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [9,6,4,5,7,2,1,3,8,10]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [8,6,4,5,7,9,3,10,2,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [8,6,4,5,7,9,2,1,3,10]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [6,5,4,7,8,3,2,1,9,10]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,7,8,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [7,8,9,5,4,3,2,1,6,10]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,4,3,2,1,5,10]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,9,3,2,1,4,10]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,5,4,7,8,9,2,1,3,10]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,7,8,9,1,2,10]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [8,5,3,4,6,2,7,9,1,10]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [6,5,7,3,4,2,8,9,1,10]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [8,4,5,6,7,2,3,9,1,10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [6,7,4,3,5,2,8,9,1,10]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [5,6,4,7,8,2,3,9,1,10]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8,5,6,4,3,7,2,9,1,10]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [6,7,8,4,3,5,2,9,1,10]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [8,6,5,7,2,3,4,9,1,10]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [8,6,5,3,4,7,2,9,1,10]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [7,8,4,2,3,5,6,9,1,10]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [7,5,4,6,2,3,8,9,1,10]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [7,8,3,4,5,6,2,9,1,10]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [7,5,6,3,2,4,8,9,1,10]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [7,4,5,3,6,8,2,9,1,10]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [8,5,6,4,7,9,3,1,2,10]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [6,7,8,4,5,9,3,1,2,10]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [8,6,5,7,4,9,3,1,2,10]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7,8,4,5,6,9,3,1,2,10]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7,5,6,8,4,9,3,1,2,10]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,5,3,1,2,4,10]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [7,8,6,9,5,3,1,2,4,10]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,5,2,3,1,4,10]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [7,8,6,9,5,2,3,1,4,10]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,2,3,1,4,6,10]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [8,9,7,3,4,5,1,2,6,10]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,3,2,4,1,6,10]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [8,9,7,4,5,1,2,3,6,10]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [8,9,7,4,2,3,5,1,6,10]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [9,7,4,2,3,5,1,6,8,10]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,2,3,1,7,8,10]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [9,7,3,4,5,6,1,2,8,10]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [9,5,6,3,2,4,1,7,8,10]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [9,4,5,3,6,7,1,2,8,10]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [9,7,4,5,3,2,6,1,8,10]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [9,5,6,7,3,2,4,1,8,10]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,6,1,2,3,8,10]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,2,3,6,1,8,10]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [9,6,7,3,1,2,4,5,8,10]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [9,6,4,3,5,1,2,7,8,10]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [9,6,4,5,2,1,3,7,8,10]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [9,6,3,4,2,5,7,1,8,10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,3,1,2,4,9,10]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,9,4,2,3,10,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,7,4,2,3,10,1]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,5,4,2,3,10,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,6,4,2,3,10,1]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [9,6,7,5,8,4,2,3,10,1]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [9,10,7,8,6,4,2,3,1,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [9,10,7,8,6,4,3,5,1,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [8,9,6,7,5,4,3,2,1,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [8,7,9,1,2,3,4,5,6,10]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [7,6,8,9,1,2,3,4,5,10]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,9,1,2,3,4,10]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [5,4,6,7,8,9,1,2,3,10]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [5,6,4,7,3,8,2,9,1,10]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,3,4,2,5,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,6,3,4,2,7,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [10,7,8,5,6,3,4,2,9,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,6,3,4,2,8,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,3,4,2,6,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,3,4,6,2,7,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [10,6,5,4,3,1,2,7,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [10,6,7,5,4,3,2,1,8,9]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [7,8,9,4,5,6,1,2,3,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,5,4,3,2,1,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,3,1,2,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,2,1,3,9]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7,6,5,8,4,9,3,10,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [8,6,5,4,7,9,3,10,1,2]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [9,6,5,4,7,3,8,10,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,3,6,8,10,1,2]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [8,7,6,9,4,5,3,1,2,10]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [9,7,6,4,5,8,3,1,2,10]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [9,8,5,6,4,3,7,1,2,10]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [9,8,6,7,4,3,1,2,5,10]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [10,6,5,4,7,3,8,1,2,9]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [10,7,5,4,3,6,8,1,2,9]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [10,7,6,4,5,3,1,2,8,9]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [10,8,5,4,3,6,1,2,7,9]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,3,1,2,5,7,9]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [8,7,6,9,5,10,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [9,7,6,5,8,10,3,4,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [9,8,6,7,5,3,4,10,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,8,3,4,9,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [10,8,6,5,3,4,7,9,2,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [10,8,7,4,5,6,3,2,9,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,5,6,3,2,1,4]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,4,3,7,2,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [10,9,6,7,4,3,2,5,8,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [10,9,6,7,5,3,4,2,1,8]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,4,3,2,5,1,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,5,3,2,1,4,6]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [6,7,5,4,8,3,9,2,10,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [7,8,5,4,3,6,9,2,10,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [7,8,6,4,5,3,2,9,10,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [8,9,5,4,3,6,2,7,10,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [8,9,6,4,3,2,5,7,10,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,9,3,4,2,1,10]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [8,9,6,5,3,4,7,2,1,10]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [8,9,7,4,5,3,2,6,1,10]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,6,3,2,1,4,10]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [9,10,5,4,3,6,2,7,1,8]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [9,10,6,4,3,2,5,7,1,8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [9,10,7,4,3,2,5,1,6,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [9,10,7,5,3,2,1,4,6,8]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,3,9,1,2,10]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [8,9,2,3,4,5,1,6,7,10]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,6,7,4,8,9,1,2,3,10]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [7,8,9,2,3,1,4,5,6,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [9,7,6,8,5,4,3,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [7,8,6,9,5,4,3,2,1,10]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8,7,6,4,3,2,1,5,9,10]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,3,6,1,2]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,6,2,3,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,5,2,3,1,7,9]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,6,2,7,8,1,9,10]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [5,3,4,6,2,7,8,1,9,10]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [9,10,7,4,2,3,5,1,6,8]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [5,4,6,7,3,2,1,8,9,10]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,6,7,2,1,8,9,10]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [8,7,9,4,3,2,1,5,6,10]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,3,2,1,4,5,10]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,6,7,8,9,1,2,10]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,3,10,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,10,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,10,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [8,9,7,6,10,5,4,3,2,1]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [10,4,5,3,2,1,6,7,8,9]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [4,5,2,1,3,6,7,8,9,10]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [4,3,5,1,2,6,7,8,9,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7,8,9,6,5,4,3,2,10,1]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [10,5,4,3,2,6,1,7,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [10,6,4,3,2,1,5,7,8,9]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,7,2,8,9,10,1]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [7,5,4,3,2,6,8,9,10,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,10,3,4,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,5,6,3,4,1,2]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8,7,5,6,4,3,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [8,6,5,7,4,3,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8,5,6,7,4,3,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [6,7,5,8,4,3,2,1,9,10]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,4,3,2,1,5,10]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [7,6,5,3,2,1,4,8,9,10]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,5,1,2,10]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,5,2,3,1,10]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [7,6,4,5,8,3,9,10,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8,5,6,4,3,7,9,10,1,2]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,7,8,9,10,1,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [8,7,9,10,5,6,2,1,3,4]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [9,10,5,4,2,3,6,1,7,8]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [9,10,6,3,4,2,1,5,7,8]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,3,1,2,10]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,9,4,2,1,3,10]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [6,7,8,9,5,1,2,3,4,10]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,2,1,3,4,5,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [8,9,7,1,2,3,4,5,6,10]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [6,7,4,3,2,1,5,8,9,10]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [7,6,4,3,2,1,5,8,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [10,8,6,5,4,3,2,1,7,9]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,3,4,5,6,2,8,9,10,1]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [8,3,4,5,6,7,2,9,10,1]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [9,3,4,5,6,7,8,2,10,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,3,2,1,5]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,1,2,3,9,10]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [10,7,5,6,3,4,8,2,9,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,3,4,9,2,10,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [10,8,5,6,3,4,7,2,9,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,3,4,5,2,7,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,3,2,5,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [9,7,8,6,5,4,3,1,2,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,4,3,1,2,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,4,3,2,1,9,10]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [8,7,5,3,4,1,2,6,9,10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [9,6,5,3,4,7,1,2,8,10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [8,6,5,7,3,1,2,4,9,10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [7,6,5,8,3,4,1,2,9,10]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [9,7,4,3,5,6,8,1,2,10]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [8,7,4,5,3,6,9,1,2,10]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [9,6,4,5,7,3,1,2,8,10]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,7,3,8,1,2,10]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [8,6,7,4,3,1,2,5,9,10]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [7,6,8,4,3,5,1,2,9,10]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8,5,6,4,3,7,9,1,2,10]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [7,5,6,4,8,3,1,2,9,10]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [6,5,7,4,8,3,9,1,2,10]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,2,3,4,6,8,1,10]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [8,7,5,6,2,3,4,9,1,10]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,8,2,3,4,1,10]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,2,3,4,9,1,10]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [7,6,8,5,9,2,3,4,1,10]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [9,7,4,5,6,8,2,1,3,10]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [8,7,9,4,5,6,2,1,3,10]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [9,7,3,4,5,6,2,8,1,10]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [8,7,9,3,4,5,2,6,1,10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,4,2,1,3,5,10]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [9,5,6,7,4,2,3,1,8,10]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,3,2,4,5,1,10]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [9,5,6,7,3,4,2,1,8,10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [9,4,5,6,3,7,2,8,1,10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [8,9,6,4,2,1,3,5,7,10]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [7,8,6,4,2,3,1,5,9,10]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [8,9,5,4,2,3,6,1,7,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [7,8,5,4,6,2,1,3,9,10]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [6,7,5,4,8,2,3,1,9,10]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [8,9,6,3,2,4,5,7,1,10]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [7,8,6,3,4,2,5,9,1,10]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [8,9,5,3,4,6,2,1,7,10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [8,9,4,3,5,6,2,7,1,10]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,3,2,1,4,9,10]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [6,7,5,8,3,2,4,1,9,10]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [7,8,4,5,3,2,6,9,1,10]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [6,7,4,5,3,8,2,1,9,10]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [5,3,4,6,7,8,9,10,1,2]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [6,3,4,5,7,8,9,10,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [9,8,7,10,6,5,4,3,1,2]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,4,2,1,3,10]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,6,7,8,9,10,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,8,9,10,1,2]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,6,4,3,2,7,1,8,9,10]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [9,6,4,3,5,7,8,10,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [9,8,6,5,7,4,3,10,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [6,5,7,4,8,9,3,10,1,2]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [9,8,6,3,4,5,1,2,7,10]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,3,4,1,2,5,10]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [8,5,6,7,4,9,3,1,2,10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [10,6,5,3,4,7,1,2,8,9]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [10,8,5,3,1,2,4,6,7,9]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [10,8,7,5,4,6,3,1,2,9]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [10,5,4,6,3,7,8,1,2,9]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [10,7,4,5,3,1,2,6,8,9]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [9,8,6,5,7,10,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [8,7,9,6,5,10,3,4,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [8,5,6,7,3,4,9,10,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [10,8,7,5,3,4,6,9,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [10,7,6,8,5,3,4,9,2,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [8,7,9,10,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [10,7,3,4,5,6,2,8,9,1]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [10,7,5,6,8,9,2,1,3,4]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [10,9,6,7,5,3,2,4,8,1]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,4,7,3,2,8,1]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,2,3,4,1,7,8]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,5,4,2,1,3,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,4,3,5,2,1,6]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [6,7,5,3,4,8,2,9,10,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [8,9,5,3,2,4,6,7,10,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,4,6,3,2,10,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [5,6,4,7,3,8,9,2,10,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [7,8,4,5,3,2,6,9,10,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [8,9,7,5,2,3,4,1,6,10]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,9,4,2,1,3,10]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [7,8,4,5,6,3,9,2,1,10]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [9,10,7,4,2,1,3,5,6,8]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [9,10,7,6,4,3,5,2,1,8]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [9,10,4,3,5,2,6,7,1,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,7,8,3,1,2,4]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,4,8,3,1,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,4,3,1,2,5]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,4,8,2,1,3]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,5,2,1,3,4]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [10,6,7,8,9,3,2,4,1,5]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,5,10,4,1,2,3]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [9,6,7,8,10,5,2,1,3,4]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,4,2,3,1,8]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [9,6,7,8,10,4,3,1,2,5]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,3,2,4,1,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [9,8,5,6,7,10,3,1,2,4]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [9,8,10,4,5,6,2,1,3,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [10,8,9,7,3,1,2,4,5,6]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [10,8,9,4,2,3,5,6,1,7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [9,8,10,7,3,1,2,4,5,6]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [9,10,7,4,2,3,5,6,1,8]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,3,1,2,4,5,7]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7,8,6,4,5,9,10,3,1,2]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7,8,6,4,5,9,10,2,1,3]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,8,5,4,6,9,10,3,1,2]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,8,5,4,6,9,10,2,1,3]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [10,7,5,6,4,1,2,3,8,9]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [10,7,5,6,2,3,1,4,8,9]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [10,6,5,7,4,1,2,3,8,9]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [10,6,7,4,2,3,1,5,8,9]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [10,6,5,7,3,1,2,4,8,9]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [8,9,7,4,5,6,3,1,2,10]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [9,8,5,6,7,3,1,2,4,10]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,4,7,3,1,2,10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,4,7,2,1,3,10]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,5,2,1,3,4,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,3,2,4,1,5,10]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,9,4,1,2,3,10]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,5,2,1,3,4,10]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,4,2,3,1,7,10]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [8,6,7,9,4,3,1,2,5,10]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,3,2,4,1,7,10]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [8,7,5,6,9,3,1,2,4,10]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [8,7,9,4,5,2,1,3,6,10]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [9,8,2,3,1,4,5,6,7,10]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [8,7,2,3,4,1,5,6,9,10]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [7,6,2,3,4,5,1,8,9,10]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [6,5,2,3,4,7,8,1,9,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [6,7,1,2,3,4,5,8,9,10]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [5,6,1,2,3,4,7,8,9,10]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [8,3,1,2,4,5,6,7,9,10]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [8,2,3,1,4,5,6,7,9,10]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [6,4,2,1,3,5,7,8,9,10]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [8,6,4,2,3,5,7,9,1,10]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [7,5,3,4,6,8,2,9,1,10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [6,4,5,7,3,8,2,9,1,10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,4,3,2,1,7,8]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [10,9,8,4,5,3,2,1,6,7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,3,4,2,1,5,6]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,2,3,1,4,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [8,7,9,6,10,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [7,6,8,9,5,10,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [6,5,7,8,9,4,10,3,2,1]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [5,4,6,7,8,9,3,10,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [7,5,4,3,1,2,6,8,9,10]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [10,9,5,6,7,1,2,3,4,8]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [10,6,7,8,3,4,5,9,1,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [8,9,5,6,7,10,3,4,1,2]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,3,4,1,2,5,6]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [9,10,6,4,5,7,8,1,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [8,7,9,10,4,5,6,1,2,3]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,2,1,6,7,8,9,10]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [4,5,3,1,2,6,7,8,9,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,5,4,2,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [10,8,7,9,6,5,4,2,3,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,2,1,3]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,3,10,2,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7,5,6,4,8,9,3,10,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [8,5,6,4,7,3,9,10,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [8,6,7,9,10,4,3,5,2,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,9,10,3,2,4,1]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [9,5,6,7,4,8,3,10,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,4,5,10,3,2,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,5,10,3,2,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [9,7,8,4,5,6,10,3,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,6,3,4,2,1]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [8,6,7,5,9,10,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [9,6,7,8,5,10,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [9,7,8,10,5,6,4,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [9,7,8,10,6,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [9,7,8,10,6,4,2,1,3,5]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [10,5,6,4,7,3,8,2,9,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [10,6,7,4,5,3,8,9,2,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [10,6,7,5,8,3,2,4,9,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,4,3,5,2,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,5,6,3,2,4,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [10,6,7,5,8,4,9,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [10,7,8,9,5,4,6,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [10,7,8,6,9,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [10,7,8,6,9,4,2,1,3,5]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [10,8,9,4,3,5,2,6,7,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,3,4,6,7,2,1]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [10,8,9,5,4,6,7,2,1,3]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [10,8,9,6,3,4,5,7,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [10,7,6,8,9,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,8,9,4,3,2,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [10,7,6,5,4,8,9,3,2,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,2,1,3,10]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,2,3,1,10]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,2,3,1,4,6,8,10]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [9,7,4,5,2,3,1,6,8,10]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,2,3,1,5,7,9]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,2,10,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,2,4,6,8,1,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,4,3,2,1,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,2,1,4]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [8,9,6,5,4,3,2,7,10,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [8,9,7,10,5,4,3,2,6,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [8,9,7,10,6,4,3,2,5,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [8,9,7,10,6,5,3,2,4,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [8,9,7,10,6,5,4,2,3,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,2,3,4,5,6,7,1,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [8,9,5,4,3,2,1,6,7,10]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,8,9,1,2,10]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,4,5,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,4,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,4,8,10,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,6,8,10,2,3,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,3,2,4,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [9,8,10,4,3,5,2,6,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,3,2,4,6,7,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [9,7,6,8,10,4,5,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [9,8,10,5,4,6,7,2,1,3]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [9,5,4,6,3,7,2,8,1,10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [9,6,4,3,5,7,2,8,1,10]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,3,2,4,8,1,10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [9,7,4,3,5,2,6,8,1,10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [9,6,5,7,4,8,2,1,3,10]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [9,7,5,4,6,8,2,1,3,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [9,7,6,8,3,2,4,1,5,10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [9,7,6,8,4,2,1,3,5,10]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [9,8,4,3,5,2,6,1,7,10]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [9,8,5,3,2,4,6,1,7,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [9,8,5,4,6,2,1,3,7,10]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [9,8,6,3,2,4,1,5,7,10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [9,8,6,4,2,1,3,5,7,10]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,3,9,2,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [5,6,7,4,8,3,9,2,10,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [7,8,6,5,4,3,2,9,1,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1,2,3,4,5,6,7,8,9,10]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,11,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [11,2,1,3,4,5,6,7,8,9,10]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,10,11,1]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [11,3,1,2,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [11,2,3,1,4,5,6,7,8,9,10]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,10,11,1]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [3,4,2,5,6,7,8,9,10,11,1]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [11,3,2,1,4,5,6,7,8,9,10]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [5,2,3,4,6,7,8,9,10,11,1]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,10,11,1]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,2,6,7,8,9,10,11,1]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,2,7,8,9,10,11,1]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,2,8,9,10,11,1]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,9,10,11,1]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,2,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [10,11,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [10,9,11,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [10,9,8,11,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [10,9,8,7,11,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,11,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,11,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,11,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,11,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,2,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,2,1,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [9,10,11,8,7,6,5,4,3,2,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,1,2,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [9,8,10,11,7,6,5,4,3,2,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,2,1,3,11]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,1,2,3,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [8,7,9,10,11,6,5,4,3,2,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,3,2,1,4,11]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,4,3,2,1,5,11]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,1,2,3,4,11]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,5,4,3,2,1,6,11]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [7,6,8,9,10,11,5,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [10,9,8,6,5,4,3,2,1,7,11]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,1,2,3,4,5,11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [6,7,5,4,3,2,1,8,9,10,11]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,1,2,8,9,10,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,3,1,2]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [10,1,2,3,4,5,6,7,8,9,11]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [10,2,1,3,4,5,6,7,8,9,11]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,10,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,4,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [9,8,10,7,6,5,4,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [9,8,7,10,6,5,4,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,10,5,4,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,10,4,3,2,1,11]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,10,3,2,1,11]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,10,2,1,11]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,2,10,1,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,2,1,10,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10,11]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,11,1,2]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1,11]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,2,1,3]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,11,1,2,3,4,5,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [10,9,8,6,7,5,4,3,2,1,11]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [11,8,9,10,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [11,9,10,8,7,6,5,4,3,2,1]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [11,2,3,4,5,6,7,8,9,1,10]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [10,2,3,4,5,6,7,8,9,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,4,3,2,1,10]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [9,3,2,1,4,5,6,7,8,10,11]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,1,10,11]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,2,3,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,5,7,8,9,10,11,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [11,5,6,7,8,9,10,4,3,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,7,6,5,4,3,2,1,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [4,2,1,3,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [11,9,8,10,7,6,5,4,3,2,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [11,10,9,8,2,3,4,5,6,7,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [11,10,9,8,2,1,3,4,5,6,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [10,11,8,9,6,7,4,5,2,3,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [10,9,11,7,8,5,6,3,4,1,2]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [7,5,4,3,2,1,6,8,9,10,11]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,2,7,1,8,9,10,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [11,8,7,6,5,4,3,2,1,9,10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,2,10,11,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [11,10,1,2,3,4,5,6,7,8,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [11,6,5,4,3,2,1,7,8,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [10,9,7,6,5,4,3,2,1,8,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [10,8,7,6,5,4,3,2,1,9,11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [7,8,9,10,11,1,2,3,4,5,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,4,5,3,2,1,11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,2,1,8,9,10,11]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [11,10,8,7,6,5,4,9,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,4,5,10,3,2,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [11,2,3,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [11,5,4,3,2,1,6,7,8,9,10]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,2,7,8,9,10,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [10,9,7,6,8,5,4,3,2,1,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [7,8,9,10,11,6,5,4,3,1,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [11,10,8,9,7,6,5,4,3,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [7,6,8,5,4,3,2,1,9,10,11]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,7,6,5,4,2,1,3,9,10,11]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [3,2,4,1,5,6,7,8,9,10,11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [6,7,8,9,10,5,4,3,2,1,11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,1,2,3,4,5,6]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [10,8,9,4,5,6,7,3,2,1,11]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [10,9,8,4,5,6,7,2,3,1,11]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,2,8,9,10,11,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,1,2,10,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8,9,7,6,5,4,3,2,1,10,11]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,7,6,5,4,3,2,9,1,10,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [7,8,9,6,5,4,3,2,1,10,11]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [11,9,10,6,7,5,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [11,9,10,7,5,6,8,4,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [11,9,8,10,7,6,5,4,3,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [11,9,10,8,7,6,5,4,3,1,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,1,2,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [11,10,8,7,6,5,4,3,2,1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [11,9,10,7,6,5,4,3,2,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [11,9,8,10,6,5,4,3,2,1,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [11,9,8,7,10,5,4,3,2,1,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,10,4,3,2,1,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,10,3,2,1,4]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,4,10,2,1,3]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,4,3,10,1,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,4,3,2,10,1]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,11,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [10,9,1,2,3,4,5,6,7,8,11]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [10,9,8,1,2,3,4,5,6,7,11]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,1,2,3,4,5,6,11]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,10,1,11]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [11,9,10,7,8,4,5,2,3,1,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [11,9,10,7,8,5,6,2,3,1,4]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [9,1,2,3,4,5,6,7,8,10,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [6,7,8,5,4,3,2,1,9,10,11]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [7,8,6,5,4,3,1,2,9,10,11]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [11,3,4,5,6,7,8,9,10,1,2]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [11,4,5,6,7,8,9,10,1,2,3]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [11,5,6,7,8,9,10,1,2,3,4]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [11,6,7,8,9,10,1,2,3,4,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [11,7,8,9,10,1,2,3,4,5,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [11,8,9,10,1,2,3,4,5,6,7]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [11,9,10,1,2,3,4,5,6,7,8]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [4,3,2,5,6,7,8,9,10,1,11]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [5,4,3,2,6,7,8,9,10,1,11]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,2,7,8,9,10,1,11]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,2,8,9,10,1,11]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,7,6,5,4,3,2,9,10,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [10,11,8,7,6,5,4,3,2,1,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [10,11,9,8,7,6,5,4,3,1,2]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [10,11,9,8,7,6,5,4,2,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,4,3,2,11,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [6,7,8,9,10,11,1,2,3,4,5]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [4,3,5,6,7,8,9,10,11,2,1]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,1,2,11]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,1,2,3,11]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [5,6,7,8,9,10,1,2,3,4,11]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5,11]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6,11]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [8,9,10,1,2,3,4,5,6,7,11]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [9,10,1,2,3,4,5,6,7,8,11]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9,10,11]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,2,1,7,8,9,10,11]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,2,3,8,9,10,11,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [7,8,6,5,4,3,2,9,10,11,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,7,6,5,4,2,3,9,10,11,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [7,6,8,9,5,4,3,2,1,10,11]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [7,6,5,8,9,4,3,2,1,10,11]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,8,9,3,2,1,10,11]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,8,9,2,1,10,11]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [7,6,5,4,3,2,8,9,1,10,11]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,2,11,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [8,1,2,3,4,5,6,7,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [7,1,2,3,4,5,6,8,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9,10,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [11,6,7,5,4,3,2,1,8,9,10]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [11,7,6,5,4,3,1,2,8,9,10]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [11,9,10,7,8,5,6,3,1,2,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [9,10,11,5,6,7,8,1,2,3,4]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [11,10,9,7,8,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [11,10,8,7,9,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [11,9,8,7,10,6,5,4,3,2,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,5,4,3,2,6,1,11]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,5,4,3,6,2,1,11]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,5,4,6,3,2,1,11]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,5,6,4,3,2,1,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [11,7,6,5,4,3,2,1,8,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [9,7,6,5,4,3,2,1,8,10,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [7,8,6,5,4,3,2,1,9,10,11]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [6,5,7,8,4,3,2,1,9,10,11]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,7,8,3,2,1,9,10,11]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,7,8,2,1,9,10,11]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,2,7,8,1,9,10,11]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [4,5,1,2,3,6,7,8,9,10,11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [11,5,6,4,3,2,1,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [9,10,8,11,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [9,10,8,7,11,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,11,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,11,4,3,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,4,11,3,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,4,3,11,2,1]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [3,4,2,1,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [4,3,1,2,5,6,7,8,9,10,11]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [10,2,3,4,5,6,7,8,9,1,11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [10,8,7,6,9,5,4,3,2,1,11]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,4,3,2,1,5,10,11]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,4,3,2,5,1,10,11]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,4,3,5,2,1,10,11]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,4,5,3,2,1,10,11]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9,10,8,7,6,5,4,3,1,2,11]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [10,11,2,3,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [9,2,1,3,4,5,6,7,8,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [8,2,1,3,4,5,6,7,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [7,2,1,3,4,5,6,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [6,2,1,3,4,5,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [5,2,1,3,4,6,7,8,9,10,11]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [5,4,6,7,8,9,10,11,3,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [5,6,4,3,2,1,7,8,9,10,11]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,5,4,3,1,2,7,8,9,10,11]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [7,8,9,10,11,2,3,4,5,6,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [7,8,9,10,11,6,1,2,3,4,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [8,9,10,11,3,4,5,6,7,1,2]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [8,9,10,11,6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [10,11,6,7,8,9,1,2,3,4,5]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [8,9,10,11,4,5,6,7,1,2,3]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [8,9,10,11,5,6,7,1,2,3,4]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [9,8,10,7,6,5,4,3,1,2,11]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9,10,11]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9,10,11]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9,10,11]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1,9,10,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [12,1,2,3,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [12,2,1,3,4,5,6,7,8,9,10,11]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,10,11,12,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [11,10,12,9,8,7,6,5,4,3,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11,10,9,8,7,6,5,4,3,2,12,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [10,11,12,9,8,7,6,5,4,3,2,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11,10,9,8,7,6,5,4,3,1,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [7,6,8,5,9,4,10,3,11,2,12,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,4,6,10,3,11,2,12,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,4,3,5,11,2,12,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [9,8,10,5,4,6,3,7,11,2,12,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,3,5,7,11,2,12,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,5,11,3,2,4,12,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,5,7,11,3,2,4,12,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,4,3,5,2,6,12,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,5,3,2,4,6,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,4,6,3,7,2,8,12,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,4,3,5,7,2,8,12,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,5,7,3,2,4,8,12,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,4,3,5,2,6,8,12,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,5,3,2,4,6,8,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,4,8,3,9,2,10,12,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,4,6,8,3,9,2,10,12,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,4,3,5,9,2,10,12,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,4,6,3,7,9,2,10,12,1]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,4,3,5,7,9,2,10,12,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,3,2,4,10,12,1]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,3,2,4,10,12,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,4,3,5,2,6,10,12,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,5,3,2,4,6,10,12,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,4,6,3,7,2,8,10,12,1]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,3,5,7,2,8,10,12,1]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,3,2,4,8,10,12,1]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,4,3,5,2,6,8,10,12,1]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,2,4,6,8,10,12,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,5,11,4,12,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,5,7,11,4,12,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,5,4,6,12,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,5,7,4,8,12,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,5,4,6,8,12,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,4,10,12,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,4,10,12,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,5,4,6,10,12,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,4,8,10,12,2,1,3]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,4,6,8,10,12,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,6,12,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,6,8,12,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,12,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,12,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,6,12,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,6,8,12,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,12,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,12,4,2,1,3,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,4,3,5,2,6,1,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,4,3,5,2,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,5,3,2,4,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,3,2,4,6,1,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,5,4,6,2,1,3,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,4,6,2,1,3,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,6,3,2,4,1,5,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,3,2,4,1,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,6,4,2,1,3,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,4,2,1,3,5,7]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [11,10,12,5,4,6,3,7,2,8,1,9]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,4,3,5,7,2,8,1,9]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,5,7,3,2,4,8,1,9]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,4,3,5,2,6,8,1,9]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,5,3,2,4,6,8,1,9]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,5,7,4,8,2,1,3,9]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,5,4,6,8,2,1,3,9]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,3,2,4,1,5,9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,4,2,1,3,5,9]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,4,3,5,2,6,1,7,9]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,5,3,2,4,6,1,7,9]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,5,4,6,2,1,3,7,9]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,6,3,2,4,1,5,7,9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,6,4,2,1,3,5,7,9]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [11,1,2,3,4,5,6,7,8,9,10,12]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,11,1,12]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,9,8,7,6,5,4,3,2,1,11,12]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [10,11,9,8,7,6,5,4,3,2,1,12]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [12,11,10,9,8,7,6,5,4,1,2,3]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,6,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,3,4,6,8,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,3,4,6,1,2,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,3,4,1,2,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,3,1,2,4,6,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,6,8,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,6,8,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,6,3,1,2,4,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,6,3,4,8,1,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,5,6,3,4,1,2,8]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,8,10,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,8,10,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,8,3,1,2,4,10]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,8,3,4,10,1,2]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,8,3,4,1,2,10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,3,4,1,2,8,10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,3,1,2,4,8,10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,4,6,1,2,8,10]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,4,1,2,6,8,10]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,3,4,8,10,1,2]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,6,3,4,8,1,2,10]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,1,2,4,6,8,10]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,4,6,8,10,1,2]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,4,6,8,1,2,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,10,5,6,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,10,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,10,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,10,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,10,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,3,4,6,10,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,3,4,6,1,2,10]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,3,4,1,2,6,10]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,3,1,2,4,6,10]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,6,10,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,6,10,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,6,3,1,2,4,10]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,6,3,4,10,1,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,6,3,4,1,2,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,12,5,6,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,12,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,12,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,12,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,12,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,3,4,6,12,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,3,4,6,1,2,12]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,3,4,1,2,6,12]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,3,1,2,4,6,12]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,6,12,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,6,12,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,6,3,1,2,4,12]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,6,3,4,12,1,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,10,5,6,3,4,1,2,12]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,3,4,10,12,1,2]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,3,4,10,1,2,12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,3,1,2,4,6,10,12]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,3,4,6,10,12,1,2]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,3,4,6,10,1,2,12]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,3,4,10,12,1,2]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,3,4,10,1,2,12]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,3,1,2,4,8,10,12]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,3,4,8,10,12,1,2]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,3,4,8,10,1,2,12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,3,4,1,2,10,12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,3,4,6,1,2,10,12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,3,1,2,4,10,12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,3,4,1,2,6,10,12]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,1,2,6,8,10,12]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,1,2,4,6,8,10,12]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,3,4,1,2,10,12]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,3,4,8,1,2,10,12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,3,1,2,4,10,12]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,3,4,1,2,8,10,12]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,10,12,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,10,12,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,10,3,1,2,4,12]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,10,3,4,12,1,2]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,5,6,10,3,4,1,2,12]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,6,8,10,12,1,2]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,6,8,10,1,2,12]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,6,8,1,2,10,12]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,6,1,2,8,10,12]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,12,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,12,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,3,1,2,4,12]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,3,4,12,1,2]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,3,4,1,2,12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,6,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,3,4,6,8,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,3,4,6,1,2,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,3,4,1,2,6,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,3,1,2,4,6,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,6,8,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,6,8,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,6,3,1,2,4,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,6,3,4,8,1,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,5,6,3,4,1,2,8]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,8,12,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,8,12,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,8,3,1,2,4,12]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,8,3,4,12,1,2]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,8,3,4,1,2,12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,3,4,1,2,8,12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,3,1,2,4,8,12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,3,4,6,1,2,8,12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,3,4,1,2,6,8,12]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,3,4,8,12,1,2]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,3,4,8,1,2,12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,3,1,2,4,6,8,12]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,3,4,6,8,12,1,2]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,3,4,6,8,1,2,12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,12,5,6,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,12,5,6,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,12,5,3,1,2,4,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,12,5,3,4,6,1,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,12,5,3,4,1,2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,3,4,6,12,1,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,3,4,6,1,2,12]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,3,4,1,2,6,12]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,3,1,2,4,6,12]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,6,12,3,4,1,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,6,12,3,1,2,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,6,3,1,2,4,12]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,6,3,4,12,1,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,8,5,6,3,4,1,2,12]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [11,12,1,2,3,4,5,6,7,8,9,10]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10,11,12]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10,11,12]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [12,6,5,7,4,8,3,9,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,5,11,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,4,8,3,9,10,2,12,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [12,10,5,4,6,3,7,2,8,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [12,7,6,8,5,9,10,4,2,3,11,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [11,12,10,5,4,6,3,7,8,2,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,4,3,5,2,6,7,8,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [10,6,5,7,4,8,9,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [12,9,5,4,6,3,7,8,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,10,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,4,6,3,7,8,10,2,12,1]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,4,3,5,2,6,7,9,11,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [8,7,9,10,6,4,5,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [12,7,6,8,9,5,3,4,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [9,8,10,11,7,5,6,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,9,5,3,4,10,2,12,1]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [12,10,6,5,7,8,4,2,3,9,11,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [9,8,10,11,7,12,6,3,4,2,5,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [12,8,7,9,10,6,11,5,2,3,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [9,8,10,11,12,7,5,3,4,2,6,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [12,8,7,9,10,11,6,4,2,3,5,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,4,6,7,3,8,2,12,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [12,9,10,8,4,3,5,6,2,7,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [11,12,10,6,5,7,8,9,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [11,9,10,8,4,3,5,6,7,2,12,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [12,10,8,9,7,3,2,4,5,6,11,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [9,6,5,7,8,4,10,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [12,8,5,4,6,7,3,9,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,9,5,11,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,4,6,7,3,9,10,2,12,1]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,4,3,5,6,2,8,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,9,11,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [12,9,6,5,7,8,10,4,2,3,11,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [11,12,10,7,4,3,5,6,8,2,9,1]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,6,3,2,4,5,7,8,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [10,8,5,4,6,7,9,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,4,3,5,6,8,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,8,10,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,4,3,5,6,8,10,2,12,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,3,2,4,5,7,9,11,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,9,7,5,6,4,10,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [12,7,8,6,4,5,3,9,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,7,5,11,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [11,7,8,6,4,5,3,9,10,2,12,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [12,10,6,7,5,3,4,2,8,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,7,11,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,5,6,10,4,2,3,11,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [11,12,10,6,7,5,3,4,8,2,9,1]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,5,6,4,2,3,7,8,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,4,5,9,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,5,3,4,8,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [11,8,9,7,5,6,10,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [11,9,6,7,5,3,4,8,10,2,12,1]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,5,6,4,2,3,7,9,11,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,4,5,3,6,2,12,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,6,3,4,2,5,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [10,11,9,12,8,5,6,7,4,2,3,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [11,8,9,7,10,6,3,4,5,2,12,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [12,10,7,8,6,9,5,2,3,4,11,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,6,4,5,3,7,2,12,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [12,8,9,10,7,5,3,4,2,6,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [10,11,12,9,7,5,6,8,4,2,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,5,3,4,6,2,12,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [12,10,7,8,9,6,4,2,3,5,11,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [10,11,9,12,8,4,5,3,6,2,7,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [10,11,12,9,7,4,5,3,6,2,8,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,7,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [12,9,10,11,8,6,3,4,2,5,7,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [10,11,12,9,7,8,6,3,4,2,5,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [12,9,10,11,8,6,7,5,2,3,4,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [11,9,10,8,12,7,3,4,5,2,6,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,6,3,4,5,2,7,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [12,10,8,9,7,11,6,2,3,4,5,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [12,10,8,9,11,7,5,2,3,4,6,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [9,10,8,5,6,4,7,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,4,5,3,6,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,5,8,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [11,8,9,7,4,5,3,6,10,2,12,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [12,10,7,8,6,3,4,2,5,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,8,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [12,9,10,8,5,6,7,4,2,3,11,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [11,12,10,7,8,6,3,4,5,2,9,1]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,6,7,5,2,3,4,8,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,4,5,6,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,6,3,4,5,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [11,9,10,8,5,6,7,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [11,9,7,8,6,3,4,5,10,2,12,1]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,7,5,2,3,4,9,11,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8,6,7,5,9,4,10,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [12,7,5,6,4,8,3,9,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,5,11,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,6,4,8,3,9,10,2,12,1]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [12,10,6,4,5,3,7,2,8,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,11,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,5,9,10,4,2,3,11,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [11,12,10,6,4,5,3,7,8,2,9,1]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,5,3,4,2,6,7,8,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [10,7,5,6,4,8,9,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [12,9,6,4,5,3,7,8,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,5,9,10,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,5,3,7,8,10,2,12,1]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,5,3,4,2,6,7,9,11,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [9,7,8,10,6,4,5,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,5,3,4,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,5,6,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,5,3,4,10,2,12,1]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,6,8,4,2,3,9,11,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,12,6,3,4,2,5,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,10,6,11,5,2,3,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [10,8,9,11,12,7,5,3,4,2,6,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,10,11,6,4,2,3,5,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,4,5,7,3,8,2,12,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [12,9,10,8,5,3,4,6,2,7,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [11,12,10,7,5,6,8,9,4,2,3,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [11,9,10,8,5,3,4,6,7,2,12,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [12,10,8,9,7,4,2,3,5,6,11,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [9,7,5,6,8,4,10,3,11,2,12,1]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [12,8,6,4,5,7,3,9,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [10,8,6,7,9,5,11,12,4,2,3,1]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,4,5,7,3,9,10,2,12,1]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,3,4,6,2,8,9,11,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [10,8,6,7,9,11,5,3,4,2,12,1]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,5,6,8,10,4,2,3,11,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [11,12,10,7,5,3,4,6,8,2,9,1]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,6,4,2,3,5,7,8,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [10,8,6,4,5,7,9,3,11,2,12,1]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,5,3,4,6,8,2,10,11,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,12,4,2,3,1]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,4,6,8,10,2,12,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,4,2,3,5,7,9,11,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [12,11,10,9,8,7,6,5,4,2,3,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,4,5,9,11,2,1,3,12]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [9,10,8,7,11,4,5,3,2,6,1,12]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,6,5,11,12,3,4,2,1]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,6,5,3,4,2,1,7,8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [11,9,8,6,7,10,4,3,1,2,5,12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [12,10,9,11,4,5,3,6,2,7,1,8]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,4,5,3,6,2,7,1,8]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [12,9,8,10,4,5,3,6,2,7,11,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,4,5,3,6,2,7,9,1]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,3,4,2,5,1,6,8,10,12]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,6,4,7,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,5,6,4,7,2,1,3]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [12,8,7,9,4,5,3,6,10,2,11,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,4,5,3,6,10,12,2,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,4,5,3,6,8,2,9,1]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,3,4,2,5,7,1,8,10,12]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,4,5,3,6,8,12,2,1]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,3,4,2,5,7,9,1,10,12]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [10,8,6,3,4,2,5,7,9,11,1,12]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,6,3,2,4,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,5,6,3,2,4,7,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,4,5,2,1,3,6,10,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,4,5,2,1,3,6,8,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [12,11,9,7,4,5,2,1,3,6,8,10]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,11,5,6,12,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,5,6,12,4,2,1,3]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,11,5,6,12,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,5,6,12,3,2,4,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [12,7,6,8,4,5,9,3,10,2,11,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,4,5,9,3,10,12,2,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,4,5,9,2,1,3,10,12]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,4,5,9,11,3,12,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,4,5,7,3,8,2,9,1]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,3,4,6,2,7,1,8,10,12]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,4,5,7,3,8,12,2,1]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,3,4,6,2,7,9,1,10,12]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [10,8,5,3,4,6,2,7,9,11,1,12]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,4,5,7,2,1,3,8,12]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [12,11,9,6,4,5,7,2,1,3,8,10]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,5,7,11,3,12,2,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,5,7,11,2,1,3,12]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,3,4,6,8,2,9,1,10,12]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [10,7,5,3,4,6,8,2,9,11,1,12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [12,11,8,6,4,5,7,9,2,1,3,10]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [9,7,5,3,4,6,8,10,2,11,1,12]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,4,5,7,9,11,2,1,3]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,4,3,5,6,2,7,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [10,9,11,8,12,4,3,5,6,2,7,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,3,2,4,5,1,6,10,12]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,3,2,4,5,1,6,8,12]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [12,11,9,7,3,2,4,5,1,6,8,10]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,11,4,3,5,6,12,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,4,3,5,6,12,2,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,3,2,4,5,9,1,10,12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,3,2,4,5,9,11,1,12]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,3,2,4,5,7,1,8,12]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [12,11,9,6,3,2,4,5,7,1,8,10]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,3,2,4,5,7,11,1,12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [12,11,8,6,3,2,4,5,7,9,1,10]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,11,4,2,1,3,5,6,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,4,2,1,3,5,6,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [12,11,8,7,9,4,2,1,3,5,6,10]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [12,10,9,11,7,4,2,1,3,5,6,8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,7,4,2,1,3,5,6,8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,11,3,2,4,1,5,6,12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,3,2,4,1,5,6,12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [12,11,8,7,9,3,2,4,1,5,6,10]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [12,10,9,11,7,3,2,4,1,5,6,8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,7,3,2,4,1,5,6,8]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,10,11,5,12,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,5,12,4,2,1,3]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,10,11,5,12,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,5,12,3,2,4,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,10,11,4,3,5,12,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,4,3,5,12,2,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,10,11,4,2,1,3,5,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,4,2,1,3,5,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,10,11,3,2,4,1,5,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,3,2,4,1,5,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [12,6,5,7,8,4,9,3,10,2,11,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,8,4,9,3,10,12,2,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,8,4,9,2,1,3,10,12]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [10,6,5,7,8,4,9,11,3,12,2,1]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [10,6,5,7,8,4,9,11,2,1,3,12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,8,3,2,4,9,1,10,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [10,6,5,7,8,3,2,4,9,11,1,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [12,11,7,6,8,9,4,2,1,3,5,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [12,11,7,6,8,9,3,2,4,1,5,10]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [9,6,5,7,8,10,4,11,3,12,2,1]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [9,6,5,7,8,10,4,11,2,1,3,12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [9,6,5,7,8,10,3,2,4,11,1,12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [12,10,7,6,8,9,11,4,2,1,3,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [12,10,7,6,8,9,11,3,2,4,1,5]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [11,10,12,5,6,4,7,3,8,2,9,1]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [11,9,4,5,3,6,2,7,1,8,10,12]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,6,4,7,3,8,12,2,1]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [11,8,4,5,3,6,2,7,9,1,10,12]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [10,8,4,5,3,6,2,7,9,11,1,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,6,4,7,2,1,3,8,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [12,11,9,5,6,4,7,2,1,3,8,10]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [9,8,10,5,6,4,7,11,3,12,2,1]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [9,8,10,5,6,4,7,11,2,1,3,12]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [11,7,4,5,3,6,8,2,9,1,10,12]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [10,7,4,5,3,6,8,2,9,11,1,12]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [12,11,8,5,6,4,7,9,2,1,3,10]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [9,7,4,5,3,6,8,10,2,11,1,12]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,5,6,4,7,9,11,2,1,3]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,6,3,2,4,7,1,8,12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [12,11,9,5,6,3,2,4,7,1,8,10]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [9,8,10,5,6,3,2,4,7,11,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [12,11,8,5,6,3,2,4,7,9,1,10]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,5,6,3,2,4,7,9,11,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [12,10,9,11,6,7,4,2,1,3,5,8]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,6,7,4,2,1,3,5,8]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [12,10,9,11,6,7,3,2,4,1,5,8]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,6,7,3,2,4,1,5,8]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,10,4,11,3,12,2,1]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,10,4,11,2,1,3,12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,10,3,2,4,11,1,12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [12,9,8,10,6,7,11,4,2,1,3,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [12,9,8,10,6,7,11,3,2,4,1,5]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [11,6,4,5,7,3,8,2,9,1,10,12]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [10,6,4,5,7,3,8,2,9,11,1,12]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [12,11,7,5,6,8,4,9,2,1,3,10]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [9,6,4,5,7,3,8,10,2,11,1,12]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,6,8,4,9,11,2,1,3]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [12,11,7,5,6,8,3,2,4,9,1,10]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,6,8,3,2,4,9,11,1]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,6,7,9,4,2,1,3,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,6,7,9,3,2,4,1,5]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [8,6,4,5,7,9,3,10,2,11,1,12]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,5,6,8,10,4,11,2,1,3]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,5,6,8,10,3,2,4,11,1]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,12,4,2,1,3]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,6,8,10,12,3,2,4,1]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [8,7,5,6,3,4,9,2,10,11,1,12]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [10,5,6,7,8,3,4,2,9,11,1,12]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [8,6,7,5,3,4,9,2,10,11,1,12]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [6,7,8,5,9,3,4,2,10,11,1,12]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [10,7,5,4,6,8,9,2,3,11,1,12]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,4,5,6,10,2,3,11,1,12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [10,6,7,8,4,3,5,2,9,11,1,12]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [10,6,5,7,4,8,9,2,3,11,1,12]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [8,9,6,3,4,5,7,2,10,11,1,12]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [7,8,6,4,5,3,9,2,10,11,1,12]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [8,9,4,5,6,7,10,2,3,11,1,12]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [7,8,5,6,4,3,9,2,10,11,1,12]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [7,5,6,8,4,9,10,2,3,11,1,12]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [10,7,5,6,8,4,3,9,2,11,1,12]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,4,3,10,2,11,1,12]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [10,6,7,8,9,4,3,5,2,11,1,12]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8,9,6,5,7,4,3,10,2,11,1,12]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,10,4,3,5,2,11,1,12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,9,2,3,4,11,1,12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8,9,10,6,5,7,2,3,4,11,1,12]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,3,4,9,2,11,1,12]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8,9,10,6,5,3,4,7,2,11,1,12]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,4,2,3,5,6,11,1,12]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,5,4,6,2,3,9,11,1,12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,3,4,5,6,2,11,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,5,6,3,2,4,9,11,1,12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,4,5,3,6,9,2,11,1,12]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [9,10,6,3,4,2,5,7,8,11,1,12]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [9,7,6,4,5,2,3,8,10,11,1,12]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [9,10,4,5,6,7,2,3,8,11,1,12]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [9,7,5,6,4,2,3,8,10,11,1,12]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [9,5,6,7,4,8,2,3,10,11,1,12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [9,10,6,4,3,5,7,8,2,11,1,12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,3,4,5,10,2,11,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [9,10,5,6,7,3,2,4,8,11,1,12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [9,10,5,4,6,3,7,8,2,11,1,12]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [9,7,8,5,2,3,4,6,10,11,1,12]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [9,6,7,5,3,4,2,8,10,11,1,12]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [9,7,8,3,4,5,6,10,2,11,1,12]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [9,6,7,4,5,3,2,8,10,11,1,12]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [10,7,5,6,8,4,9,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,4,10,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [10,6,7,8,9,4,5,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8,9,6,5,7,4,10,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,10,4,5,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,9,4,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8,9,10,6,5,7,4,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,4,5,6,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,5,6,9,4,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [9,10,6,4,5,7,8,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,4,5,10,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [9,10,5,6,7,8,4,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [9,7,8,5,4,6,10,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [9,6,7,5,8,10,4,11,3,1,2,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,9,11,5,3,1,2,4,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [8,9,10,6,7,11,5,3,1,2,4,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,6,11,5,3,1,2,4,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,8,11,5,3,1,2,4,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [9,7,8,10,6,11,5,3,1,2,4,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,9,11,5,2,3,1,4,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [8,9,10,6,7,11,5,2,3,1,4,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,6,11,5,2,3,1,4,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,8,11,5,2,3,1,4,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [9,7,8,10,6,11,5,2,3,1,4,12]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,5,2,3,1,4,6,12]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,5,2,3,1,4,6,12]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,3,4,5,1,2,6,12]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,3,4,5,1,2,6,12]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,5,3,2,4,1,6,12]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,5,3,2,4,1,6,12]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,4,5,1,2,3,6,12]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,4,5,1,2,3,6,12]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,4,2,3,5,1,6,12]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,4,2,3,5,1,6,12]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,4,2,3,5,1,6,8,12]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,4,6,2,3,1,7,8,12]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,3,4,5,6,1,2,8,12]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,6,3,2,4,1,7,8,12]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,4,5,3,6,7,1,2,8,12]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,4,5,3,2,6,1,8,12]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,6,7,3,2,4,1,8,12]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,5,4,6,1,2,3,8,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,5,4,2,3,6,1,8,12]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,3,1,2,4,5,8,12]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,4,3,5,1,2,7,8,12]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,2,3,4,5,1,8,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,4,5,2,1,3,7,8,12]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,3,4,2,5,7,1,8,12]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [11,7,6,4,5,2,3,8,1,9,10,12]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [11,9,4,5,6,7,2,3,1,8,10,12]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,6,4,2,3,8,1,9,10,12]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [11,5,6,7,4,8,2,3,1,9,10,12]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,3,5,7,8,1,2,10,12]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,3,4,5,9,1,2,10,12]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,6,7,3,2,4,1,8,10,12]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,4,6,3,7,8,1,2,10,12]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [11,7,8,5,2,3,4,6,1,9,10,12]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [11,6,7,5,3,4,2,8,1,9,10,12]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [11,7,8,3,4,5,6,9,1,2,10,12]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [11,6,7,4,5,3,2,8,1,9,10,12]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [11,6,4,5,7,3,8,9,1,2,10,12]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,5,7,3,2,8,1,10,12]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,4,5,3,2,9,1,10,12]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,6,7,8,3,2,4,1,10,12]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [11,7,8,5,4,6,3,2,9,1,10,12]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [11,6,7,5,8,9,3,2,4,1,10,12]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [11,9,6,7,5,4,8,1,2,3,10,12]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,5,4,6,1,2,3,10,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [11,9,6,7,5,4,2,3,8,1,10,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,5,4,2,3,6,1,10,12]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,3,1,2,4,5,10,12]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,4,3,5,1,2,8,10,12]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,2,3,4,5,1,10,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,4,5,2,1,3,8,10,12]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,3,4,2,5,8,1,10,12]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [11,8,9,5,2,3,1,4,6,7,10,12]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,3,4,1,2,7,9,10,12]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [11,8,9,3,4,5,6,1,2,7,10,12]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,4,5,3,1,2,7,9,10,12]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [11,8,4,5,6,3,7,1,2,9,10,12]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [11,8,9,5,3,2,4,6,7,1,10,12]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,2,3,4,9,1,10,12]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [11,8,9,4,5,6,2,1,3,7,10,12]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [11,8,9,4,3,5,2,6,7,1,10,12]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,4,1,2,3,5,9,10,12]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,6,4,2,3,1,7,9,10,12]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,2,3,4,5,9,1,10,12]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,6,3,4,2,1,7,9,10,12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [6,7,5,8,4,9,3,10,2,11,1,12]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [12,11,10,9,8,7,6,5,4,2,1,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [8,7,6,9,5,10,4,11,3,12,1,2]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [9,7,6,5,8,10,4,11,3,12,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [9,8,6,7,5,4,10,11,3,12,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [10,7,6,5,8,4,9,11,3,12,1,2]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [10,8,6,5,4,7,9,11,3,12,1,2]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,5,6,4,3,11,12,1,2]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,5,6,9,4,3,11,12,1,2]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [10,9,6,7,5,4,8,3,11,12,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,5,4,3,6,11,12,1,2]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [11,7,6,5,8,4,9,3,10,12,1,2]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,4,7,9,3,10,12,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [11,8,7,5,6,4,3,9,10,12,1,2]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,4,7,3,8,10,12,1,2]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,4,3,6,8,10,12,1,2]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,6,11,4,5,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [10,8,7,6,9,11,4,5,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,6,4,5,11,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [11,8,7,6,9,4,5,10,3,1,2,12]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,4,5,8,10,3,1,2,12]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [10,9,8,11,5,6,4,3,7,1,2,12]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [11,9,8,5,6,7,4,3,10,1,2,12]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [10,9,8,11,6,7,4,3,1,2,5,12]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [11,10,6,7,5,4,8,3,9,1,2,12]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [11,10,7,8,5,4,3,6,9,1,2,12]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [11,10,7,8,6,4,5,3,1,2,9,12]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,5,4,3,6,1,2,7,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,6,4,3,1,2,5,7,12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [12,7,6,5,8,4,9,3,10,1,2,11]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [12,8,6,5,4,7,9,3,10,1,2,11]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [12,8,7,5,6,4,3,9,10,1,2,11]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [12,9,6,5,4,7,3,8,10,1,2,11]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [12,9,7,5,4,3,6,8,10,1,2,11]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [12,8,7,6,9,4,5,3,1,2,10,11]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [12,9,7,6,4,5,8,3,1,2,10,11]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [12,9,8,5,6,4,3,7,1,2,10,11]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [12,9,8,6,7,4,3,1,2,5,10,11]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [12,10,6,5,4,7,3,8,1,2,9,11]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,4,3,6,8,1,2,9,11]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [12,10,7,6,4,5,3,1,2,8,9,11]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [12,10,8,5,4,3,6,1,2,7,9,11]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,4,3,1,2,5,7,9,11]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,6,11,5,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [10,8,7,6,9,11,5,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [11,8,7,6,9,5,10,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,5,8,10,12,3,4,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [10,9,8,11,6,7,5,3,4,12,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [11,9,8,6,7,10,5,3,4,12,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [11,10,7,8,6,5,9,3,4,12,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,6,5,3,4,7,12,2,1]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [12,8,7,6,9,5,10,3,4,11,2,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [12,9,7,6,5,8,10,3,4,11,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [12,9,8,6,7,5,3,4,10,11,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [12,10,7,6,5,8,3,4,9,11,2,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [12,10,8,6,5,3,4,7,9,11,2,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [10,9,8,11,7,12,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [11,9,8,7,10,12,4,5,3,2,6,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,7,4,5,6,3,2,12,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [12,9,8,7,10,4,5,6,3,2,11,1]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [12,10,8,7,4,5,6,9,3,2,11,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [10,9,8,11,7,12,5,6,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [11,9,8,7,10,12,5,6,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,7,5,6,12,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [12,9,8,7,10,5,6,11,3,2,1,4]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [12,10,8,7,5,6,9,11,3,2,1,4]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [11,10,9,12,5,6,4,3,7,2,8,1]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [12,10,9,5,6,7,4,3,8,2,11,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [11,10,9,12,6,7,4,3,2,5,8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [12,10,9,6,7,8,4,3,2,5,11,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [11,10,9,12,6,7,5,3,4,2,1,8]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [12,10,9,6,7,8,5,3,4,2,1,11]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [11,10,9,12,7,8,4,3,2,5,1,6]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,8,11,4,3,2,5,1,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [11,10,9,12,7,8,5,3,2,1,4,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,8,11,5,3,2,1,4,6]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [12,11,6,7,5,4,8,3,9,2,10,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,5,4,3,6,9,2,10,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,6,4,5,3,2,9,10,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,5,4,3,6,2,7,10,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,6,4,3,2,5,7,10,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,6,5,9,3,4,2,1,10]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,6,5,3,4,7,2,1,10]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,7,4,5,3,2,6,1,10]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,7,5,6,3,2,1,4,10]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,5,4,3,6,2,7,1,8]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,6,4,3,2,5,7,1,8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,7,4,3,2,5,1,6,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,7,5,3,2,1,4,6,8]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [7,8,6,5,9,4,10,3,11,2,12,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [8,9,6,5,4,7,10,3,11,2,12,1]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,9,7,5,6,4,3,10,11,2,12,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [9,10,6,5,4,7,3,8,11,2,12,1]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [9,10,7,5,4,3,6,8,11,2,12,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8,9,7,6,10,4,5,3,2,11,12,1]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,4,5,8,3,2,11,12,1]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [9,10,8,5,6,4,3,7,2,11,12,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,7,4,3,2,5,11,12,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [10,11,6,5,4,7,3,8,2,9,12,1]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,5,4,3,6,8,2,9,12,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [10,11,7,6,4,5,3,2,8,9,12,1]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [10,11,8,5,4,3,6,2,7,9,12,1]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [10,11,8,6,4,3,2,5,7,9,12,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8,9,7,6,10,5,11,3,4,2,1,12]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,5,8,11,3,4,2,1,12]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,7,5,3,4,11,2,1,12]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [10,11,7,6,5,8,3,4,9,2,1,12]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [10,11,8,6,5,3,4,7,9,2,1,12]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [10,11,8,7,4,5,6,3,2,9,1,12]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [9,10,8,7,11,5,6,3,2,1,4,12]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [10,11,8,7,5,6,9,3,2,1,4,12]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,6,4,3,7,2,8,1,12]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,4,3,2,5,8,1,12]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10,11,9,6,7,5,3,4,2,1,8,12]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,8,4,3,2,5,1,6,12]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,8,5,3,2,1,4,6,12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [11,12,6,5,4,7,3,8,2,9,1,10]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,5,4,3,6,8,2,9,1,10]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [11,12,7,6,4,5,3,2,8,9,1,10]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [11,12,8,5,4,3,6,2,7,9,1,10]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [11,12,8,6,4,3,2,5,7,9,1,10]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [11,12,7,6,5,8,3,4,2,1,9,10]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [11,12,8,6,5,3,4,7,2,1,9,10]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [11,12,8,7,4,5,3,2,6,1,9,10]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [11,12,8,7,5,6,3,2,1,4,9,10]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [11,12,9,5,4,3,6,2,7,1,8,10]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [11,12,9,6,4,3,2,5,7,1,8,10]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [11,12,9,6,5,3,4,2,1,7,8,10]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,4,3,2,5,1,6,8,10]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,5,3,2,1,4,6,8,10]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [12,10,11,8,9,6,7,4,5,2,3,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9,10,11,12]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10,11,12]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [12,6,5,4,3,2,1,7,8,9,10,11]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [7,6,5,4,3,2,8,9,10,11,12,1]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [10,9,7,5,3,4,1,2,6,8,11,12]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [11,8,7,5,3,4,6,1,2,9,10,12]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [10,8,7,5,6,3,1,2,4,9,11,12]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [9,8,7,5,6,3,4,1,2,10,11,12]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,3,4,7,8,1,2,10,12]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [10,9,6,5,7,3,4,8,1,2,11,12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,3,1,2,4,10,12]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [11,7,6,5,8,9,3,4,1,2,10,12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [10,8,6,7,5,3,1,2,4,9,11,12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [9,8,6,7,5,3,4,1,2,10,11,12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [10,7,6,8,5,3,4,9,1,2,11,12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [9,7,6,8,5,10,3,1,2,4,11,12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [8,7,6,9,5,10,3,4,1,2,11,12]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,4,3,5,6,8,10,1,2,12]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [10,9,7,4,5,3,6,8,11,1,2,12]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [11,8,7,4,5,6,3,9,10,1,2,12]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,4,3,5,6,11,1,2,12]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,4,5,3,6,11,1,2,12]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,5,7,8,3,1,2,10,12]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [10,9,6,7,4,5,8,3,1,2,11,12]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,4,6,7,8,3,10,1,2,12]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [10,9,5,6,4,7,8,3,11,1,2,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,4,3,1,2,5,10,12]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,9,4,3,5,1,2,10,12]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,6,7,4,3,9,10,1,2,12]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,6,8,4,9,3,1,2,10,12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,8,4,9,3,10,1,2,12]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [10,8,9,6,4,3,1,2,5,7,11,12]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,3,5,1,2,7,11,12]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,4,3,5,9,1,2,11,12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,4,5,3,1,2,10,11,12]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,4,5,3,10,1,2,11,12]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [10,8,9,5,4,3,6,7,11,1,2,12]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [9,8,10,5,4,6,3,7,11,1,2,12]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [10,7,8,5,4,6,9,3,1,2,11,12]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [10,6,7,5,4,8,9,3,11,1,2,12]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [9,7,8,5,6,4,3,1,2,10,11,12]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8,7,9,5,6,4,3,10,1,2,11,12]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [9,6,7,5,8,4,3,10,11,1,2,12]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8,6,7,5,9,4,10,3,1,2,11,12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [7,6,8,5,9,4,10,3,11,1,2,12]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,2,3,4,6,8,10,1,12]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [10,9,7,5,6,2,3,4,8,11,1,12]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [11,8,7,5,6,9,2,3,4,10,1,12]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [10,8,7,9,5,2,3,4,6,11,1,12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,5,6,2,3,4,11,1,12]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,8,10,2,3,4,1,12]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [10,9,6,7,5,8,11,2,3,4,1,12]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,5,2,3,4,10,1,12]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,9,5,10,2,3,4,1,12]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [10,8,9,6,5,2,3,4,7,11,1,12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,5,7,2,3,4,11,1,12]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,9,11,2,3,4,1,12]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,5,2,3,4,11,1,12]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,5,11,2,3,4,1,12]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,4,5,6,8,10,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,4,5,6,11,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,10,4,5,6,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,4,5,6,11,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,4,5,6,2,1,3,12]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,3,4,5,6,8,2,10,1,12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,3,4,5,6,2,11,1,12]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,10,3,4,5,2,6,1,12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,3,4,5,6,2,11,1,12]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,11,3,4,5,2,6,1,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [11,9,6,7,8,10,4,2,1,3,5,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,7,8,4,2,1,3,5,12]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,6,7,8,4,2,3,1,10,12]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,6,7,4,2,3,1,8,12]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [11,9,6,7,8,10,3,2,4,5,1,12]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [10,9,11,6,7,8,3,2,4,5,1,12]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,6,7,8,3,4,2,1,10,12]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,5,6,7,3,4,2,1,8,12]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [11,9,4,5,6,7,3,8,2,10,1,12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [10,9,11,4,5,6,3,7,2,8,1,12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,4,2,1,3,5,7,12]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,6,4,2,3,1,5,10,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,5,4,2,3,6,1,7,12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,5,4,6,2,1,3,10,12]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [11,6,7,8,5,4,9,2,3,1,10,12]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,3,2,4,5,7,1,12]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,6,3,4,2,5,10,1,12]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,5,3,4,6,2,1,7,12]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,4,3,5,6,2,7,1,12]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,5,6,3,2,1,4,10,12]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [11,6,7,8,5,9,3,2,4,1,10,12]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,4,5,3,2,6,10,1,12]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [11,6,7,8,4,5,3,9,2,1,10,12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [11,5,6,7,4,8,3,9,2,10,1,12]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [10,11,8,6,4,2,1,3,5,7,9,12]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,4,2,3,1,5,7,11,12]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [10,11,7,6,4,2,3,5,1,8,9,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,4,5,2,1,3,8,11,12]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [8,9,7,6,4,5,2,3,1,10,11,12]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [10,11,8,5,4,2,3,6,7,1,9,12]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [9,10,8,5,4,6,2,3,7,1,11,12]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,5,4,6,8,2,1,3,9,12]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [10,11,6,5,4,7,8,2,3,1,9,12]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [9,10,7,5,6,4,2,1,3,8,11,12]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,9,7,5,6,4,2,3,1,10,11,12]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [9,10,6,5,7,4,2,3,8,1,11,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8,9,6,5,7,4,10,2,1,3,11,12]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [7,8,6,5,9,4,10,2,3,1,11,12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [10,11,8,6,3,2,4,5,7,9,1,12]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,3,4,2,5,7,11,1,12]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [10,11,7,6,3,4,5,2,8,9,1,12]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,8,3,2,4,5,11,1,12]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8,9,7,6,10,3,4,2,5,11,1,12]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [10,11,8,5,3,4,6,7,2,1,9,12]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [9,10,8,5,6,3,4,7,2,1,11,12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [10,11,8,4,3,5,6,7,2,9,1,12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [9,10,8,4,5,3,6,7,2,11,1,12]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,5,6,8,3,2,1,4,9,12]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [10,11,6,5,7,8,3,2,4,1,9,12]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,4,5,6,3,2,8,9,1,12]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [10,11,6,4,5,7,3,8,2,1,9,12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [10,11,5,4,6,7,3,8,2,9,1,12]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [9,10,7,8,5,3,2,1,4,6,11,12]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8,9,7,10,5,3,2,4,1,6,11,12]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,5,3,2,4,8,1,11,12]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8,9,6,7,5,3,4,2,1,10,11,12]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,5,3,4,2,10,1,11,12]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [9,10,7,8,4,3,2,5,6,11,1,12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [8,9,7,10,4,3,5,2,6,11,1,12]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,4,3,5,8,2,1,11,12]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [9,10,5,6,4,3,7,8,2,11,1,12]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [8,9,6,7,4,5,3,2,1,10,11,12]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,4,5,3,2,10,1,11,12]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [8,9,5,6,4,7,3,2,10,11,1,12]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [7,8,5,6,4,9,3,10,2,1,11,12]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,7,5,4,3,2,1,8,9,10,11,12]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [10,9,7,6,4,5,8,3,11,12,1,2]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [9,8,7,10,6,4,5,3,11,12,1,2]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [9,6,4,5,7,3,8,10,11,12,1,2]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [11,9,8,6,4,3,5,7,10,12,1,2]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [11,8,7,6,9,4,3,5,10,12,1,2]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [9,8,6,7,10,5,11,4,3,12,1,2]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,10,4,3,12,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [11,10,6,5,7,4,8,9,3,12,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,5,6,4,3,7,9,12,1,2]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,5,4,7,11,3,12,1,2]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,5,4,11,3,12,1,2]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [8,5,6,4,7,9,3,10,11,12,1,2]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,5,4,3,6,11,12,1,2]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,9,4,3,11,12,1,2]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [9,8,6,7,10,3,4,5,1,2,11,12]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,3,4,5,7,9,1,2,10,12]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [11,10,8,7,9,6,3,4,1,2,5,12]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,3,4,1,2,5,12]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,3,4,5,9,1,2,11,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [11,10,8,6,7,9,5,3,1,2,4,12]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,6,7,5,3,1,2,4,12]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,5,6,7,4,9,3,1,2,12]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,5,6,4,7,3,1,2,12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [10,6,7,8,5,3,4,9,1,2,11,12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,5,3,1,2,4,6,7,12]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,5,4,6,3,1,2,12]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [10,5,6,7,4,8,3,9,11,1,2,12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [10,7,8,9,4,5,3,1,2,6,11,12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [12,9,8,6,5,3,4,7,1,2,10,11]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [12,8,7,6,9,5,3,4,1,2,10,11]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [12,8,5,3,4,6,1,2,7,9,10,11]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [12,10,8,7,5,3,1,2,4,6,9,11]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [12,10,7,6,5,8,3,1,2,4,9,11]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [12,8,7,5,6,9,4,10,3,1,2,11]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,4,6,8,9,3,1,2,11]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [12,10,9,5,4,6,3,7,8,1,2,11]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,4,5,3,1,2,6,8,11]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [12,8,7,9,5,4,3,6,10,1,2,11]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [12,7,6,8,5,9,4,3,10,1,2,11]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [12,7,4,5,3,6,8,1,2,9,10,11]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,6,4,3,1,2,5,10,11]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,5,4,8,3,1,2,10,11]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [9,8,6,7,10,5,11,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,10,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [11,10,8,7,9,6,5,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,7,9,6,10,11,5,12,3,4,2,1]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,5,9,11,12,3,4,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,5,6,7,3,4,9,12,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,5,6,3,4,7,12,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,5,3,4,6,12,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [10,7,8,9,6,11,5,3,4,12,2,1]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [12,8,7,5,6,9,3,4,10,11,2,1]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [12,10,7,5,3,4,6,8,9,11,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,6,8,5,3,4,11,2,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [12,7,6,8,5,9,10,3,4,11,2,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,5,3,4,8,10,11,2,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [11,10,8,7,9,12,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,7,12,3,4,2,5,6,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [10,7,8,9,3,4,5,6,2,11,12,1]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,3,4,5,6,2,8,11,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [12,9,8,10,7,3,4,5,2,6,11,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [11,10,8,7,9,12,5,6,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,7,12,5,6,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [10,7,8,9,5,6,11,12,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [12,10,9,7,5,6,8,11,2,1,3,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [12,9,8,10,7,5,6,11,2,1,3,4]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [10,9,11,12,6,7,5,3,2,4,8,1]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,8,10,5,3,2,4,11,1]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [10,9,11,12,5,6,4,7,3,2,8,1]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [12,9,5,6,7,8,4,10,3,2,11,1]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [10,9,11,12,5,6,2,3,4,1,7,8]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [12,9,5,6,7,8,2,3,4,1,10,11]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [10,9,11,12,7,8,5,4,2,1,3,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,10,11,5,4,2,1,3,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [10,9,11,12,7,8,4,3,5,2,1,6]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [12,9,7,8,10,11,4,3,5,2,1,6]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [12,11,6,7,5,3,4,8,2,9,10,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,5,3,2,4,6,7,10,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,7,5,4,6,3,2,10,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [12,11,5,6,4,7,3,8,9,2,10,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,4,5,3,2,6,9,10,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [12,11,8,9,7,5,2,3,4,1,6,10]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,6,9,5,2,3,1,4,10]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,5,6,9,4,2,1,3,10]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [12,11,7,8,4,5,6,3,9,2,1,10]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,5,4,2,3,6,1,7,8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,7,4,2,1,3,5,6,8]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,7,6,4,3,5,2,1,8]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,4,3,5,2,6,7,1,8]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,6,3,4,2,1,5,7,8]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,5,3,4,7,2,11,12,1]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8,9,7,6,10,5,3,4,2,11,12,1]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [8,9,5,3,4,6,2,7,10,11,12,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [10,11,8,7,5,3,2,4,6,9,12,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [10,11,7,6,5,8,3,2,4,9,12,1]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,9,7,5,6,10,4,11,3,2,12,1]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,5,4,6,8,9,3,2,12,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [10,11,9,5,4,6,3,7,8,2,12,1]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,4,5,3,2,6,8,12,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8,9,7,10,5,4,3,6,11,2,12,1]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,5,10,4,3,11,2,12,1]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [7,8,4,5,3,6,9,2,10,11,12,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [9,10,7,8,6,4,3,2,5,11,12,1]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,5,4,8,3,2,11,12,1]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8,9,7,5,6,10,2,3,4,1,11,12]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [10,11,7,5,2,3,4,6,8,1,9,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,6,8,5,2,3,1,4,12]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [7,8,6,9,5,10,11,2,3,1,4,12]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,5,2,3,4,8,1,11,12]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,5,6,8,4,2,1,3,12]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,5,6,4,2,1,3,12]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [10,11,9,7,4,5,6,3,8,2,1,12]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,4,5,3,6,2,1,12]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [9,10,5,6,7,4,2,3,8,1,11,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [9,10,7,8,11,4,2,1,3,5,6,12]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [9,10,7,8,11,6,4,3,5,2,1,12]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [9,10,4,5,6,3,7,2,8,11,1,12]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [9,10,6,7,8,3,4,2,1,5,11,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [11,12,8,7,5,4,2,3,6,1,9,10]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [11,12,7,6,5,8,4,2,3,1,9,10]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,4,2,3,5,1,6,8,9,10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,6,4,2,1,3,5,8,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [11,12,9,6,5,4,7,2,1,3,8,10]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [11,12,7,6,4,5,8,3,9,2,1,10]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [11,12,9,6,4,3,5,7,8,2,1,10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [11,12,9,8,4,3,5,2,6,7,1,10]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [11,12,9,8,6,3,4,2,1,5,7,10]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [11,12,7,6,8,4,3,2,5,9,1,10]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [11,12,6,5,7,4,8,3,2,9,1,10]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [11,12,6,3,4,2,5,7,1,8,9,10]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [11,12,8,6,7,5,3,2,1,4,9,10]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [11,12,8,5,6,4,3,7,2,1,9,10]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [12,8,9,10,11,7,5,6,4,1,2,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [9,10,11,12,8,7,5,6,2,3,1,4]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [12,8,9,10,11,6,4,5,7,3,1,2]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [9,10,11,12,8,6,7,3,4,2,1,5]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [12,8,9,10,11,6,4,5,7,2,1,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [9,10,11,8,12,7,5,6,4,1,2,3]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [12,11,9,10,6,7,2,3,4,1,5,8]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,7,6,4,5,8,3,1,2]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [9,10,11,8,12,6,5,7,4,1,2,3]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [12,10,11,8,6,7,5,1,2,3,4,9]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,7,6,8,3,4,2,1,5]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [12,10,11,8,6,7,2,3,4,1,5,9]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,7,6,5,8,2,3,1,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [9,10,11,8,12,6,5,7,3,1,2,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [9,10,11,12,8,5,4,6,7,3,1,2]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [12,11,8,7,9,10,5,1,2,3,4,6]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,6,5,7,4,8,3,1,2]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [12,9,8,10,11,6,5,1,2,3,4,7]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,6,5,7,4,8,2,1,3]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [12,9,10,11,8,5,2,3,4,1,6,7]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,6,3,4,5,2,7,1,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [12,9,8,10,11,7,4,1,2,3,5,6]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [12,9,8,10,11,5,2,3,4,6,1,7]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,6,7,5,12,4,1,2,3]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [11,10,8,9,12,7,4,1,2,3,5,6]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,8,5,12,4,1,2,3]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,5,4,1,2,3,6,7]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,8,12,5,2,1,3,4]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,7,5,6,4,2,3,1,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [9,10,11,8,12,5,6,4,3,1,2,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [11,12,9,7,8,5,2,3,4,6,1,10]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,7,12,4,5,3,1,2,6]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,6,7,4,1,2,3,5,9]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,6,5,7,4,2,3,1,8]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,8,12,4,3,1,2,5]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [11,12,8,9,6,5,2,3,4,7,1,10]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [9,10,11,12,6,5,7,3,2,4,1,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,5,6,12,3,1,2,4]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,7,12,4,5,2,1,3,6]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,5,7,12,3,1,2,4]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [9,10,11,8,12,5,6,3,2,1,4,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [11,8,9,10,12,5,4,6,2,1,3,7]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [11,12,10,6,4,5,7,8,9,3,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [12,11,7,5,6,8,9,10,3,1,2,4]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,5,6,8,9,4,10,3,1,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,10,11,4,3,1,2,5]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,5,6,8,9,4,10,2,1,3]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,10,11,5,2,1,3,4]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,10,11,3,2,4,1,5]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,10,5,12,4,1,2,3]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,10,12,5,2,1,3,4]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,5,6,8,9,4,2,3,1,10]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [11,8,6,7,9,10,12,4,3,1,2,5]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [11,12,7,5,6,8,9,3,2,4,1,10]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [11,10,7,5,6,8,9,12,3,1,2,4]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,4,5,7,8,2,1,3,9]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,4,5,3,1,2,6,7,8]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [12,10,11,5,6,4,2,3,7,8,1,9]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,4,5,3,1,2,6,7,8]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [11,12,9,5,6,4,2,3,7,8,1,10]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,4,5,3,1,2,6,7,9]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [12,10,11,9,4,5,2,1,3,6,7,8]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [12,10,11,5,6,3,2,4,7,8,1,9]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [11,10,12,9,4,5,2,1,3,6,7,8]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [11,12,9,5,6,3,2,4,7,8,1,10]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [11,10,12,8,4,5,2,1,3,6,7,9]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,4,5,6,11,12,3,1,2]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,4,5,6,11,12,2,1,3]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [10,8,9,5,6,4,7,11,12,3,1,2]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [10,8,9,5,6,4,7,11,12,2,1,3]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,4,5,6,11,12,3,1,2]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [9,8,10,7,4,5,6,11,12,2,1,3]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [9,10,7,5,6,4,8,11,12,3,1,2]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [9,10,7,5,6,4,8,11,12,2,1,3]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,5,7,11,12,3,1,2]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [9,8,10,6,4,5,7,11,12,2,1,3]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,4,5,6,3,1,2,10,11]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [12,9,8,5,6,7,3,1,2,4,10,11]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [12,8,9,5,6,4,7,3,1,2,10,11]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,8,4,3,1,2,5,10,11]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [12,8,9,5,6,4,7,2,1,3,10,11]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,8,5,2,1,3,4,10,11]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [12,9,6,7,8,3,2,4,1,5,10,11]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,5,9,4,1,2,3,10,11]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,5,2,1,3,4,10,11]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [12,8,9,5,6,4,2,3,1,7,10,11]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [12,8,6,7,9,4,3,1,2,5,10,11]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [12,8,9,5,6,3,2,4,1,7,10,11]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [12,8,7,5,6,9,3,1,2,4,10,11]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [12,8,7,9,4,5,2,1,3,6,10,11]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,5,6,4,1,2,3,12]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,7,5,6,2,3,1,4,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,4,5,7,3,1,2,12]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,6,7,3,4,2,1,5,12]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,4,5,7,2,1,3,12]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,7,5,6,4,1,2,3,12]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [11,10,8,9,5,6,2,3,1,4,7,12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,4,5,8,3,1,2,12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,6,5,7,4,1,2,3,12]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,4,1,2,3,8,12]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,8,3,4,2,1,5,12]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [11,9,10,7,5,6,2,3,1,4,8,12]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,6,5,8,2,3,1,4,12]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,6,5,7,3,1,2,4,12]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [9,10,11,8,5,4,6,7,3,1,2,12]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [11,10,7,6,8,9,4,1,2,3,5,12]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [9,10,11,6,5,7,4,8,3,1,2,12]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,10,5,4,1,2,3,6,12]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [9,10,11,6,5,7,4,8,2,1,3,12]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,4,2,3,1,5,6,12]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,5,3,4,2,6,1,7,12]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,10,6,3,1,2,4,5,12]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,10,4,2,3,5,1,6,12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [9,10,8,6,7,5,11,4,1,2,3,12]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [10,9,7,8,11,6,3,1,2,4,5,12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,8,5,11,4,1,2,3,12]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,7,4,3,1,2,5,6,12]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,8,11,5,2,1,3,4,12]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [9,10,11,7,5,6,4,2,3,1,8,12]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,5,6,4,3,1,2,7,12]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [10,11,8,6,7,4,2,3,5,1,9,12]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [9,10,8,7,11,4,5,3,1,2,6,12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [10,9,11,7,5,6,3,1,2,4,8,12]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [9,10,11,6,5,7,4,2,3,1,8,12]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [9,10,7,6,8,11,4,3,1,2,5,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [10,11,7,8,5,4,2,3,6,1,9,12]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [9,10,11,6,5,7,3,2,4,1,8,12]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,5,6,11,3,1,2,4,12]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [9,10,8,7,11,4,5,2,1,3,6,12]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [10,8,9,6,5,7,11,3,1,2,4,12]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [9,10,8,11,5,6,3,2,1,4,7,12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [10,8,9,11,5,4,6,2,1,3,7,12]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [10,1,2,3,4,5,6,7,8,9,11,12]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [12,11,10,9,8,7,6,5,4,3,1,2]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [7,6,5,4,3,1,2,8,9,10,11,12]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [12,10,9,11,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [12,10,11,9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8,6,7,5,9,10,4,11,3,12,2,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [9,6,7,5,8,4,10,11,3,12,2,1]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [9,7,8,5,6,4,10,11,12,3,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,11,4,3,5,12,2,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [10,6,7,5,8,4,9,3,11,12,2,1]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [10,7,8,9,5,6,4,11,12,3,2,1]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,9,4,3,5,11,12,2,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [10,8,9,11,12,5,4,6,3,7,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [10,8,9,11,12,6,7,4,3,5,2,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,11,5,12,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,9,5,11,12,3,2,4,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [10,8,9,11,12,6,5,7,3,2,4,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,11,12,4,3,5,2,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,11,12,5,3,2,4,6,1]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [11,6,7,8,5,9,4,10,3,12,2,1]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [11,7,8,5,6,9,4,10,12,3,2,1]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,6,10,4,3,5,12,2,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,5,6,7,4,12,3,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [11,8,9,6,7,10,12,4,5,3,2,1]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,6,10,5,12,3,2,4,1]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,7,12,5,3,2,4,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,12,4,3,5,2,6,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,12,5,3,2,4,6,1]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [11,9,10,5,6,7,8,4,12,3,2,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,6,4,5,7,8,3,2,1]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [11,9,10,6,7,8,12,5,3,2,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,4,5,6,8,3,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,6,3,4,2,1]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [9,7,8,6,10,11,5,12,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [10,7,8,6,9,5,11,12,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [10,8,9,11,12,6,5,7,4,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,11,12,5,4,6,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [11,7,8,9,6,10,5,12,4,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,6,7,12,5,4,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,12,5,4,6,2,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [11,9,10,6,7,8,12,5,4,2,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,5,6,4,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,11,12,6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,12,6,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,6,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [10,8,9,7,11,12,6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [11,8,9,10,7,12,6,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [11,9,10,12,7,8,6,4,2,1,3,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,4,3,5,2,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,5,3,2,4,6,1,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,5,4,6,2,1,3,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,6,3,2,4,1,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [11,9,10,12,8,6,4,2,1,3,5,7]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [12,6,7,5,8,4,9,3,10,2,11,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [12,7,8,5,6,4,9,10,3,11,2,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [12,7,8,6,9,4,3,5,10,2,11,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [12,8,9,5,6,4,7,3,10,11,2,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [12,8,9,10,11,6,4,5,3,7,2,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [12,7,8,6,9,5,10,3,2,4,11,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [12,8,9,6,7,5,10,11,3,2,4,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,4,3,5,2,6,11,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,5,3,2,4,6,11,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,5,4,6,3,7,2,8,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,6,4,5,3,7,8,2,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,6,5,7,3,2,4,8,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,7,8,4,3,5,2,6,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,7,8,5,6,3,2,4,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [12,7,8,6,9,5,10,4,11,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [12,8,9,6,7,5,10,11,4,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,5,4,6,11,2,1,3]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,6,5,7,4,8,2,1,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,7,8,5,4,6,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,6,11,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,7,6,8,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [12,8,9,7,10,6,11,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [12,9,10,11,7,6,8,4,2,1,3,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,4,3,5,2,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,5,3,2,4,6,1,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,5,4,6,2,1,3,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,6,3,2,4,1,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [12,9,10,8,11,6,4,2,1,3,5,7]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [12,10,11,5,4,6,3,7,2,8,9,1]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [12,10,11,6,7,4,5,8,3,9,2,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [12,10,11,6,5,7,3,2,4,8,9,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [12,10,11,7,4,5,6,3,8,9,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [12,10,11,7,8,5,6,9,3,4,2,1]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [12,10,11,6,5,7,4,8,9,2,1,3]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [12,10,11,7,5,6,8,9,4,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [12,10,11,7,6,8,9,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [12,10,11,7,6,8,9,4,2,1,3,5]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [12,10,11,8,4,5,6,7,3,9,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [12,10,11,8,9,5,3,4,6,7,2,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [12,10,11,8,5,6,7,9,4,2,1,3]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [12,10,11,8,9,6,3,4,5,7,2,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,4,3,5,2,6,1,7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,5,3,2,4,6,1,7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,5,4,6,2,1,3,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,3,2,4,1,5,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,4,2,1,3,5,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [10,9,11,8,7,6,5,4,3,2,1,12]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,3,2,4,6,8,10,1,12]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [12,10,9,8,7,6,5,4,3,2,1,11]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,7,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,9,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,12,4,5,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,12,4,5,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,5,4,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,4,6,7,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,5,7,4,8,9,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,5,4,6,8,9,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,4,10,12,2,3,1]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,4,10,12,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,5,4,6,10,12,2,3,1]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,4,8,10,12,2,3,1]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,4,6,8,10,12,2,3,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,7,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,7,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,9,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,12,3,2,4,5,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,12,3,2,4,5,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,4,3,5,2,6,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,4,3,5,2,6,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,5,3,2,4,6,7,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,3,2,4,6,7,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [11,10,12,5,4,6,3,7,2,8,9,1]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,4,3,5,7,2,8,9,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,5,7,3,2,4,8,9,1]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,4,3,5,2,6,8,9,1]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,5,3,2,4,6,8,9,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,7,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,7,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,9,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,12,4,5,2,1,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,12,4,5,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,5,4,6,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,5,4,6,7,2,1,3]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [11,10,12,6,5,7,4,8,9,2,1,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,5,4,6,8,9,2,1,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,7,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,7,3,2,4,1,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,9,3,2,4,1,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [11,10,12,8,9,6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [11,9,8,10,12,6,7,4,2,1,3,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [11,10,12,7,6,8,9,4,2,1,3,5]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [11,6,5,7,4,8,3,9,2,10,1,12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [11,7,5,4,6,8,3,9,2,10,1,12]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,4,3,5,9,2,10,1,12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [11,8,5,4,6,3,7,9,2,10,1,12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,4,3,5,7,9,2,10,1,12]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,3,2,4,10,1,12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,3,2,4,10,1,12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,4,3,5,2,6,10,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,5,3,2,4,6,10,1,12]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [11,9,5,4,6,3,7,2,8,10,1,12]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,4,3,5,7,2,8,10,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,3,2,4,8,10,1,12]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,4,3,5,2,6,8,10,1,12]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [11,7,6,8,5,9,4,10,2,1,3,12]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [11,8,6,5,7,9,4,10,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,5,4,6,10,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [11,9,6,5,7,4,8,10,2,1,3,12]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [11,9,7,5,4,6,8,10,2,1,3,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,3,2,4,1,5,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,3,2,4,1,5,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [11,8,7,9,6,10,4,2,1,3,5,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [11,9,7,6,8,10,4,2,1,3,5,12]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [11,9,8,10,4,3,5,2,6,1,7,12]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [11,9,8,10,5,3,2,4,6,1,7,12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [11,9,8,10,5,4,6,2,1,3,7,12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [11,9,8,10,6,3,2,4,1,5,7,12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [11,9,8,10,6,4,2,1,3,5,7,12]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [11,10,5,4,6,3,7,2,8,1,9,12]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [11,10,6,4,3,5,7,2,8,1,9,12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [11,10,6,5,7,3,2,4,8,1,9,12]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [11,10,7,4,3,5,2,6,8,1,9,12]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [11,10,7,5,3,2,4,6,8,1,9,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [11,10,6,5,7,4,8,2,1,3,9,12]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [11,10,7,5,4,6,8,2,1,3,9,12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [11,10,7,6,8,3,2,4,1,5,9,12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [11,10,7,6,8,4,2,1,3,5,9,12]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,4,3,5,2,6,1,7,9,12]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,5,3,2,4,6,1,7,9,12]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [11,10,8,5,4,6,2,1,3,7,9,12]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [11,10,8,6,3,2,4,1,5,7,9,12]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [11,10,8,6,4,2,1,3,5,7,9,12]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
References
[1] Krattenthaler, C. Permutations with restricted patterns and Dyck paths MathSciNet:1868978 arXiv:math/0002200
Properties
injective, graded
Sage code
def mapping(elt):
    return elt.to_132_avoiding_permutation()
Weight
26
Created
May 02, 2019 at 18:49 by Christian Stump
Updated
Jan 19, 2020 at 07:28 by Martin Rubey