edit this map or download as text // json
Identifier
Mp00056: Parking functions —to Dyck path⟶ Dyck paths
Images
[1] => [1,0]
[1,1] => [1,1,0,0]
[1,2] => [1,0,1,0]
[2,1] => [1,0,1,0]
[1,1,1] => [1,1,1,0,0,0]
[1,1,2] => [1,1,0,1,0,0]
[1,2,1] => [1,1,0,1,0,0]
[2,1,1] => [1,1,0,1,0,0]
[1,1,3] => [1,1,0,0,1,0]
[1,3,1] => [1,1,0,0,1,0]
[3,1,1] => [1,1,0,0,1,0]
[1,2,2] => [1,0,1,1,0,0]
[2,1,2] => [1,0,1,1,0,0]
[2,2,1] => [1,0,1,1,0,0]
[1,2,3] => [1,0,1,0,1,0]
[1,3,2] => [1,0,1,0,1,0]
[2,1,3] => [1,0,1,0,1,0]
[2,3,1] => [1,0,1,0,1,0]
[3,1,2] => [1,0,1,0,1,0]
[3,2,1] => [1,0,1,0,1,0]
[1,1,1,1] => [1,1,1,1,0,0,0,0]
[1,1,1,2] => [1,1,1,0,1,0,0,0]
[1,1,2,1] => [1,1,1,0,1,0,0,0]
[1,2,1,1] => [1,1,1,0,1,0,0,0]
[2,1,1,1] => [1,1,1,0,1,0,0,0]
[1,1,1,3] => [1,1,1,0,0,1,0,0]
[1,1,3,1] => [1,1,1,0,0,1,0,0]
[1,3,1,1] => [1,1,1,0,0,1,0,0]
[3,1,1,1] => [1,1,1,0,0,1,0,0]
[1,1,1,4] => [1,1,1,0,0,0,1,0]
[1,1,4,1] => [1,1,1,0,0,0,1,0]
[1,4,1,1] => [1,1,1,0,0,0,1,0]
[4,1,1,1] => [1,1,1,0,0,0,1,0]
[1,1,2,2] => [1,1,0,1,1,0,0,0]
[1,2,1,2] => [1,1,0,1,1,0,0,0]
[1,2,2,1] => [1,1,0,1,1,0,0,0]
[2,1,1,2] => [1,1,0,1,1,0,0,0]
[2,1,2,1] => [1,1,0,1,1,0,0,0]
[2,2,1,1] => [1,1,0,1,1,0,0,0]
[1,1,2,3] => [1,1,0,1,0,1,0,0]
[1,1,3,2] => [1,1,0,1,0,1,0,0]
[1,2,1,3] => [1,1,0,1,0,1,0,0]
[1,2,3,1] => [1,1,0,1,0,1,0,0]
[1,3,1,2] => [1,1,0,1,0,1,0,0]
[1,3,2,1] => [1,1,0,1,0,1,0,0]
[2,1,1,3] => [1,1,0,1,0,1,0,0]
[2,1,3,1] => [1,1,0,1,0,1,0,0]
[2,3,1,1] => [1,1,0,1,0,1,0,0]
[3,1,1,2] => [1,1,0,1,0,1,0,0]
[3,1,2,1] => [1,1,0,1,0,1,0,0]
[3,2,1,1] => [1,1,0,1,0,1,0,0]
[1,1,2,4] => [1,1,0,1,0,0,1,0]
[1,1,4,2] => [1,1,0,1,0,0,1,0]
[1,2,1,4] => [1,1,0,1,0,0,1,0]
[1,2,4,1] => [1,1,0,1,0,0,1,0]
[1,4,1,2] => [1,1,0,1,0,0,1,0]
[1,4,2,1] => [1,1,0,1,0,0,1,0]
[2,1,1,4] => [1,1,0,1,0,0,1,0]
[2,1,4,1] => [1,1,0,1,0,0,1,0]
[2,4,1,1] => [1,1,0,1,0,0,1,0]
[4,1,1,2] => [1,1,0,1,0,0,1,0]
[4,1,2,1] => [1,1,0,1,0,0,1,0]
[4,2,1,1] => [1,1,0,1,0,0,1,0]
[1,1,3,3] => [1,1,0,0,1,1,0,0]
[1,3,1,3] => [1,1,0,0,1,1,0,0]
[1,3,3,1] => [1,1,0,0,1,1,0,0]
[3,1,1,3] => [1,1,0,0,1,1,0,0]
[3,1,3,1] => [1,1,0,0,1,1,0,0]
[3,3,1,1] => [1,1,0,0,1,1,0,0]
[1,1,3,4] => [1,1,0,0,1,0,1,0]
[1,1,4,3] => [1,1,0,0,1,0,1,0]
[1,3,1,4] => [1,1,0,0,1,0,1,0]
[1,3,4,1] => [1,1,0,0,1,0,1,0]
[1,4,1,3] => [1,1,0,0,1,0,1,0]
[1,4,3,1] => [1,1,0,0,1,0,1,0]
[3,1,1,4] => [1,1,0,0,1,0,1,0]
[3,1,4,1] => [1,1,0,0,1,0,1,0]
[3,4,1,1] => [1,1,0,0,1,0,1,0]
[4,1,1,3] => [1,1,0,0,1,0,1,0]
[4,1,3,1] => [1,1,0,0,1,0,1,0]
[4,3,1,1] => [1,1,0,0,1,0,1,0]
[1,2,2,2] => [1,0,1,1,1,0,0,0]
[2,1,2,2] => [1,0,1,1,1,0,0,0]
[2,2,1,2] => [1,0,1,1,1,0,0,0]
[2,2,2,1] => [1,0,1,1,1,0,0,0]
[1,2,2,3] => [1,0,1,1,0,1,0,0]
[1,2,3,2] => [1,0,1,1,0,1,0,0]
[1,3,2,2] => [1,0,1,1,0,1,0,0]
[2,1,2,3] => [1,0,1,1,0,1,0,0]
[2,1,3,2] => [1,0,1,1,0,1,0,0]
[2,2,1,3] => [1,0,1,1,0,1,0,0]
[2,2,3,1] => [1,0,1,1,0,1,0,0]
[2,3,1,2] => [1,0,1,1,0,1,0,0]
[2,3,2,1] => [1,0,1,1,0,1,0,0]
[3,1,2,2] => [1,0,1,1,0,1,0,0]
[3,2,1,2] => [1,0,1,1,0,1,0,0]
[3,2,2,1] => [1,0,1,1,0,1,0,0]
[1,2,2,4] => [1,0,1,1,0,0,1,0]
[1,2,4,2] => [1,0,1,1,0,0,1,0]
[1,4,2,2] => [1,0,1,1,0,0,1,0]
[2,1,2,4] => [1,0,1,1,0,0,1,0]
>>> Load all 18248 entries. <<<
[2,1,4,2] => [1,0,1,1,0,0,1,0]
[2,2,1,4] => [1,0,1,1,0,0,1,0]
[2,2,4,1] => [1,0,1,1,0,0,1,0]
[2,4,1,2] => [1,0,1,1,0,0,1,0]
[2,4,2,1] => [1,0,1,1,0,0,1,0]
[4,1,2,2] => [1,0,1,1,0,0,1,0]
[4,2,1,2] => [1,0,1,1,0,0,1,0]
[4,2,2,1] => [1,0,1,1,0,0,1,0]
[1,2,3,3] => [1,0,1,0,1,1,0,0]
[1,3,2,3] => [1,0,1,0,1,1,0,0]
[1,3,3,2] => [1,0,1,0,1,1,0,0]
[2,1,3,3] => [1,0,1,0,1,1,0,0]
[2,3,1,3] => [1,0,1,0,1,1,0,0]
[2,3,3,1] => [1,0,1,0,1,1,0,0]
[3,1,2,3] => [1,0,1,0,1,1,0,0]
[3,1,3,2] => [1,0,1,0,1,1,0,0]
[3,2,1,3] => [1,0,1,0,1,1,0,0]
[3,2,3,1] => [1,0,1,0,1,1,0,0]
[3,3,1,2] => [1,0,1,0,1,1,0,0]
[3,3,2,1] => [1,0,1,0,1,1,0,0]
[1,2,3,4] => [1,0,1,0,1,0,1,0]
[1,2,4,3] => [1,0,1,0,1,0,1,0]
[1,3,2,4] => [1,0,1,0,1,0,1,0]
[1,3,4,2] => [1,0,1,0,1,0,1,0]
[1,4,2,3] => [1,0,1,0,1,0,1,0]
[1,4,3,2] => [1,0,1,0,1,0,1,0]
[2,1,3,4] => [1,0,1,0,1,0,1,0]
[2,1,4,3] => [1,0,1,0,1,0,1,0]
[2,3,1,4] => [1,0,1,0,1,0,1,0]
[2,3,4,1] => [1,0,1,0,1,0,1,0]
[2,4,1,3] => [1,0,1,0,1,0,1,0]
[2,4,3,1] => [1,0,1,0,1,0,1,0]
[3,1,2,4] => [1,0,1,0,1,0,1,0]
[3,1,4,2] => [1,0,1,0,1,0,1,0]
[3,2,1,4] => [1,0,1,0,1,0,1,0]
[3,2,4,1] => [1,0,1,0,1,0,1,0]
[3,4,1,2] => [1,0,1,0,1,0,1,0]
[3,4,2,1] => [1,0,1,0,1,0,1,0]
[4,1,2,3] => [1,0,1,0,1,0,1,0]
[4,1,3,2] => [1,0,1,0,1,0,1,0]
[4,2,1,3] => [1,0,1,0,1,0,1,0]
[4,2,3,1] => [1,0,1,0,1,0,1,0]
[4,3,1,2] => [1,0,1,0,1,0,1,0]
[4,3,2,1] => [1,0,1,0,1,0,1,0]
[1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0]
[1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0]
[1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0]
[2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0]
[1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0]
[1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0]
[3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0]
[1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0]
[1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0]
[4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0]
[1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0]
[1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0]
[5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0]
[1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0]
[1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0]
[1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0]
[1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0]
[1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0]
[2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0]
[2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0]
[2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0]
[2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0]
[1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0]
[1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0]
[1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0]
[1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0]
[1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0]
[1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0]
[1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0]
[1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0]
[1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0]
[1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0]
[1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0]
[1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0]
[2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0]
[2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0]
[2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0]
[2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0]
[3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0]
[3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0]
[3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0]
[3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0]
[1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0]
[1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0]
[1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0]
[1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0]
[1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0]
[1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0]
[1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0]
[1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0]
[1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0]
[1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0]
[1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0]
[2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0]
[2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0]
[2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0]
[2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0]
[4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0]
[4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0]
[4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0]
[4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0]
[1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0]
[1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0]
[1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0]
[1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0]
[1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0]
[1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0]
[1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0]
[1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0]
[1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0]
[1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0]
[2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0]
[2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0]
[2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0]
[2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0]
[5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0]
[5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0]
[5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0]
[5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0]
[1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0]
[1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0]
[1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0]
[1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0]
[1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0]
[3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0]
[3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0]
[3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0]
[3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0]
[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0]
[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0]
[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0]
[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0]
[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0]
[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0]
[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0]
[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0]
[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0]
[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0]
[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0]
[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0]
[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0]
[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0]
[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0]
[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0]
[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0]
[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0]
[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0]
[1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0]
[1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0]
[1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0]
[1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0]
[1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0]
[1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0]
[1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0]
[1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0]
[1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0]
[1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0]
[3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0]
[3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0]
[3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0]
[3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0]
[5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0]
[5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0]
[5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0]
[5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0]
[1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0]
[1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0]
[1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0]
[1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0]
[1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0]
[4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0]
[4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0]
[4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0]
[4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0]
[1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0]
[1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0]
[1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0]
[1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0]
[1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0]
[1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0]
[1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0]
[1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0]
[1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0]
[1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0]
[4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0]
[4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0]
[4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0]
[4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0]
[5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0]
[5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0]
[5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0]
[5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0]
[1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0]
[2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0]
[2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0]
[2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0]
[1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0]
[1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0]
[1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0]
[1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0]
[1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0]
[1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0]
[1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0]
[1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0]
[1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0]
[2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0]
[2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0]
[2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0]
[2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0]
[2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0]
[2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0]
[2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0]
[2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0]
[2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0]
[3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0]
[3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0]
[3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0]
[3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0]
[3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0]
[3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0]
[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0]
[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0]
[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0]
[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0]
[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0]
[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0]
[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0]
[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0]
[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0]
[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0]
[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0]
[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0]
[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0]
[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0]
[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0]
[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0]
[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0]
[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0]
[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0]
[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0]
[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0]
[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0]
[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0]
[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0]
[1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0]
[1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0]
[1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0]
[1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0]
[1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0]
[1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0]
[1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0]
[1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0]
[1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0]
[2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0]
[2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0]
[2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0]
[2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0]
[2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0]
[2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0]
[2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0]
[2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0]
[2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0]
[5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0]
[5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0]
[5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0]
[5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0]
[5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0]
[5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0]
[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0]
[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0]
[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0]
[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0]
[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0]
[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0]
[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0]
[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0]
[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0]
[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0]
[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0]
[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0]
[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0]
[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0]
[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0]
[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0]
[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0]
[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0]
[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0]
[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0]
[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0]
[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0]
[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0]
[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0]
[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0]
[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0]
[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0]
[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0]
[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0]
[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0]
[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0]
[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0]
[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0]
[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0]
[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0]
[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0]
[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0]
[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0]
[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0]
[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0]
[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0]
[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0]
[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0]
[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0]
[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0]
[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0]
[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0]
[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0]
[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0]
[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0]
[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0]
[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0]
[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0]
[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0]
[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0]
[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0]
[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0]
[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0]
[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0]
[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0]
[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0]
[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0]
[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0]
[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0]
[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0]
[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0]
[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0]
[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0]
[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0]
[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0]
[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0]
[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0]
[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0]
[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0]
[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0]
[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0]
[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0]
[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0]
[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0]
[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0]
[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0]
[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0]
[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0]
[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0]
[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0]
[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0]
[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0]
[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0]
[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0]
[1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0]
[1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0]
[1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0]
[1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0]
[1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0]
[1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0]
[1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0]
[1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0]
[1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0]
[1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0]
[1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0]
[1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0]
[1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0]
[1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0]
[1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0]
[1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0]
[1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0]
[1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0]
[1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0]
[1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0]
[1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0]
[1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0]
[1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0]
[1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0]
[2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0]
[2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0]
[2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0]
[2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0]
[2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0]
[2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0]
[2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0]
[2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0]
[2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0]
[2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0]
[2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0]
[2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0]
[3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0]
[3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0]
[3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0]
[3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0]
[3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0]
[3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0]
[3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0]
[3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0]
[3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0]
[3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0]
[3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0]
[3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0]
[5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0]
[5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0]
[5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0]
[5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0]
[5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0]
[5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0]
[5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0]
[5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0]
[5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0]
[5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0]
[5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0]
[5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0]
[1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0]
[1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0]
[1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0]
[1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0]
[1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0]
[1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0]
[1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0]
[1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0]
[1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0]
[1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0]
[1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0]
[1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0]
[2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0]
[2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0]
[2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0]
[2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0]
[2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0]
[2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0]
[4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0]
[4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0]
[4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0]
[4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0]
[4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0]
[4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0]
[4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0]
[4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0]
[4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0]
[4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0]
[4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0]
[4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0]
[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0]
[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0]
[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0]
[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0]
[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0]
[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0]
[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0]
[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0]
[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0]
[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0]
[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0]
[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0]
[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0]
[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0]
[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0]
[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0]
[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0]
[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0]
[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0]
[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0]
[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0]
[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0]
[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0]
[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0]
[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0]
[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0]
[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0]
[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0]
[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0]
[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0]
[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0]
[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0]
[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0]
[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0]
[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0]
[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0]
[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0]
[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0]
[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0]
[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0]
[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0]
[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0]
[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0]
[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0]
[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0]
[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0]
[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0]
[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0]
[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0]
[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0]
[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0]
[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0]
[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0]
[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0]
[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0]
[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0]
[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0]
[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0]
[1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0]
[3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0]
[3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0]
[3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0]
[1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0]
[1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0]
[1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0]
[1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0]
[1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0]
[1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0]
[1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0]
[1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0]
[1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0]
[3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0]
[3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0]
[3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0]
[3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0]
[3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0]
[3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0]
[3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0]
[3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0]
[3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0]
[4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0]
[4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0]
[4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0]
[4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0]
[4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0]
[4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0]
[1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0]
[1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0]
[1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0]
[1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0]
[1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0]
[1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0]
[1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0]
[1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0]
[1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0]
[3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0]
[3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0]
[3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0]
[3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0]
[3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0]
[3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0]
[3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0]
[3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0]
[3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0]
[5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0]
[5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0]
[5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0]
[5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0]
[5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0]
[5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0]
[1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0]
[1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0]
[1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0]
[1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0]
[1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0]
[1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0]
[1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0]
[1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0]
[1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0]
[1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0]
[1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0]
[1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0]
[3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0]
[3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0]
[3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0]
[3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0]
[3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0]
[3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0]
[4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0]
[4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0]
[4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0]
[4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0]
[4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0]
[4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0]
[4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0]
[4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0]
[4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0]
[4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0]
[4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0]
[4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0]
[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0]
[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0]
[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0]
[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0]
[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0]
[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0]
[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0]
[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0]
[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0]
[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0]
[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0]
[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0]
[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0]
[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0]
[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0]
[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0]
[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0]
[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0]
[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0]
[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0]
[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0]
[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0]
[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0]
[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0]
[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0]
[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0]
[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0]
[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0]
[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0]
[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0]
[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0]
[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0]
[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0]
[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0]
[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0]
[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0]
[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0]
[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0]
[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0]
[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0]
[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0]
[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0]
[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0]
[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0]
[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0]
[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0]
[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0]
[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0]
[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0]
[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0]
[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0]
[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0]
[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0]
[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0]
[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0]
[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0]
[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0]
[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0]
[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0]
[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0]
[1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0]
[1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0]
[1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0]
[1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0]
[1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0]
[2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0]
[2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0]
[2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0]
[2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0]
[2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0]
[2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0]
[2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0]
[3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0]
[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0]
[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0]
[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0]
[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0]
[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0]
[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0]
[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0]
[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0]
[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0]
[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0]
[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0]
[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0]
[1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0]
[1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0]
[1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0]
[1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0]
[2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0]
[2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0]
[2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0]
[2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0]
[2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0]
[2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0]
[2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0]
[5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0]
[1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0]
[1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0]
[1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0]
[1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0]
[1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0]
[1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0]
[2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0]
[2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0]
[2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0]
[2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0]
[2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0]
[2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0]
[2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0]
[2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0]
[2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0]
[2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0]
[2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0]
[2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0]
[3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0]
[3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0]
[3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0]
[3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0]
[3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0]
[3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0]
[3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0]
[3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0]
[3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0]
[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0]
[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0]
[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0]
[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0]
[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0]
[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0]
[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0]
[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0]
[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0]
[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0]
[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0]
[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0]
[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0]
[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0]
[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0]
[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0]
[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0]
[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0]
[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0]
[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0]
[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0]
[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0]
[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0]
[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0]
[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0]
[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0]
[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0]
[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0]
[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0]
[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0]
[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0]
[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0]
[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0]
[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0]
[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0]
[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0]
[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0]
[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0]
[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0]
[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0]
[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0]
[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0]
[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0]
[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0]
[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0]
[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0]
[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0]
[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0]
[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0]
[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0]
[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0]
[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0]
[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0]
[1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0]
[1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0]
[1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0]
[1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0]
[1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0]
[1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0]
[1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0]
[1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0]
[1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0]
[1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0]
[1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0]
[1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0]
[2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0]
[2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0]
[2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0]
[2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0]
[2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0]
[2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0]
[2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0]
[2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0]
[2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0]
[2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0]
[2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0]
[2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0]
[2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0]
[2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0]
[2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0]
[2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0]
[2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0]
[2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0]
[2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0]
[2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0]
[2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0]
[2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0]
[2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0]
[2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0]
[3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0]
[3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0]
[3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0]
[3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0]
[3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0]
[3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0]
[3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0]
[3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0]
[3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0]
[5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0]
[5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0]
[5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0]
[5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0]
[5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0]
[5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0]
[5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0]
[5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0]
[5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0]
[1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0]
[1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0]
[1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0]
[1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0]
[1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0]
[1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0]
[2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0]
[2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0]
[2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0]
[2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0]
[2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0]
[2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0]
[2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0]
[2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0]
[2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0]
[2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0]
[2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0]
[2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0]
[4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0]
[4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0]
[4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0]
[4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0]
[4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0]
[4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0]
[4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0]
[4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0]
[4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0]
[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0]
[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0]
[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0]
[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0]
[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0]
[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0]
[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0]
[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0]
[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0]
[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0]
[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0]
[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0]
[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0]
[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0]
[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0]
[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0]
[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0]
[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0]
[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0]
[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0]
[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0]
[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0]
[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0]
[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0]
[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0]
[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0]
[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0]
[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0]
[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0]
[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0]
[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0]
[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0]
[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0]
[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0]
[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0]
[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0]
[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0]
[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0]
[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0]
[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0]
[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0]
[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0]
[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0]
[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0]
[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0]
[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0]
[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0]
[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0]
[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0]
[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0]
[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0]
[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0]
[1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0]
[2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0]
[3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0]
[3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0]
[3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0]
[3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0]
[3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0]
[3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0]
[3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0]
[3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0]
[3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0]
[1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0]
[1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0]
[1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0]
[1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0]
[1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0]
[1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0]
[1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0]
[2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0]
[2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0]
[2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0]
[2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0]
[2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0]
[2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0]
[2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0]
[2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0]
[3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0]
[3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0]
[3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0]
[3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0]
[3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0]
[3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0]
[3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0]
[3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0]
[3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0]
[3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0]
[3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0]
[3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0]
[3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0]
[3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0]
[3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0]
[3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0]
[3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0]
[3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0]
[3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0]
[3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0]
[3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0]
[4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0]
[4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0]
[4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0]
[4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0]
[4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0]
[4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0]
[4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0]
[4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0]
[4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0]
[4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0]
[4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0]
[4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0]
[1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0]
[1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0]
[1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0]
[1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0]
[1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0]
[1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0]
[1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0]
[1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0]
[1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0]
[1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0]
[1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0]
[1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0]
[2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0]
[2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0]
[2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0]
[2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0]
[2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0]
[2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0]
[2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0]
[2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0]
[2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0]
[2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0]
[2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0]
[2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0]
[3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0]
[3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0]
[3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0]
[3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0]
[3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0]
[3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0]
[3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0]
[3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0]
[3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0]
[3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0]
[3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0]
[3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0]
[3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0]
[3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0]
[3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0]
[3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0]
[3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0]
[3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0]
[3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0]
[3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0]
[3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0]
[3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0]
[3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0]
[3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0]
[5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0]
[5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0]
[5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0]
[5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0]
[5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0]
[5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0]
[5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0]
[5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0]
[5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0]
[5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0]
[5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0]
[5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0]
[1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0]
[1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0]
[1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0]
[1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0]
[1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0]
[1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0]
[1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0]
[1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0]
[1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0]
[1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0]
[1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0]
[2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0]
[2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0]
[2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0]
[2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0]
[2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0]
[2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0]
[2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0]
[2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0]
[2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0]
[2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0]
[2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0]
[3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0]
[3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0]
[3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0]
[3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0]
[3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0]
[3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0]
[3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0]
[3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0]
[3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0]
[3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0]
[3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0]
[3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0]
[4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0]
[4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0]
[4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0]
[4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0]
[4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0]
[4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0]
[4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0]
[4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0]
[4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0]
[4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0]
[4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0]
[4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0]
[4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0]
[4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0]
[4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0]
[4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0]
[4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0]
[4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0]
[4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0]
[4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0]
[4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0]
[4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0]
[4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0]
[4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0]
[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0]
[1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0]
[1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0]
[1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0]
[1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0]
[1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0]
[1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0]
[1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0]
[1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0]
[1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0]
[1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0]
[1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0]
[1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0]
[1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0]
[1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0]
[1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0]
[1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0]
[1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0]
[1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0]
[1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0]
[1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0]
[1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0]
[1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0]
[1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0]
[2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0]
[2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0]
[2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0]
[2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0]
[2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0]
[2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0]
[2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0]
[2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0]
[2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0]
[2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0]
[2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0]
[2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0]
[2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0]
[2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0]
[2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0]
[2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0]
[2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0]
[2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0]
[2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0]
[2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0]
[2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0]
[2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0]
[2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0]
[2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0]
[3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0]
[3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0]
[3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0]
[3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0]
[3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0]
[3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0]
[3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0]
[3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0]
[3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0]
[3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0]
[3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0]
[3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0]
[3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0]
[3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0]
[3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0]
[3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0]
[3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0]
[3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0]
[3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0]
[3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0]
[3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0]
[3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0]
[4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0]
[4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0]
[4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0]
[4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0]
[4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0]
[4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0]
[4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0]
[4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0]
[4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0]
[4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0]
[4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0]
[4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0]
[4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0]
[4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0]
[4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0]
[4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0]
[4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0]
[4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0]
[4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0]
[4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0]
[4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0]
[4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0]
[4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0]
[4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0]
[5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0]
[5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0]
[5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0]
[5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0]
[5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0]
[5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0]
[5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0]
[5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0]
[5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0]
[5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0]
[5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0]
[5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0]
[5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0]
[5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0]
[5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0]
[5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0]
[5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0]
[5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0]
[5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0]
[5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0]
[5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0]
[5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0]
[5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0]
[5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,2,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,2,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,2,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[2,1,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,3,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,3,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,3,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,4,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,4,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,4,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[4,1,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,5] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,5,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,5,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,5,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,6,1] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,6,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,6,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,6,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0]
[6,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,2,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,2,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,2,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,2,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,2,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,2,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,2,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[2,1,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[2,2,1,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,2,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,2,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,2,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,3,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,3,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,3,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,2,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,2,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,2,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,2,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,3,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,3,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,3,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,3,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,1,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,3,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[3,1,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[3,1,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[3,1,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[3,1,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[3,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,2,4] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,4,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,2,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,2,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,4,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,4,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,2,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,2,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,2,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,4,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,4,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,4,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,2,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,2,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,2,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,2,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,4,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,4,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,4,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,4,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[2,1,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[2,4,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,1,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,1,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,1,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,1,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[4,2,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,2,5] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,5,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,2,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,2,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,5,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,5,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,2,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,2,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,2,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,5,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,5,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,5,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,2,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,2,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,2,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,2,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,5,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,1,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,1,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,1,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,1,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,5,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[5,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,6,2] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,2,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,6,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,6,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,2,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,2,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,2,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,6,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,6,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,6,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,2,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,2,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,2,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,2,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,6,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[2,1,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0]
[2,1,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[2,1,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[2,1,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[2,6,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[6,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0]
[6,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[6,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[6,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[6,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,3,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,3,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,3,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,3,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,3,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,3,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,3,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,3,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,3,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,3,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,1,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,1,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,1,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,1,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[3,3,1,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,3,4] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,4,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,3,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,3,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,4,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,4,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,3,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,3,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,3,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,4,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,4,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,4,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,3,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,3,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,3,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,3,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,4,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,1,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,1,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,1,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,1,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[3,4,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,1,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,1,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,1,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,1,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[4,3,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,3,5] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,5,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,3,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,3,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,5,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,5,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,3,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,3,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,3,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,5,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,5,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,5,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,3,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,3,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,3,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,3,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,5,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,1,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,1,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,1,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,1,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[3,5,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[5,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,6,3] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,3,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,6,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,6,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,3,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,3,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,3,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,6,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,6,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,6,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,3,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,3,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,3,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,3,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,6,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,1,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,1,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,1,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,1,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[3,6,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[6,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0]
[6,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[6,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[6,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[6,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,4,4] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,4,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,4,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,4,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,4,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,4,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,4,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,1,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,1,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,1,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,1,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[4,4,1,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,4,5] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,5,4] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,4,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,4,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,5,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,5,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,4,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,4,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,4,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,5,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,5,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,5,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,4,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,4,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,4,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,4,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,5,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,1,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,1,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,1,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,1,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[4,5,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[5,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0]
[5,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[5,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[5,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[5,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,4,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,6,4] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,4,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,4,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,6,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,6,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,4,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,4,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,4,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,6,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,6,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,6,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,4,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,4,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,4,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,4,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,6,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,6,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,6,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,6,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,1,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,1,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,1,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,1,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[4,6,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[6,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0]
[6,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[6,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[6,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[6,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,5,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,5,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,5,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,5,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,5,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,5,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,5,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[5,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0]
[5,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[5,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[5,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[5,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,6,5] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,5,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,5,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,6,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,6,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,5,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,5,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,5,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,6,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,6,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,6,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,5,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,6,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,6,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,6,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,6,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[5,1,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0]
[5,1,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[5,1,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[5,1,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[5,6,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[6,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0]
[6,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[6,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[6,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[6,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,2,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,2,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,2,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,2,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,2,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,1,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,2,1,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,2,1,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,2,1,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[2,2,2,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,2,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,2,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,2,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,3,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,3,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,2,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,1,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,2,1,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,2,1,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,2,1,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,2,3,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,3,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,3,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,3,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[2,3,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,1,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,2,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,2,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,2,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,2,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,2,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,4,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,2,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,4,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,4,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,4,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,2,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,4,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,1,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,2,1,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,2,1,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,2,1,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,2,4,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,4,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,4,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,4,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[2,4,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,1,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,2,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,2,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,2,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[4,2,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,2,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,2,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,5,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,2,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,5,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,5,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,5,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,2,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,5,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,1,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,2,1,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,2,1,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,2,1,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,2,5,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,5,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,5,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,5,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[2,5,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[5,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,2,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,2,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,6,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,2,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,6,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,6,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,6,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,2,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,6,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,1,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,2,1,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,2,1,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,2,1,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,2,6,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,6,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,6,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,6,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[2,6,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[6,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,2,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,3,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,3,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,2,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,2,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,2,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,3,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,2,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,3,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,1,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,3,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,3,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,3,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[2,3,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,1,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,2,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,2,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,2,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,2,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,3,1,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,3,1,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,3,1,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[3,3,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,2,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,2,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,3,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,3,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,4,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,4,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,2,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,3,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,2,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,3,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,4,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,1,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,3,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,3,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,3,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,3,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,4,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,4,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,4,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[2,4,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,1,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,2,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,2,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,2,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,2,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[3,4,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,1,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,2,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,2,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,2,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,2,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,3,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,3,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,3,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[4,3,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,2,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,2,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,3,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,3,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,5,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,5,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,2,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,3,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,5,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,2,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,3,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,5,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,1,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,3,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,3,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,3,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,3,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,5,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,5,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,5,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[2,5,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,1,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,2,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,2,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,2,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,2,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,5,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,5,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,5,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[3,5,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[5,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,2,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,2,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,3,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,3,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,6,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,6,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,2,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,3,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,6,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,2,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,3,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,6,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,1,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,3,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,3,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,3,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,3,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,6,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,6,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,6,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[2,6,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,1,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,2,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,2,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,2,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,2,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,6,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,6,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,6,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[3,6,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[6,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,2,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,4,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,4,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,2,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,2,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,2,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,4,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,2,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,4,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,1,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,4,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,4,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,4,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[2,4,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,1,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,2,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,2,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,2,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,2,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,4,1,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,4,1,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,4,1,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[4,4,2,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,2,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,2,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,4,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,4,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,5,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,5,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,2,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,4,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,5,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,2,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,4,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,5,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,1,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,4,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,4,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,4,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,4,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,5,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,5,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,5,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[2,5,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,1,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,2,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,2,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,2,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,2,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,5,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,5,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,5,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[4,5,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[5,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,2,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,2,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,4,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,4,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,6,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,6,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,2,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,4,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,6,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,2,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,4,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,6,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,1,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,4,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,4,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,4,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,4,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,6,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,6,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,6,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[2,6,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,1,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,2,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,2,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,2,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,2,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,6,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,6,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,6,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[4,6,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[6,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,2,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,5,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,5,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,2,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,2,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,2,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,5,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,2,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,5,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,1,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,5,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,5,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,5,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[2,5,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[5,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,2,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,5,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,5,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,6,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,6,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,2,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,5,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,6,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,2,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,5,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,6,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,1,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,5,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,5,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,5,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,5,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,6,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,6,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,6,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[2,6,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,1,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,2,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,2,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,2,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,2,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,6,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,6,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,6,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[5,6,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[6,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,3,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,3,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,3,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,3,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,3,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,1,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,3,1,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,3,1,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,3,1,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[3,3,3,1,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,3,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,3,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,4,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,3,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,4,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,4,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,4,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,3,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,4,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,1,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,3,1,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,3,1,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,3,1,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,3,4,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,4,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,4,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,4,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[3,4,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,1,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,3,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,3,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,3,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[4,3,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,3,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,3,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,5,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,3,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,5,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,5,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,5,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,3,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,5,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,1,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,3,1,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,3,1,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,3,1,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,3,5,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[3,5,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[5,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,3,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,3,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,6,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,3,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,6,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,6,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,6,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,3,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,6,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,1,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,3,1,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,3,1,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,3,1,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,3,6,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,6,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,6,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,6,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[3,6,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[6,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,3,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,4,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,4,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,3,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,3,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,3,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,4,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,3,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,4,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,1,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[3,4,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,1,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,3,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,3,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,3,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,3,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,4,1,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,4,1,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,4,1,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[4,4,3,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,3,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,3,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,4,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,4,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,5,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,5,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,3,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,4,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,5,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,3,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,4,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,5,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,4,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,5,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,5,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,5,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[3,5,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,3,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,3,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,3,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,3,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,5,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,5,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,5,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[4,5,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[5,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,3,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,3,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,4,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,4,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,6,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,6,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,3,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,4,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,6,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,3,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,4,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,6,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,1,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,4,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,6,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,6,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,6,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[3,6,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,1,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,3,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,3,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,3,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,3,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,6,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,6,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,6,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[4,6,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[6,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,3,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,5,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,5,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,3,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,3,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,3,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,5,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,3,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,5,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,1,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,5,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,5,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,5,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[3,5,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[5,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,3,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,3,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,5,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,5,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,6,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,6,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,3,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,5,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,6,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,3,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,5,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,6,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,1,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,5,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,5,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,5,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,5,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,6,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,6,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,6,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[3,6,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,1,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,3,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,3,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,3,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,3,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,6,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,6,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,6,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[5,6,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[6,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,4,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,4,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,4,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,4,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,4,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,1,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,4,1,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,4,1,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,4,1,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[4,4,4,1,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,4,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,4,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,5,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,4,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,5,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,5,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,5,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,4,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,5,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,1,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,4,1,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,4,1,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,4,1,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,4,5,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,5,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,5,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,5,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[4,5,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[5,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,4,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,4,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,6,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,4,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,6,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,6,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,6,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,4,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,6,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,1,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,4,1,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,4,1,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,4,1,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,4,6,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,6,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,6,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,6,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[4,6,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[6,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,4,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,5,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,5,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,4,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,4,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,4,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,5,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,4,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,5,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,1,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,5,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,5,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,5,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[4,5,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[5,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,4,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,5,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,5,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,6,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,6,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,4,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,5,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,6,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,4,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,5,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,6,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,1,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,5,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,5,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,5,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,5,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,6,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,6,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,6,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[4,6,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,1,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,4,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,4,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,4,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,4,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,6,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,6,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,6,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[5,6,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[6,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,2,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,2,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,1,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,1,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,1,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,1,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,2,1,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,2,1,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[2,2,2,2,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,2,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,2,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,2,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,3,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,2,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,3,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,1,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,1,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,2,1,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,2,1,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,2,3,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,3,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,3,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,2,3,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[2,3,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,1,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[3,2,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,2,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,2,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,2,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,4,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,2,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,4,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,4,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,4,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,4,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,1,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,1,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,2,1,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,2,1,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,2,4,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,4,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,4,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,2,4,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[2,4,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,1,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,1,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,1,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,1,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[4,2,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,2,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,2,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,2,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,5,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,2,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,5,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,5,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,5,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,5,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,1,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,1,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,2,1,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,2,1,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,2,5,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,5,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,5,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,2,5,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[2,5,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[5,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,2,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,2,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,2,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,6,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,2,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,6,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,6,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,6,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,6,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,1,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,1,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,2,1,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,2,1,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,2,6,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,6,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,6,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,2,6,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[2,6,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[6,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,2,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,2,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,2,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,3,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,3,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,3,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,2,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,3,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,1,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,1,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,1,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,1,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,3,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,3,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,2,3,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[2,3,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,1,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,2,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,1,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,1,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,1,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,2,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,2,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[3,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,2,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,3,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,3,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,3,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,4,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,4,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,4,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,2,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,3,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,4,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,1,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,1,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,3,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,3,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,3,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,4,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,4,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,2,4,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,3,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[2,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,1,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,2,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[3,4,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,1,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,2,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[4,3,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,2,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,3,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,3,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,3,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,5,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,5,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,5,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,2,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,3,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,5,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,1,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,1,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,3,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,3,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,3,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,5,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,5,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,2,5,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,3,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[2,5,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,1,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,2,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[3,5,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[5,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,2,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,3,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,3,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,3,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,6,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,6,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,6,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,2,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,3,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,6,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,1,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,1,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,3,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,3,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,3,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,6,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,6,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,2,6,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,3,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[2,6,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,1,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,2,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[3,6,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[6,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,2,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,2,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,2,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,4,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,4,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,4,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,2,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,4,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,1,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,1,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,1,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,1,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,4,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,4,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,2,4,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[2,4,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,1,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,2,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,1,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,1,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,1,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,2,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,2,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[4,4,2,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,2,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,4,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,4,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,4,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,5,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,5,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,5,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,2,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,4,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,5,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,1,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,1,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,4,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,4,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,4,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,5,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,5,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,2,5,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,4,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[2,5,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,1,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,2,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[4,5,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[5,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,2,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,4,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,4,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,4,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,6,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,6,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,6,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,2,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,4,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,6,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,1,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,1,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,4,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,4,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,4,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,6,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,6,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,2,6,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,4,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[2,6,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,1,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,2,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[4,6,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[6,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,2,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,2,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,2,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,5,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,5,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,5,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,2,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,5,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,1,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,1,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,1,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,1,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,5,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,5,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,2,5,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[2,5,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[5,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,2,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,5,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,5,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,5,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,6,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,6,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,6,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,2,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,5,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,6,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,1,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,1,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,5,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,5,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,5,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,6,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,6,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,2,6,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,5,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[2,6,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,1,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,2,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[5,6,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[6,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,2,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,3,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,3,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,3,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,2,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,3,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,1,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[2,3,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,1,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,2,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,1,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,2,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,2,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,2,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,3,1,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,3,1,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[3,3,3,2,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,2,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,2,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,2,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,3,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,4,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,4,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,4,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,2,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,3,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,4,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,1,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,3,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[2,4,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,1,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,2,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,1,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,2,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,2,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,2,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,4,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,4,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,3,4,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[3,4,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,1,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,2,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[4,3,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,2,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,2,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,2,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,3,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,5,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,5,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,5,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,2,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,3,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,5,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,1,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,3,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[2,5,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,1,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,2,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,1,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,2,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,2,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,2,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,5,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,5,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,3,5,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[3,5,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[5,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,2,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,2,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,2,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,3,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,6,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,6,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,6,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,2,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,3,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,6,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,1,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,3,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[2,6,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,1,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,2,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,1,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,2,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,2,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,2,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,6,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,6,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,3,6,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[3,6,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[6,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,2,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,2,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,2,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,3,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,3,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,3,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,4,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,2,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,3,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,4,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,1,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,3,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[2,4,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,1,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,2,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[3,4,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,1,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,2,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,3,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,1,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,2,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,2,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,2,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,3,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,3,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[4,4,3,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,2,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,3,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,4,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,5,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,2,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,3,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,4,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,1,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,3,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,4,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[2,5,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,1,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,2,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,4,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[3,5,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,1,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,2,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,3,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[4,5,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[5,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,2,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,3,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,4,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,6,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,2,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,3,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,4,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,1,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,3,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,4,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[2,6,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,1,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,2,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,4,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[3,6,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,1,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,2,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,3,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[4,6,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[6,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,2,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,2,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,2,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,3,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,3,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,3,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,5,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,2,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,3,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,5,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,1,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,3,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[2,5,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,1,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,2,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[3,5,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[5,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,2,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,3,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,5,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,6,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,2,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,3,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,5,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,6,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,1,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,3,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,5,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[2,6,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,1,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,2,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,5,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[3,6,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,1,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,2,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,3,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[5,6,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[6,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,2,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,4,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,4,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,4,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,2,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,2,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,2,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,2,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,4,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,1,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,1,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,1,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,1,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[2,4,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,1,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,2,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,1,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,2,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,2,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,2,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,4,1,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,4,1,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[4,4,4,2,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,2,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,2,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,2,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,4,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,5,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,5,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,5,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,2,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,4,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,5,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,1,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,4,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[2,5,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,1,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,2,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,1,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,2,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,2,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,2,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,5,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,5,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,4,5,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[4,5,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[5,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,2,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,2,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,2,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,4,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,6,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,6,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,6,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,2,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,4,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,6,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,1,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,4,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[2,6,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,1,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,2,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,1,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,2,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,2,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,2,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,6,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,6,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,4,6,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[4,6,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[6,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,2,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,2,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,2,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,4,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,4,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,4,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,5,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,2,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,4,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,5,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,1,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,4,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[2,5,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,1,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,2,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[4,5,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[5,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,2,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,2,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,2,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,2,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,2,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,2,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,4,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,5,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,6,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,2,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,4,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,5,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,6,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,1,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,4,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,5,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[2,6,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,1,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,2,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,5,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[4,6,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,1,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,2,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,4,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[5,6,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[6,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,3,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,3,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,1,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,1,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,1,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,1,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,3,1,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,3,1,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0]
[3,3,3,3,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,3,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,3,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,3,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,4,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,3,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,4,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,4,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,4,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,4,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,1,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,1,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,3,1,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,3,1,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,3,4,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,4,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,4,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,3,4,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[3,4,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,1,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[4,3,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,3,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,3,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,3,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,5,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,3,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,5,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,5,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,5,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,5,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,1,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,1,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,3,1,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,3,1,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,3,5,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,5,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,5,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,3,5,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[3,5,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[5,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,3,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,3,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,3,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,6,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,3,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,6,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,6,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,6,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,6,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,1,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,1,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,3,1,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,3,1,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,3,6,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,6,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,6,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,3,6,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[3,6,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[6,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,3,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,3,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,3,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,4,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,4,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,4,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,3,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,4,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,1,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,1,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,1,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,1,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,4,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,4,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,3,4,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[3,4,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,1,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,3,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,1,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,1,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,1,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,3,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,3,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[4,4,3,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,3,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,4,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,4,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,4,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,5,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,5,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,5,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,3,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,4,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,5,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,1,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,1,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,4,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,4,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,4,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,5,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,5,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,3,5,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,4,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[3,5,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,1,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,3,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[4,5,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[5,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,3,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,4,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,4,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,4,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,6,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,6,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,6,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,3,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,4,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,6,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,1,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,1,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,4,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,4,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,4,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,6,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,6,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,3,6,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,4,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[3,6,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,1,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,3,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[4,6,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[6,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,3,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,3,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,3,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,5,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,5,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,5,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,3,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,5,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,1,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,1,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,1,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,1,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,5,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,5,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,3,5,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[3,5,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[5,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,3,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,5,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,5,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,5,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,6,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,6,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,6,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,3,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,5,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,6,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,1,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,1,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,5,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,5,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,5,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,6,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,6,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,3,6,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,5,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[3,6,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,1,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,3,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[5,6,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[6,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,3,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,4,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,4,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,4,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,3,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,4,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,1,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,1,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,1,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,1,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[3,4,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,1,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,3,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,1,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,3,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,3,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,3,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,4,1,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,4,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[4,4,4,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,3,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,3,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,3,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,4,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,5,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,5,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,5,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,3,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,4,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,5,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,1,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,4,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[3,5,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,1,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,3,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,1,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,3,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,3,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,3,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,5,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,5,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,4,5,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[4,5,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[5,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,3,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,3,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,3,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,4,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,6,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,6,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,6,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,3,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,4,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,6,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,1,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,4,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[3,6,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,1,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,3,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,1,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,3,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,3,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,3,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,6,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,6,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,4,6,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[4,6,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[6,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,3,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,3,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,3,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,4,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,4,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,4,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,5,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,3,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,4,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,5,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,1,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,4,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[3,5,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,1,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,3,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[4,5,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[5,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,3,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,3,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,3,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,3,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,4,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,5,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,6,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,3,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,4,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,5,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,6,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,1,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,4,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,5,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[3,6,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,1,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,3,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,5,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[4,6,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,1,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,3,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,4,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[5,6,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[6,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,2,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,1,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,2,1,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,2,2,1,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,2,2,2,1,2] => [1,0,1,1,1,1,1,0,0,0,0,0]
[2,2,2,2,2,1] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,2,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,1,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,1,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,1,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,1,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,1,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,1,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,1,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,1,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,1,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,2,1,3] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,2,3,1] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,3,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,2,3,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,3,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,3,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,2,3,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,3,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,3,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,3,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[2,3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,1,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,2,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,2,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,2,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,2,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,4,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,1,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,1,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,1,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,1,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,1,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,1,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,1,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,1,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,1,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,2,1,4] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,2,4,1] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,4,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,2,4,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,4,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,4,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,2,4,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,4,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,4,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,4,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[2,4,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0]
[4,1,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[4,2,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[4,2,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[4,2,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0]
[4,2,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,2,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,5,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,1,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,1,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,1,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,1,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,1,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,1,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,1,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,1,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,1,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,2,1,5] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,2,5,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,5,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,2,5,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,5,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,5,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,2,5,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,5,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,5,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,5,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[2,5,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[5,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[5,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[5,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[5,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0]
[5,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,2,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,6,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,1,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,1,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,1,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,1,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,1,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,1,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,1,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,1,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,1,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,2,1,6] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,2,6,1] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,6,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,2,6,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,6,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,6,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,2,6,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,6,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,6,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,6,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[2,6,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0]
[6,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[6,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[6,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[6,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0]
[6,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,2,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,3,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,3,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,3,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,3,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,1,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,1,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,1,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,1,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,2,1,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,2,3,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,2,3,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,2,3,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[2,3,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,1,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,1,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,1,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,1,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,2,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,3,1,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,3,2,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,3,2,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[3,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,2,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,3,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,3,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,3,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,3,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,4,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,1,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,1,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,1,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,1,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,3,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,3,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,4,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,2,4,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,3,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,2,4,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,3,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[2,4,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,1,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,1,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,1,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,1,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,2,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,4,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,4,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,4,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[3,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,1,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,1,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,1,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,1,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,2,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,3,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,3,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,3,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0]
[4,3,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,2,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,3,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,3,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,3,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,3,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,5,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,5,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,5,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,5,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,1,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,1,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,1,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,1,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,3,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,3,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,5,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,2,5,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,3,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,2,5,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,3,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[2,5,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,1,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,1,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,1,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,1,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,2,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,5,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,5,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,5,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[3,5,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0]
[5,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,2,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,3,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,3,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,3,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,3,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,6,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,6,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,6,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,6,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,1,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,1,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,1,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,1,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,3,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,3,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,6,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,2,6,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,3,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,2,6,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,3,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[2,6,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,1,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,1,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,1,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,1,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,2,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,6,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,6,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,6,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[3,6,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0]
[6,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,2,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,4,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,1,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,1,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,1,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,1,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,2,1,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,2,4,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,2,4,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,2,4,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[2,4,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,1,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,1,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,1,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,1,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,2,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,4,1,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,4,2,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,4,2,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0]
[4,4,2,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,2,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,4,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,5,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,5,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,5,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,5,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,1,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,1,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,1,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,1,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,4,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,4,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,5,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,2,5,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,4,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,2,5,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,4,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[2,5,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,1,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,1,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,1,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,1,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,2,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,5,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,5,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,5,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[4,5,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0]
[5,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,2,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,4,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,6,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,6,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,6,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,6,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,1,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,1,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,1,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,1,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,4,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,4,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,6,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,2,6,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,4,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,2,6,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,4,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[2,6,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,1,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,1,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,1,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,1,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,2,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,6,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,6,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,6,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[4,6,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0]
[6,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,2,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,5,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,5,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,5,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,5,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,1,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,1,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,1,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,1,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,2,1,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,2,5,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,2,5,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,2,5,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[2,5,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0]
[5,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,2,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,5,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,5,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,5,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,5,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,6,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,6,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,6,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,6,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,1,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,1,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,1,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,1,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,5,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,5,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,6,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,2,6,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,5,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,2,6,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,5,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[2,6,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,1,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,1,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,1,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,1,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,2,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,6,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,6,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,6,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[5,6,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0]
[6,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,2,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,3,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,1,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,1,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,1,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,1,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,2,1,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,2,3,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,2,3,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,2,3,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[2,3,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,1,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,2,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,1,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,1,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,1,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,2,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,3,1,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,3,2,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0]
[3,3,3,2,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,2,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,3,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,4,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,1,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,1,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,1,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,1,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,3,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,4,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,4,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,2,4,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,3,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[2,4,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,1,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,2,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,1,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,1,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,1,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,2,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,4,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,4,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,3,4,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[3,4,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,1,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,2,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0]
[4,3,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,2,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,3,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,5,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,1,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,1,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,1,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,1,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,3,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,5,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,5,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,2,5,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,3,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[2,5,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,1,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,2,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,1,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,1,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,1,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,2,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,5,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,5,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,3,5,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[3,5,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0]
[5,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,2,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,3,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,6,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,1,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,1,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,1,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,1,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,3,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,6,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,6,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,2,6,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,3,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[2,6,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,1,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,2,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,1,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,1,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,1,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,2,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,6,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,6,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,3,6,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[3,6,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0]
[6,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,2,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,3,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,4,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,1,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,1,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,1,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,1,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,3,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,3,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,3,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,2,4,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,3,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[2,4,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,1,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,2,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[3,4,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,1,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,2,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,3,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,1,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,1,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,1,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,2,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,3,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,3,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0]
[4,4,3,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,2,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,3,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,4,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,5,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,1,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,1,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,3,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,4,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,5,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,3,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,4,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[2,5,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,1,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,2,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,4,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[3,5,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,1,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,2,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,3,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[4,5,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0]
[5,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,2,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,3,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,4,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,6,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,1,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,1,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,3,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,4,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,2,6,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,3,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,4,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[2,6,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,1,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,2,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,4,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[3,6,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,1,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,2,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,3,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[4,6,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0]
[6,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,2,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,3,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,5,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,1,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,1,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,1,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,1,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,3,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,3,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,3,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,2,5,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,3,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[2,5,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,1,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,2,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[3,5,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0]
[5,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,2,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,3,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,5,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,6,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,1,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,1,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,3,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,5,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,2,6,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,3,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,5,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[2,6,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,1,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,2,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,5,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[3,6,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,1,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,2,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,3,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[5,6,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0]
[6,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,2,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,4,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,1,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,1,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,1,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,1,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,2,1,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,2,4,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,2,4,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,2,4,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[2,4,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,1,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,2,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,1,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,1,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,1,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,2,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,4,1,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,4,2,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0]
[4,4,4,2,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,2,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,4,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,5,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,1,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,1,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,1,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,1,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,4,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,5,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,5,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,2,5,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,4,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[2,5,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,1,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,2,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,1,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,1,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,1,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,2,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,5,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,5,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,4,5,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[4,5,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0]
[5,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,2,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,4,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,6,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,1,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,1,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,1,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,1,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,4,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,6,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,6,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,2,6,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,4,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[2,6,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,1,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,2,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,1,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,1,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,1,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,2,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,6,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,6,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,4,6,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[4,6,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0]
[6,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,2,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,4,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,5,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,1,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,1,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,1,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,1,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,4,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,4,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,4,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,2,5,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,4,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[2,5,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,1,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,2,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[4,5,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0]
[5,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,2,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,4,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,5,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,6,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,1,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,1,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,4,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,5,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,2,6,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,4,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,5,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[2,6,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,1,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,2,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,5,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[4,6,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,1,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,2,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,4,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[5,6,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0]
[6,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,2,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,3,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,3,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,3,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,3,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[2,1,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[2,3,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,1,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,1,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,1,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,1,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,2,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,2,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,2,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,2,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,1,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,1,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,1,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,2,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,2,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,2,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,1,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,1,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,2,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,2,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,3,1,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[3,3,3,3,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,2,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,3,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,4,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,4,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,4,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,4,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,1,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,1,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,3,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,4,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,4,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,4,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[2,4,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,1,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,2,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,1,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,2,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,1,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,1,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,2,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,2,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,4,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,3,4,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,3,4,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[3,4,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,1,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,1,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,1,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,1,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,2,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,2,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,2,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,2,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0]
[4,3,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,2,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,3,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,5,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,5,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,5,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,5,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,1,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,1,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,1,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,1,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,3,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,5,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,5,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,5,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[2,5,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,1,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,2,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,1,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,2,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,1,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,1,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,2,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,2,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,5,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,3,5,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,3,5,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[3,5,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0]
[5,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,2,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,3,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,6,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,6,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,6,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,6,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,1,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,1,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,1,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,1,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,3,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,6,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,6,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,6,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[2,6,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,1,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,2,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,1,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,2,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,1,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,1,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,2,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,2,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,6,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,3,6,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,3,6,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[3,6,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0]
[6,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,2,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,3,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,4,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,1,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,3,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[2,4,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,1,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,2,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,1,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,1,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,1,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,2,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,2,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,2,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,3,4,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[3,4,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,1,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,2,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,3,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,1,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,1,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,1,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,2,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,2,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,2,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0]
[4,4,3,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,2,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,3,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,4,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,5,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,1,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,3,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,4,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,5,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,1,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,2,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,2,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,4,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,5,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,4,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[3,5,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,1,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,2,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,3,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[4,5,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0]
[5,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,2,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,3,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,4,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,6,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,1,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,3,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,4,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[2,6,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,1,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,2,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,1,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,2,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,4,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,3,6,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,4,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[3,6,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,1,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,2,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,3,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[4,6,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0]
[6,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,2,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,3,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,5,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,1,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,3,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[2,5,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,1,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,2,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,1,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,1,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,1,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,2,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,2,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,2,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,3,5,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[3,5,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0]
[5,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,2,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,3,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,5,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,6,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,1,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,3,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,5,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[2,6,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,1,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,2,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,1,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,2,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,5,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,3,6,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,5,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[3,6,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,1,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,2,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,3,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[5,6,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0]
[6,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,2,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,3,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,3,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,3,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,3,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,4,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,1,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,1,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,1,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,1,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,3,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,3,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,3,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,3,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[2,4,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,1,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,1,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,1,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,1,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,2,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,2,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,2,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,2,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[3,4,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,1,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,2,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,3,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,1,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,2,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,3,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,1,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,2,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,2,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,3,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[4,4,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,2,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,3,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,4,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,5,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,1,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,3,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,4,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[2,5,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,1,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,2,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,4,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,5,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,1,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,2,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,3,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,1,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,2,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,3,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,4,5,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[4,5,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0]
[5,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,3,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,4,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,6,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,1,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,3,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,4,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[2,6,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,1,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,2,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,4,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[3,6,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,1,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,2,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,3,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,1,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,2,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,3,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,4,6,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[4,6,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0]
[6,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,2,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,3,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,4,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,5,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,1,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,3,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,4,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[2,5,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,1,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,2,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,4,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[3,5,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,1,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,3,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,5,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0]
[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,2,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,3,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,4,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,5,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,6,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,3,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,4,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,5,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,1,6,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,3,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,4,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,5,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[2,6,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,2,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,4,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,5,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,1,6,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,4,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,5,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,5,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,6,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,1,6,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,4,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,5,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,2,6,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,4,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,5,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[3,6,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,2,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,3,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,5,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,1,6,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,3,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,3,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,5,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,5,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,6,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,1,6,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,3,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,5,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,2,6,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,2,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,2,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,5,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,5,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,6,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,1,6,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,1,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,1,6,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,5,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,5,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,6,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,2,6,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,5,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,3,6,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,5,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[4,6,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,2,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,3,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,4,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1,6,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,3,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,3,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,4,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,4,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,6,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,1,6,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,3,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,4,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,2,6,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,2,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,2,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,4,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,4,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,6,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,1,6,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,1,4,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,1,6,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,4,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,4,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,6,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,2,6,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,4,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,3,6,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,2,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,2,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,3,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,3,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,6,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,1,6,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,1,3,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,1,6,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,3,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,3,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,6,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,2,6,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,1,2,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,1,6,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,2,1,6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,2,6,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,6,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,3,6,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,4,6,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,6,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0]
[6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Sends a parking function to its support Dyck word.
Properties
surjective, graded
Sage code
def mapping(elt):
    return DyckWord(area_sequence=elt.to_area_sequence())
Weight
26
Created
Jan 26, 2020 at 12:31 by FindStatCrew
Updated
Jan 26, 2020 at 12:31 by Martin Rubey