edit this map or download as text // json
Identifier
Mp00099: Dyck paths —bounce path⟶ Dyck paths
Images
[] => []
[1,0] => [1,0]
[1,0,1,0] => [1,0,1,0]
[1,1,0,0] => [1,1,0,0]
[1,0,1,0,1,0] => [1,0,1,0,1,0]
[1,0,1,1,0,0] => [1,0,1,1,0,0]
[1,1,0,0,1,0] => [1,1,0,0,1,0]
[1,1,0,1,0,0] => [1,0,1,1,0,0]
[1,1,1,0,0,0] => [1,1,1,0,0,0]
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
>>> Load all 6522 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Sends a Dyck path $D$ of length $2n$ to its bounce path.
This path is formed by starting at the endpoint $(n,n)$ of $D$ and travelling west until encountering the first vertical step of $D$, then south until hitting the diagonal, then west again to hit $D$, etc. until the point $(0,0)$ is reached.
This map is the first part of the zeta map Mp00030zeta map.
References
[1] Vatter, V. A family of words counted by the Catalan numbers MathOverflow:131585
[2] Haglund, J. The $q$,$t$-Catalan numbers and the space of diagonal harmonics MathSciNet:2371044
Properties
idempotent, graded
Sage code
def mapping(D):
    return D.bounce_path()
Weight
26
Created
Jan 29, 2020 at 14:21 by FindStatCrew
Updated
Jan 29, 2020 at 14:21 by Christian Stump